Advice on Replacement Calls for Withdrawn/Superseded Routines (pdf version)
NAG Library Manual

Advice on Replacement Calls for Withdrawn/Superseded Routines

The following list gives the names of replacement routines for those routines that have been withdrawn or superseded. For routines that have been withdrawn or superseded since Mark 13 replacement calls are also given. The list indicates the minimum change necessary, but many of the replacement routines for those routines have additional flexibility and users may wish to take advantage of new features. It is strongly recommended that users consult the routine documents.

C02 – Zeros of Polynomials

C02ADF

Withdrawn at Mark 15.
Replaced by C02AFF. 
Old: CALL C02ADF(AR,AC,N,REZ,IMZ,TOL,IFAIL)
New: CALL C02AFF(A,N-1,SCALE,Z,W,IFAIL)
The coefficients are stored in the double precision array A of dimension (2,N+1)  rather than in the arrays AR and AC, the zeros are returned in the double precision array Z of dimension (2,N)  rather than in the arrays REZ and IMZ, and W is a double precision work array of dimension (4×(N+1)) .

C02AEF

Withdrawn at Mark 16.
Replaced by C02AGF. 
Old: CALL C02AEF(A,N,REZ,IMZ,TOL,IFAIL)
New: CALL C02AGF(A,N-1,SCALE,Z,W,IFAIL)
The zeros are returned in the double precision array Z of dimension (2,N)  rather than in the arrays REZ and IMZ, and W is a double precision work array of dimension (2×(N+1)) .

C05 – Roots of One or More Transcendental Equations

C05AAF

Withdrawn at Mark 9.
Replaced by C05ADF.

C05ABF

Withdrawn at Mark 9.
Replaced by C05ADF.

C05ACF

Withdrawn at Mark 9.
Replaced by C05ADF.

C05NAF

Withdrawn at Mark 10.
Replaced by C05NBF or C05NCF.

C05PAF

Withdrawn at Mark 8.
Replaced by C05PBF or C05PCF.

C06 – Summation of Series

C06AAF

Withdrawn at Mark 9.
Replaced by C06ECF or C06FRF.

C06ABF

Withdrawn at Mark 9.
Replaced by C06EAF or C06FPF.

C06ACF

Withdrawn at Mark 12.
Replaced by C06EKF or C06FKF.

C06ADF

Withdrawn at Mark 12.
Replaced by C06FFF.

D01 – Quadrature

D01AAF

Withdrawn at Mark 8.
Replaced by D01AJF.

D01ABF

Withdrawn at Mark 8.
Replaced by D01AJF.

D01ACF

Withdrawn at Mark 9.
Replaced by D01BDF.

D01ADF

Withdrawn at Mark 8.
Replaced by D01BAF or D01BBF.

D01AEF

Withdrawn at Mark 8.
Replaced by D01BAF or D01BBF.

D01AFF

Withdrawn at Mark 8.
Replaced by D01BAF or D01BBF.

D01AGF

Withdrawn at Mark 9.
Replaced by D01AJF.

D01FAF

Withdrawn at Mark 11.
Replaced by D01GBF.

D02 – Ordinary Differential Equations

D02AAF

Withdrawn at Mark 8.
Replaced by D02PDF and related routines.

D02ABF

Withdrawn at Mark 8.
Replaced by D02PCF and related routines.

D02ADF

Withdrawn at Mark 9.
Replaced by D02GAF or D02HAF.

D02AFF

Withdrawn at Mark 9.
Replaced by D02TGF.

D02AHF

Withdrawn at Mark 8.
Replaced by D02CJF or D02QFF.

D02AJF

Withdrawn at Mark 8.
Replaced by D02EJF and D02NBF and related routines.

D02BAF

Withdrawn at Mark 18.
Replaced by D02PCF and associated D02P routines. 
Old: CALL D02BAF(X,XEND,N,Y,TOL,FCN,W,IFAIL)
New: DO 10 L = 1,N
       THRES(L) = TOL
  10 CONTINUE
     CALL D02PVF(N,X,Y,XEND,TOL,THRES,2,'usualtask',.FALSE.,
    +            0.0D0,W,20*N,IFAIL)
     CALL D02PCF(FCN,XEND,X,Y,YP,YMAX,W,IFAIL)
THRES, YP and YMAX are double precision arrays of length N and the length of array W needs extending to length 20×N .

D02BBF

Withdrawn at Mark 18.
Replaced by D02PCF and associated D02P routines. 
Old: CALL D02BBF(X,XEND,N,Y,TOL,IRELAB,FCN,OUTPUT,W,IFAIL)
New: CALL D02PVF(N,X,Y,XEND,TOL,THRES,2,'usualtask',.FALSE.,
    +            0.0D0,W,20*N,IFAIL)
     ... set XWANT ...
  10 CONTINUE
     CALL D02PCF(FCN,XWANT,X,Y,YP,YMAX,W,IFAIL)
     IF (XWANT.LT.XEND) THEN
       ... reset XWANT ...
       GO TO 10
     ENDIF
THRES, YP and YMAX are double precision arrays of length N and the length of array W needs extending to length 20×N .

D02BDF

Withdrawn at Mark 18.
Replaced by D02PCF and associated D02P routines. 
Old: CALL D02BDF(X,XEND,N,Y,TOL,IRELAB,FCN,STIFF,YNORM,W,
    +            IW,M,OUTPUT,IFAIL)
New: CALL D02PVF(N,X,Y,XEND,TOL,THRES,2,'usualtask',.TRUE.,
    +            0.0D0,W,32*N,IFAIL)
     ... set XWANT ...
  10 CONTINUE
     CALL D02PCF(FCN,XWANT,X,Y,YP,YMAX,IFAIL)
     IF (XWANT.LT.XEND) THEN
       ... reset XWANT ...
       GO TO 10
     ENDIF
     CALL D02PZF(RMSERR,ERRMAX,TERRMX,W,IFAIL)
THRES, YP, YMAX and RMSERR are double precision arrays of length N and W is now a double precision one-dimensional array of length 32×N .

D02CAF

Withdrawn at Mark 18.
Replaced by D02CJF. 
Old: CALL D02CAF(X,XEND,N,Y,TOL,FCN,W,IFAIL)
New: CALL D02CJF(X,XEND,N,Y,FCN,TOL,'M',D02CJX,D02CJW,W,IFAIL)
D02CJX is a subroutine provided in the NAG Fortran Library and D02CJW is a double precision function also provided. Both must be declared as EXTERNAL. The array W needs to be 5 elements greater in length.

D02CBF

Withdrawn at Mark 18.
Replaced by D02CJF. 
Old: CALL D02CBF(X,XEND,N,Y,TOL,IRELAB,FCN,OUTPUT,W,IFAIL)
New: CALL D02CJF(X,XEND,N,Y,FCN,TOL,RELABS,OUTPUT,D02CJW,W,IFAIL)
D02CJW is a double precision function provided in the NAG Fortran Library and must be declared as EXTERNAL. The array W needs to be 5 elements greater in length. The integer parameter IRELAB (which can take values 0, 1 or 2) is catered for by the new CHARACTER*1 argument RELABS (whose corresponding values are 'M', 'A' and 'R').

D02CGF

Withdrawn at Mark 18.
Replaced by D02CJF. 
Old: CALL D02CGF(X,XEND,N,Y,TOL,HMAX,M,VAL,FCN,W,IFAIL)
New: CALL D02CJF(X,XEND,N,Y,FCN,TOL,'M',D02CJX,G,W,IFAIL)
     .
     .
     .
     double precision FUNCTION G(X,Y)
     double precision X,Y(*)
     G = Y(M)-VAL
     END
D02CJX is a subroutine provided in the NAG Fortran Library and should be declared as EXTERNAL. Note the functionality of HMAX is no longer available directly. Checking the value of Y(M) - VAL  at intervals of length HMAX can be effected by a user-supplied procedure OUTPUT in place of D02CJX in the call described above. See the routine document for D02CJF for more details.

D02CHF

Withdrawn at Mark 18.
Replaced by D02CJF. 
Old: CALL D02CHF(X,XEND,N,Y,TOL,IRELAB,HMAX,FCN,G,W,IFAIL)
New: CALL D02CJF(X,XEND,N,Y,FCN,TOL,RELABS,D02CJX,G,W,IFAIL)
D02CJX is a subroutine provided by the NAG Fortran Library and should be declared as EXTERNAL. The functionality of HMAX can be provided as described under the replacement call for D02CGF above. The relationship between the parameters IRELAB and RELABS is described under the replacement call for D02CBF.

D02EAF

Withdrawn at Mark 18.
Replaced by D02EJF. 
Old: CALL D02EAF(X,XEND,N,Y,TOL,FCN,W,IW,IFAIL)
New: CALL D02EJF(X,XEND,N,Y,FCN,TOL,'M',D02EJX,D02EJW,D02EJY,W,IW,
    +            IFAIL)
D02EJY and D02EJX are subroutines provided in the NAG Fortran Library and D02EJW is a double precision function also provided. All must be declared as EXTERNAL.

D02EBF

Withdrawn at Mark 18.
Replaced by D02EJF. 
Old: CALL D02EBF(X,XEND,N,Y,TOL,IRELAB,FCN,MPED,PEDERV,OUTPUT,W,IW,
    +            IFAIL)
New: CALL D02EJF(X,XEND,N,Y,FCN,PEDERV,TOL,RELABS,OUTPUT,D02EJW,W,IW,
    +            IFAIL)
D02EJW is a double precision function provided in the NAG Fortran Library and must be declared as EXTERNAL. The integer parameter IRELAB (which can take values 0, 1 or 2) is catered for by the new CHARACTER*1 argument RELABS (whose corresponding values are 'M', 'A' and 'R'). If MPED = 0  in the call of D02EBF then PEDERV must be the routine D02EJY, which is supplied in the Library and should be declared as EXTERNAL.

D02EGF

Withdrawn at Mark 18.
Replaced by D02EJF. 
Old: CALL D02EGF(X,XEND,N,Y,TOL,HMAX,M,VAL,FCN,W,IW,IFAIL)
New: CALL D02EJF(X,XEND,N,Y,FCN,D02EJY,TOL,'M',D02EJX,G,W,IW,IFAIL)
     .
     .
     .
     double precision FUNCTION G(X,Y)
     double precision X,Y(*)
     G = Y(M)-VAL
     END
D02EJY and D02EJX are subroutines provided in the NAG Fortran Library and should be declared as EXTERNAL. Note that the functionality of HMAX is no longer available directly. Checking the value of Y(M) - VAL  at intervals of length HMAX can be effected by a user-supplied procedure OUTPUT in place of D02EJX in the call described above. See the routine document for D02EJF for more details.

D02EHF

Withdrawn at Mark 18.
Replaced by D02EJF. 
Old: CALL D02EHF(X,XEND,N,Y,TOL,IRELAB,HMAX,MPED,PEDERV,FCN,G,W,IFAIL)
New: CALL D02EJF(X,XEND,N,Y,FCN,PEDERV,TOL,RELABS,D02EJX,G,W,IW,IFAIL)
D02EJX is a subroutine provided by the NAG Fortran Library and should be declared as EXTERNAL. The functionality of HMAX can be provided as described under the replacement call for D02EGF above. The relationship between the parameters IRELAB and RELABS is described under the replacement call for D02EBF. If MPED = 0  in the call of D02EHF then PEDERV must be the routine D02EJY, which is supplied in the Library and should be declared as EXTERNAL.

D02PAF

Withdrawn at Mark 18.
Replaced by D02PDF and associated D02P routines.
Existing programs should be modified to call D02PVF and D02PDF. The interfaces are significantly different and therefore precise details of a replacement call cannot be given. Please consult the appropriate routine documents.

D02QAF

Withdrawn at Mark 14.
Replaced by D02QFF, D02QWF and D02QXF.
Existing programs should be modified to call D02QWF and D02QFF. The interfaces are significantly different and therefore precise details of a replacement call cannot be given. Please consult the appropriate routine documents.

D02QBF

Withdrawn at Mark 13.
Replaced by D02NBF and related routines.
Existing programs should be modified to call D02NSF, D02NVF and D02NBF. The interfaces are significantly different and therefore precise details of a replacement call cannot be given. Please consult the appropriate routine documents.

D02QDF

Withdrawn at Mark 17.
Replaced by D02NBF or D02NCF.
Existing programs should be modified to call D02NSF, D02NVF and D02NBF, or D02NTF, D02NVF and D02NCF. The interfaces are significantly different and therefore precise details of a replacement call cannot be given. Please consult the appropriate routine documents.

D02QQF

Withdrawn at Mark 17.
not needed except with D02QDF.
Not needed except with D02QDF.

D02XAF

Withdrawn at Mark 18.
Replaced by D02PXF and associated D02P routines.
Not needed except with D02PAF. The equivalent routine is D02PXF.

D02XBF

Withdrawn at Mark 18.
Replaced by D02PXF and associated D02P routines.
Not needed except with D02PAF.

D02XGF

Withdrawn at Mark 14.
Replaced by D02QZF.
Not needed except with D02QAF. The equivalent routine is D02QZF.

D02XHF

Withdrawn at Mark 14.
Replaced by D02QZF.
Not needed except with D02QAF. The equivalent routine is D02QZF.

D02YAF

Withdrawn at Mark 18.
Replaced by D02PDF and associated D02P routines.
There is no precise equivalent to this routine. The closest alternative routine is D02PDF.

D03 – Partial Differential Equations

D03PAF

Withdrawn at Mark 17.
Replaced by D03PCF/D03PCA.
Existing programs should be modified to call D03PCF/D03PCA. The replacement routine is designed to solve a broader class of problems. Therefore it is not possible to give precise details of a replacement call. Please consult the appropriate routine documents.

D03PBF

Withdrawn at Mark 17.
Replaced by D03PCF/D03PCA.
Existing programs should be modified to call D03PCF/D03PCA. The replacement routine is designed to solve a broader class of problems. Therefore it is not possible to give precise details of a replacement call. Please consult the appropriate routine documents.

D03PGF

Withdrawn at Mark 17.
Replaced by D03PCF/D03PCA.
Existing programs should be modified to call D03PCF/D03PCA. The replacement routine is designed to solve a broader class of problems. Therefore it is not possible to give precise details of a replacement call. Please consult the appropriate routine documents.

E01 – Interpolation

E01ACF

Withdrawn at Mark 15.
Replaced by E01DAF and E02DEF. 
Old: CALL E01ACF(A,B,X,Y,F,VAL,VALL,IFAIL,XX,WORK,AM,D,IG1,M1,N1)
New: CALL E01DAF(N1,M1,X,Y,F,PX,PY,LAMDA,MU,C,WRK,IFAIL)
     A1(1) = A
     B1(1) = B
     M = 1
     CALL E02DEF(M,PX,PY,A1,B1,LAMDA,MU,C,FF,WRK,IWRK,IFAIL)
     VAL = FF(1)
     VALL = VAL
where PX, PY and M are INTEGER variables, LAMDA is a double precision array of dimension (N1+4) , MU is a double precision array of dimension (M1+4) , C is a double precision array of dimension (N1×M1) , WRK is a double precision array of dimension ((N1+6)×(M1+6)) , A1, B1 and FF are double precision arrays of dimension (1), and IWRK is an INTEGER array of dimension (M1).
The above new calls duplicate almost exactly the effect of the old call, except that the new routines produce a single interpolated value for each point, rather than the two alternative values VAL and VALL produced by the old routine. By attempting this duplication, however, efficiency is probably being sacrificed. In general it is preferable to evaluate the interpolating function provided by E01DAF at a set of M points, supplied in arrays A1 and B1, rather than at a single point. In this case, A1, B1 and FF must be dimensioned of length M.
Note also that E01ACF uses natural splines, i.e., splines having zero second derivatives at the ends of the ranges. This is likely to be slightly unsatisfactory, and E01DAF does not have this problem. It does mean however that results produced by E01DAF may not be exactly the same as those produced by E01ACF.

E01ADF

Withdrawn at Mark 9.
Replaced by E01BAF.

E01SEF

Withdrawn at Mark 20.
Replaced by E01SGF. 
Old: CALL E01SEF(M,X,Y,F,RNW,RNQ,NW,NQ,FNODES,MINNQ,WRK,IFAIL)
New: CALL E01SGF(M,X,Y,F,NW,NQ,IQ,LIQ,RQ,LRQ,IFAIL)
E01SEF has been superseded by E01SGF which gives improved accuracy, facilities for obtaining gradient values and a consistent interface with E01TGF for interpolation of scattered data in three dimensions.
The interpolant generated by the two routines will not be identical, but similar results may be obtained by using the same values of NW and NQ. Details of the interpolant are passed to the evaluator through the arrays IQ and RQ rather than FNODES and RNW.

E01SFF

Withdrawn at Mark 20.
Replaced by E01SHF. 
Old: CALL E01SFF(M,X,Y,F,RNW,FNODES,PX,PY,PF,IFAIL)
New: CALL E01SHF(M,X,Y,F,IQ,LIQ,RQ,LRQ,1,PX,PY,PF,QX,QY,IFAIL)
The two calls will not produce identical results due to differences in the generation routines E01SEF and E01SGF. Details of the interpolant are passed from E01SGF through the arrays IQ and RQ rather than FNODES and RNW.
E01SHF also returns gradient values in QX and QY and allows evaluation at arrays of points rather than just single points.

E02 – Curve and Surface Fitting

E02DBF

Withdrawn at Mark 16.
Replaced by E02DEF. 
Old: CALL E02DBF(M,PX,PY,X,Y,FF,LAMDA,MV,POINT,NPOINT,C,NC,IFAIL)
New: CALL E02DEF(M,PX,PY,X,Y,LAMDA,MU,C,FF,WRK,IWRK,IFAIL)
where WRK is a double precision array of dimension (PY-4) , and IWRK is an INTEGER array of dimension (PY-4) .

E04 – Minimizing or Maximizing a Function

E04AAF

Withdrawn at Mark 7.
Replaced by E04ABF/E04ABA.

E04BAF

Withdrawn at Mark 7.
Replaced by E04BBF/E04BBA.

E04CDF

Withdrawn at Mark 7.
Replaced by E04UCF/E04UCA.

E04CEF

Withdrawn at Mark 7.
Replaced by E04JAF.

E04CFF

Withdrawn at Mark 8.
Replaced by E04UCF/E04UCA.

E04CGF

Withdrawn at Mark 13.
Replaced by E04JAF. 
Old: CALL E04CGF(N,X,F,IW,LIW,W,LW,IFAIL)
New: CALL E04JAF(N,1,W,W(N+1),X,F,IW,LIW,W(2*N+1),LW-2*N,IFAIL)

E04DBF

Withdrawn at Mark 13.
Replaced by E04DGF/E04DGA. 
Old: CALL E04DBF(N,X,F,G,XTOL,FEST,DUM,W,FUNCT,MONIT,MAXCAL,IFAIL)
New: CALL E04DGF(N,OBJFUN,ITER,F,G,X,IWORK,WORK,IUSER,USER,IFAIL)
The subroutine providing function and gradient values to E04DGF/E04DGA is OBJFUN; it has a different parameter list to FUNCT, but can be constructed simply as 
      SUBROUTINE  OBJFUN(MODE,N,XC,FC,GC,NSTATE,IUSER,USER)
      INTEGER     MODE, N, NSTATE, IUSER(*)
      double precision XC(N), FC, GC(N), USER(*)
C
      CALL FUNCT(N,XC,FC,GC)
      RETURN
      END
The parameters IWORK and WORK are workspace parameters for E04DGF/E04DGA and must have lengths at least (N+1)  and (12×N)  respectively. IUSER and USER must be declared as arrays each of length at least (1).
There is no parameter MONIT to E04DGF/E04DGA, but monitoring output may be obtained by calling an option setting routine. Similarly, values for FEST and MAXCAL may be supplied by calling an option setting routine. See the routine document for further information.

E04DCF

Withdrawn at Mark 7.
Replaced by E04KDF or E04UCF/E04UCA.

E04DDF

Withdrawn at Mark 8.
Replaced by E04KDF or E04UCF/E04UCA.

E04DEF

Withdrawn at Mark 13.
Replaced by E04KAF. 
Old: CALL E04DEF(N,X,F,G,IW,LIW,W,LW,IFAIL)
New: CALL E04KAF(N,1,W,W(N+1),X,F,G,IW,LIW,W(2*N+1),LW-2*N,IFAIL)

E04DFF

Withdrawn at Mark 13.
Replaced by E04KCF. 
Old: CALL E04DFF(N,X,F,G,IW,LIW,W,LW,IFAIL)
New: CALL E04KCF(N,1,W,W(N+1),X,F,G,IW,LIW,W(2*N+1),LW-2*N,IFAIL)

E04EAF

Withdrawn at Mark 8.
Replaced by E04LBF.

E04EBF

Withdrawn at Mark 13.
Replaced by E04LAF. 
Old: CALL E04EBF(N,X,F,G,IW,LIW,W,LW,IFAIL)
New: CALL E04LYF(N,1,FUNCT,HESS,W,W(N+1),X,F,G,IW,LIW,W(2*N+1),LW-2*N,
    +            IUSER,USER,IFAIL)
FUNCT and HESS appear in the parameter list instead of the fixed-name subroutines FUNCT2 and HESS2 of E04LAF. FUNCT and HESS must both be declared as EXTERNAL in the calling (sub)program. In addition they have an extra two parameters, IUSER and USER, over and above those of FUNCT2 and HESS2. They may be derived from FUNCT2 and HESS2 as follows: 
      SUBROUTINE  FUNCT(N,XC,FC,GC,IUSER,USER)
      INTEGER     N, IUSER(*)
      double precision XC(N), FC, GC(N), USER(*)
C
      CALL FUNCT2(N,XC,FC,GC)
C
      RETURN
      END
      SUBROUTINE  HESS(N,XC,HESLC,LH,HESDC,IUSER,USER)
      INTEGER     N, LH, IUSER(*)
      double precision XC(N), HESLC(LH), HESDC(N), USER(*)
C
      CALL HESS2(N,XC,HESLC,LH,HESDC)
C
      RETURN
      END
In general, the extra parameters, IUSER and USER, should be declared in the calling program as IUSER(1)  and USER(1) , but will not need initialising.

E04FAF

Withdrawn at Mark 8.
Replaced by E04FCF or E04FDF.

E04FBF

Withdrawn at Mark 7.
Replaced by E04FCF or E04FDF.

E04FDF

Withdrawn at Mark 19.
Replaced by E04FYF. 
Old: CALL E04FDF(M,N,X,FSUMSQ,IW,LIW,W,LW,IFAIL)
New: CALL E04FYF(M,N,LSFUN,X,FSUMSQ,W,LW,IUSER,USER,IFAIL)
LSFUN appears in the parameter list instead of the fixed-name subroutine LSFUN1 of E04FDF. LSFUN must be declared as EXTERNAL in the calling (sub)program. In addition it has an extra two parameters, IUSER and USER, over and above those of LSFUN1. It may be derived from LSFUN1 as follows: 
      SUBROUTINE  LSFUN(M,N,XC,FVECC,IUSER,USER)
      INTEGER     M, N, IUSER(*)
      double precision XC(N), FVECC(M), USER(*)
C
      CALL LSFUN1(M,N,XC,FVECC)
C
      RETURN
      END
In general the extra parameters, IUSER and USER, should be declared in the calling program as IUSER(1)  and USER(1) , but will not need initialising.

E04GAF

Withdrawn at Mark 8.
Replaced by E04GBF, E04GCF, E04GDF or E04GEF.

E04GCF

Withdrawn at Mark 19.
Replaced by E04GYF. 
Old: CALL E04GCF(M,N,X,FSUMSQ,IW,LIW,W,LW,IFAIL)
New: CALL E04GYF(M,N,LSFUN,X,FSUMSQ,W,LW,IUSER,USER,IFAIL)
LSFUN appears in the parameter list instead of the fixed-name subroutine LSFUN2 of E04GCF. LSFUN must be declared as EXTERNAL in the calling (sub)program. In addition it has an extra two parameters, IUSER and USER, over and above those of LSFUN2. It may be derived from LSFUN2 as follows: 
      SUBROUTINE  LSFUN(M,N,XC,FVECC,FJACC,LJC,IUSER,USER)
      INTEGER     M, N, LJC, IUSER(*)
      double precision XC(N), FVECC(M), FJACC(LJC,N), USER(*)
C
      CALL LSFUN2(M,N,XC,FVECC,FJACC,LJC)
C
      RETURN
      END
In general the extra parameters, IUSER and USER, should be declared in the calling program as IUSER(1)  and USER(1) , but will not need initialising. If however, the array IW was used to pass information through E04GCF into LSFUN2, or get information from LSFUN2, then the array IUSER should be declared appropriately and used for this purpose.

E04GEF

Withdrawn at Mark 19.
Replaced by E04GZF. 
Old: CALL E04GEF(M,N,X,FSUMSQ,IW,LIW,W,LW,IFAIL)
New: CALL E04GZF(M,N,LSFUN,X,FSUMSQ,W,LW,IUSER,USER,IFAIL)
LSFUN appears in the parameter list instead of the fixed-name subroutine LSFUN2 of E04GEF. LSFUN must be declared as EXTERNAL in the calling (sub)program. In addition it has an extra two parameters, IUSER and USER, over and above those of LSFUN2. It may be derived from LSFUN2 as follows: 
      SUBROUTINE  LSFUN(M,N,X,FVECC,FJACC,LJC,IUSER,USER)
      INTEGER     M, N, LJC, IUSER(*)
      double precision XC(N), FVECC(M), FJACC(LJC,N), USER(*)
C
      CALL LSFUN2(M,N,XC,FVECC,FJACC,LJC)
C
      RETURN
      END
In general the extra parameters, IUSER and USER, should be declared in the calling program as IUSER(1)  and USER(1) , but will not need initialising. If however, the array IW was used to pass information through E04GEF into LSFUN2, or get information from LSFUN2, then the array IUSER should be declared appropriately and used for this purpose.

E04HAF

Withdrawn at Mark 7.
Replaced by E04UCF/E04UCA.

E04HBF

Withdrawn at Mark 16.
No longer required.

E04HFF

Withdrawn at Mark 19.
Replaced by E04HYF. 
Old: CALL E04HFF(M,N,X,FSUMSQ,IW,LIW,W,LW,IFAIL)
New: CALL E04HYF(M,N,LSFUN,LSHES,X,FSUMSQ,W,LW,IUSER,USER,IFAIL)
LSFUN and LSHES appear in the parameter list instead of the fixed-name subroutines LSFUN2 and LSHES2 of E04HFF. LSFUN and LSHES must both be declared as EXTERNAL in the calling (sub)program. In addition they have an extra two parameters, IUSER and USER, over and above those of LSFUN2 and LSHES2. They may be derived from LSFUN2 and LSHES2 as follows: 
      SUBROUTINE  LSFUN(M,N,XC,FVECC,FJACC,LJC,IUSER,USER)
      INTEGER     M, N, LJC, IUSER(*)
      double precision XC(N), FVECC(M), FJACC(LJC,N), USER(*)
C
      CALL LSFUN2(M,N,XC,FVECC,FJACC,LJC)
C
      RETURN
      END
C
      SUBROUTINE  LSHES(M,N,FVECC,XC,B,LB,IUSER,USER)
      INTEGER     M, N, LB, IUSER(*)
      double precision FVECC(M), XC(N), B(LB), USER(*)
C
      CALL LSHES2(M,N,FVECC,XC,B,LB)
C
      RETURN
      END
In general, the extra parameters, IUSER and USER, should be declared in the calling program as IUSER(1)  and USER(1) , but will not need initialising. If, however, the array IW was used to pass information through E04HFF into LSFUN2 or LSHES2, or to get information from LSFUN2, then the array IUSER should be declared appropriately and used for this purpose.

E04JAF

Withdrawn at Mark 19.
Replaced by E04JYF. 
Old: CALL E04JAF(N,IBOUND,BL,BU,X,F,IW,LIW,LW,IFAIL)
New: CALL E04JYF(N,IBOUND,FUNCT,BL,BU,X,F,IW,LIW,W,LW,IUSER,USER,IFAIL)
FUNCT appears in the parameter list instead of the fixed-name subroutine FUNCT1 of E04JAF. FUNCT must be declared as EXTERNAL in the calling (sub)program. In addition it has an extra two parameters, IUSER and USER, over and above those of FUNCT1. It may be derived from FUNCT1 as follows: 
      SUBROUTINE  FUNCT(N,XC,FC,IUSER,USER)
      INTEGER     N, IUSER(*)
      double precision XC(N), FC, USER(*)
C
      CALL FUNCT1(N,XC,FC)
C
      RETURN
      END
The extra parameters, IUSER and USER, should be declared in the calling program as IUSER(1)  and USER(1) , but will not need initialising.

E04JBF

Withdrawn at Mark 16.
Replaced by E04UCF/E04UCA.
No comparative calls are given between E04JBF and E04UCF/E04UCA since both routines have considerable flexibility and can be called with many different options. E04UCF/E04UCA allows some values to be passed to it, not through the parameter list, but as ‘optional parameters’, supplied through calls to E04UDF/E04UDA or E04UEF/E04UEA. Names of optional parameters are given here in bold type.
E04UCF/E04UCA is a more powerful routine than E04JBF, in that it allows for general linear and nonlinear constraints, and for some or all of the first derivatives to be supplied; however when replacing E04JBF, only the simple bound constraints are relevant, and only function values are assumed to be available.
Therefore E04UCF/E04UCA must be called with NCLIN = NCNLN = 0 , with dummy arrays of size (1) supplied as the arguments A, C and CJAC, and with the name of the auxiliary routine E04UDM (UDME04 in some implementations) as the argument CONFUN. The optional parameter Derivative Level must be set to 0.
The subroutine providing function values to E04UCF/E04UCA is OBJFUN. It has a different parameter list to FUNCT, but can be constructed as follows: 
       SUBROUTINE  OBJFUN(MODE,N,X,OBJF,OBJGRD,NSTATE,IUSER,USER)
       INTEGER     MODE, N, NSTATE, IUSER(*)
       double precision X(N), OBJF, OBJGRD(N), USER(*)
       INTEGER     IFLAG,IW(1)
       double precision W(1)
C
       IFLAG = 0
       CALL FUNCT(IFLAG,N,X,OBJF,OBJGRD,IW,1,W,1)
       IF (IFLAG.LT.0) MODE = IFLAG
       RETURN
       END
(This assumes that the arrays IW and W are not used to communicate between FUNCT and the calling program; E04UCF/E04UCA supplies the arrays IUSER and USER specifically for this purpose.)
The functions of the parameters BL and BU are similar, but E04UCF/E04UCA has no parameter corresponding to IBOUND; all elements of BL and BU must be set (as when IBOUND = 0  in the call to E04JBF). The optional parameter Infinite bound size must be set to 1.0D+6 if there are any infinite bounds. The function of the parameter ISTATE is similar but the specification is slightly different. The parameters F and G are equivalent to OBJF and OBJGRD of E04UCF/E04UCA. It should also be noted that E04UCF/E04UCA does not allow a user-supplied routine MONIT, but intermediate output is provided by the routine, under the control of the optional parameters Major print level and Minor print level.
Most of the ‘tuning’ parameters in E04JBF have their counterparts as ‘optional parameters’ to E04UCF/E04UCA, as indicated in the following list, but the correspondence is not exact and the specifications must be read carefully.
IPRINT Minor print level
INTYPE Cold start/Warm start
MAXCAL Minor iteration limit (note that this counts iterations rather than function calls)
ETA Line search tolerance
XTOL Optimality tolerance (note that this specifies the accuracy in F rather than the accuracy in X)
STEPMX Step limit
DELTA Difference interval

E04KAF

Withdrawn at Mark 19.
Replaced by E04KYF. 
Old: CALL E04KAF(N,IBOUND,BL,BU,X,F,G,IW,LIW,W,LW,IFAIL)
New: CALL E04KYF(N,IBOUND,FUNCT,BL,BU,X,F,G,IW,LIW,W,LW,IUSER,USER,IFAIL)
FUNCT appears in the parameter list instead of the fixed-name subroutine FUNCT2 of E04KAF. FUNCT must be declared as EXTERNAL in the calling (sub)program. In addition it has an extra two parameters, IUSER and USER, over and above those of FUNCT2. It may be derived from FUNCT2 as follows: 
      SUBROUTINE  FUNCT(N,XC,FC,GC,IUSER,USER)
      INTEGER     N, IUSER(*)
      double precision XC(N), FC, GC(N), USER(*)
C
      CALL FUNCT2(N,XC,FC,GC)
C
      RETURN
      END
The extra parameters, IUSER and USER, should be declared in the calling program as IUSER(1)  and USER(1) , but will not need initialising.

E04KBF

Withdrawn at Mark 16.
Replaced by E04UCF/E04UCA.
No comparative calls are given between E04KBF and E04UCF/E04UCA since both routines have considerable flexibility and can be called with many different options. Most of the advice given for replacing E04JBF (see above) applies also to E04KBF, and only the differences are given here.
The optional parameter Derivative Level must be set to 1.
The subroutine providing both function and gradient values to E04UCF/E04UCA is OBJFUN. It has a different parameter list to FUNCT, but can be constructed as follows: 
      SUBROUTINE  OBJFUN(MODE,N,X,OBJF,OBJGRD,NSTATE,IUSER,USER)
      INTEGER     MODE, N, NSTATE, IUSER(*)
      double precision X(N), OBJF, OBJGRD(N), USER(*)
      INTEGER     IW(1)
      double precision W(1)
C
      CALL FUNCT(MODE,N,X,OBJF,OBJGRD,IW,1,W,1)
      RETURN
      END

E04KCF

Withdrawn at Mark 19.
Replaced by E04KZF. 
Old: CALL E04KCF(N,IBOUND,BL,BU,X,F,G,IW,LIW,W,LW,IFAIL)
New: CALL E04KZF(N,IBOUND,FUNCT,BL,BU,X,F,G,IW,LIW,W,LW,IUSER,USER,IFAIL)
FUNCT appears in the parameter list instead of the fixed-name subroutine FUNCT2 of E04KCF. FUNCT must be declared as EXTERNAL in the calling (sub)program. In addition it has an extra two parameters, IUSER and USER, over and above those of FUNCT2. It may be derived from FUNCT2 as follows: 
      SUBROUTINE  FUNCT(N,XC,FC,GC,IUSER,USER)
      INTEGER     N, IUSER(*)
      double precision XC(N), FC, GC(N), USER(*)
C
      CALL FUNCT2(N,XC,FC,GC)
C
      RETURN
      END
The extra parameters, IUSER and USER, should be declared in the calling program as IUSER(1)  and USER(1) , but will not need initialising.

E04LAF

Withdrawn at Mark 19.
Replaced by E04LYF. 
Old: CALL E04LAF(N,IBOUND,BL,BU,X,F,G,IW,LIW,W,LW,IFAIL)
New: CALL E04LYF(N,IBOUND,FUNCT,HESS,BL,BU,X,F,G,IW,LIW,W,LW,IUSER,USER,
    +            IFAIL)
FUNCT and HESS appear in the parameter list instead of the fixed-name subroutines FUNCT2 and HESS2 of E04LAF. FUNCT and HESS must both be declared as EXTERNAL in the calling (sub)program. In addition they have an extra two parameters, IUSER and USER, over and above those of FUNCT2 and HESS2. They may be derived from FUNCT2 and HESS2 as follows: 
      SUBROUTINE  FUNCT(N,XC,FC,GC,IUSER,USER)
      INTEGER     N, IUSER(*)
      double precision XC(N), FC, GC(N), USER(*)
C
      CALL FUNCT2(N,XC,FC,GC)
C
      RETURN
      END
      SUBROUTINE  HESS(N,XC,HESLC,LH,HESDC,IUSER,USER)
      INTEGER     N, LH, IUSER(*)
      double precision XC(N), HESLC(LH), HESDC(N), USER(*)
C
      CALL HESS2(N,XC,HESLC,LH,HESDC)
C
      RETURN
      END
In general, the extra parameters, IUSER and USER, should be declared in the calling program as IUSER(1)  and USER(1) , but will not need initialising.

E04MBF

Withdrawn at Mark 18.
Replaced by E04MFF/E04MFA. 
Old: CALL E04MBF(ITMAX,MSGLVL,N,NCLIN,NCTOTL,NROWA,A,BL,BU,CVEC,
    +            LINOBJ,X,ISTATE,OBJLP,CLAMDA,IWORK,LIWORK,WORK,
    +            LWORK,IFAIL)
New: CALL E04MFF(N,NCLIN,A,NROWA,BL,BU,CVEC,ISTATE,X,ITER,OBJLP,
    +            AX,CLAMDA,IWORK,LIWORK,WORK,LWORK,IFAIL)
The parameter NCTOTL is no longer required. Values for ITMAX, MSGLVL and LINOBJ may be supplied by calling an option setting routine.
E04MFF/E04MFA contains two additional parameters as follows:
The minimum value of the parameter LIWORK must be increased from 2 × N  to 2 × N + 3 . The minimum value of the parameter LWORK may also need to be changed. See the routine documents for further information.

E04NAF

Withdrawn at Mark 18.
Replaced by E04NFF/E04NFA. 
Old: CALL E04NAF(ITMAX,MSGLVL,N,NCLIN,NCTOTL,NROWA,NROWH,NCOLH,
    +            BIGBND,A,BL,BU,CVEC,FEATOL,HESS,QPHESS,COLD,LP,
    +            ORTHOG,X,ISTATE,ITER,OBJ,CLAMDA,IWORK,LIWORK,
    +            WORK,LWORK,IFAIL)
New: CALL E04NFF(N,NCLIN,A,NROWA,BL,BU,CVEC,HESS,NROWH,QPHESS,
    +            ISTATE,X,ITER,OBJ,AX,CLAMDA,IWORK,LIWORK,WORK,
    +            LWORK,IFAIL)
The specification of the subroutine QPHESS must also be changed as follows: 
Old: SUBROUTINE  QPHESS(N,NROWH,NCOLH,JTHCOL,HESS,X,HX)
     INTEGER     N, NROWH, NCOLH, JTHCOL
     double precision HESS(NROWH,NCOLH), X(N), HX(N)
New: SUBROUTINE  QPHESS(N,JTHCOL,HESS,NROWH,X,HX)
     INTEGER     N, JTHCOL, NROWH
     double precision HESS(NROWH,*), X(N), HX(N)
The parameters NCTOTL, NCOLH and ORTHOG are no longer required. Values for ITMAX, MSGLVL, BIGBND, FEATOL, COLD and LP may be supplied by calling an option setting routine.
E04NFF/E04NFA contains one additional parameter as follows:
The minimum value of the parameter LIWORK must be increased from 2 × N  to 2 × N + 3 . The minimum value of the parameter LWORK may also need to be changed. See the routine documents for further information.

E04NKF/E04NKA

Scheduled for withdrawal at Mark 23.
Replaced by E04NQF. 
Old: CALL E04NKF(N,M,NNZ,IOBJ,NCOLH,QPHX,A,HA,KA,BL,BU,START,
    +            NAMES,NNAME,CRNAME,NS,XS,ISTATE,,MINIZ, MINZ, NINF,
    +            SINF,OBJ,CLAMDA,IZ,LENIZ,Z,LENZ,IFAIL)
New: CALL E04NQF(START,QPHX,M,N,NE,NNAME,LENC,NCOLH,IOBJ,OBJADD,
    +            PROB,ACOL,INDA,LOCA,BL,BU,C,NAMES,HELAST,HS,X,PI,RC,NS,
    +            NINF,SINF,OBJ,CW,LENCW,IW,LENIW,RW,LENRW,
    +            CUSER,IUSER,RUSER,IFAIL)
where:
START has the same meaning in both calls
QPHX is a user-provided function supplying the matrix product Hx in both calls: 
Old: SUBROUTINE  QPHX(NSTATE, NCOLH, X, HX)
New: SUBROUTINE  QPHX(NCOLH,X,HX,NSTATE,CUSER,IUSER,RUSER)
Here parameters with the same name have the same roles. The extra parameters CUSER, USER, USER are user workspace that may be used instead of COMMON to pass information into QPHX.
M has the same meaning, the number of linear constraints.
N has the same meaning, the number of variables.
NE has the same meaning as NNZ in E04NKF.
NNAME has the same meaning in both calls.
LENC is unique to E04NQF.
NCOLH has the same meaning in both calls.
IOBJ has the same meaning in both calls.
OBJADD is unique to E04NQF.
PROB is unique to E04NQF, but see NAME(1) of E04NKF.
ACOL is A in the call to E04NKF.
INDA is HA in the call to E04NKF.
LOCA is KA in the call to E04NKF.
BL has the same meaning in both calls.
BU has the same meaning in both calls.
C is unique to E04NQF.
NAMES corresponds to CRNAME of E04NKF - NOT to NAMES of E04NKF.
HELAST is unique to E04NQF.
HS is unique to E04NQF.
X is XS in the call to E04NKF.
PI is unique to E04NQF.
RC is CLAMDA in the call to E04NKF.
NS is unique to E04NQF.
NINF has the same meaning in both calls.
SINF has the same meaning in both calls.
OBJ has the same meaning in both calls.
CW is unique to E04NQF.
LENCW is unique to E04NQF.
IW corresponds (roughly) to IZ in the call to E04NKF.
LENIW corresponds to LENIZ in the call tp E04NKF.
RW corresponds (roughly) to Z in the call to E04NKF.
LENRW corresponds to LENZ in the call to E04NKF.
CUSER is unique to E04NQF.
IUSER is unique to E04NQF.
RUSER is unique to E04NQF.
IFAIL has the same meaning in both calls.

E04NLF/E04NLA

Scheduled for withdrawal at Mark 23.
Replaced by E04NRF. 
Old: CALL E04NLF(IOPTNS,INFORM)
New: CALL E04NPF(CW,LENCW,IW,LENIW,RW,LENRW,IFAIL) !initialisation
     IF (IFAIL.EQ.0) THEN
       INFORM=1
       CALL E04NRF(IOPTNS,CW,IW,RW,INFORM)         !set options
       etc ...

E04NMF/E04NMA

Scheduled for withdrawal at Mark 23.
Replaced by E04NSF, E04NTF and E04NUF. 
Old: CALL E04NMF(string)
New: CALL E04NPF(CW,LENCW,IW,LENIW,RW,LENRW,IFAIL) !initialisation
     IF (IFAIL.EQ.0) THEN
       INFORM=0
       CALL E04NSF(string,CW,IW,RW,INFORM)         !set options
       etc ...
Or to set an integer value:
Old: CALL E04NMF('option = n')
New: CALL E04NPF(CW,LENCW,IW,LENIW,RW,LENRW,IFAIL) !initialisation
     IF (IFAIL.EQ.0) THEN
       INFORM=0
       CALL E04NTF('option',n,CW,IW,RW,INFORM)     !set options
       etc ...
Or to set a double precision value:
Old: CALL E04NMF('option = v')
New: CALL E04NPF(CW,LENCW,IW,LENIW,RW,LENRW,IFAIL) !initialisation
     IF (IFAIL.EQ.0) THEN
       INFORM=0
       CALL E04NUF('option',v,CW,IW,RW,INFORM)     !set options
       etc ...

E04UAF

Withdrawn at Mark 13.
Replaced by E04UCF/E04UCA.
No comparative calls are given between E04UAF and E04UCF/E04UCA since both routines have considerable flexibility and can be called with many different options. However users of E04UAF should have no difficulty in making the transition. Most of the ‘tuning’ parameters in E04UAF have their counterparts as optional parameters to E04UCF/E04UCA, and these may be provided by calling an option setting routine prior to the call to E04UCF/E04UCA. The subroutines providing function and constraint values to E04UCF/E04UCA are OBJFUN and CONFUN respectively; they have different parameter lists to FUNCT1 and CON1, but can be constructed simply as 
      SUBROUTINE  OBJFUN(MODE,N,X,OBJF,OBJGRD,NSTATE,IUSER,USER)
      INTEGER     MODE, N, NSTATE, IUSER(*)
      double precision X(N), OBJF, OBJGRD(N), USER(*)
C
      CALL FUNCT1(MODE,N,X,OBJF)
      RETURN
      END
      SUBROUTINE  CONFUN(MODE,NCNLN,N,NROWJ,NEEDC,X,C,CJAC.NSTATE,
    +             IUSER,USER)
      INTEGER     MODE, NCNLN, N, NROWJ, NEEDC(*), NSTATE, IUSER(*)
      double precision X(X), C(*), CJAC(NROWJ,*), USER(*)
C
      CALL CON1(MODE,N,NCNLN,X,C)
      RETURN
      END
The parameters OBJGRD, NEEDC, CJAC, IUSER and USER are the same as those for E04UCF/E04UCA itself. It is important to note that, unlike FUNCT1 and CON1, a call to CONFUN is not preceded by a call to OBJFUN with the same values in X, so that FUNCT1 and CON1 will need to be modified if this property was being utilized. It should also be noted that E04UCF/E04UCA allows general linear constraints to be supplied separately from nonlinear constraints, and indeed this is to be encouraged, but the above call to CON1 assumes that linear constraints are being regarded as nonlinear.

E04UCF/E04UCA

Scheduled for withdrawal at Mark 23.
Replaced by E04WDF. 
Old: CALL E04UCF(N,NCLIN,NCNLN,LDA,LDCJ,LDR,A,BL,BU,CONFUN,
    +            OBJFUN,ITER,ISTATE,C,CJAC,CLAMDA,OBJF,OBJGRD,
    +            R,X,IWORK,LIWORK,WORK,LWORK,IUSER,USER,IFAIL)
New: CALL E04WDF(N,NCLIN,NCNLN,LDA,LDCJ,LDH,A,BL,BU,CONFUN,OBJFUN,
    +            MAJITS,ISTATE,CCON,CJAC,CLAMDA,OBJF,GRAD,HESS,X,IW,
    +            LENIW,RW,LENRW,IUSER,RUSER,IFAIL)
where

E04UNF

Scheduled for withdrawal at Mark 22.
Replaced by E04USF/E04USA. 
Old: CALL E04UNF(M,N,NCLIN,NCNLN,LDA,LDCJ,LDFJ,
    +            LDR,A,BL,BU,Y,CONFUN,OBJFUN,ITER,
    +            ISTATE,C,CJAC,F,FJAC,CLAMDA,OBJF,
    +            R,X,IWORK,LIWORK,WORK,LWORK,IUSER,
    +            USER,IFAIL)
New: CALL E04USF(M,N,NCLIN,NCNLN,LDA,LDCJ,LDFJ,
    +            LDR,A,BL,BU,Y,CONFUN,OBJFUN,ITER,
    +            ISTATE,C,CJAC,F,FJAC,CLAMDA,OBJF,
    +            R,X,IWORK,LIWORK,WORK,LWORK,IUSER,
    +            USER,IFAIL)
The specification of the subroutine OBJFUN must also be changed as follows:
Old: SUBROUTINE  OBJFUN(MODE,M,N,LDFJ,X,F,FJAC,NSTATE,IUSER,USER)
     INTEGER     MODE,M,N,LDFJ,NSTATE,IUSER(*)
     double precision X(N),F(*),FJAC(LDFJ,*),USER(*)
New: SUBROUTINE  OBJFUN(MODE,M,N,LDFJ,NEEDFI,X,F,FJAC,NSTATE,
    +                   IUSER,USER)
     INTEGER     MODE,M,N,NEEFI,NSTATE,IUSER(*)
     double precision X(N),F(*),FJAC(LDFJ,*),USER(*)
See the routine documents for further information.

E04UPF

Withdrawn at Mark 19.
Replaced by E04UNF. 
Old: CALL E04UPF(M,N,NCLIN,NCNLN,LDA,LDCJ,LDFJ,LDR,A,BL,BU,
    +            CONFUN,OBJFUN,ITER,ISTATE,C,CJAC,F,FJAC,
    +            CLAMDA,OBJF,R,X,IWORK,LIWORK,WORK,LWORK,
    +            IUSER,USER,IFAIL)
New: CALL E04USF(M,N,NCLIN,NCNLN,LDA,LDCJ,LDFJ,
    +            LDR,A,BL,BU,Y,CONFUN,OBJFUN,ITER,
    +            ISTATE,C,CJAC,F,FJAC,CLAMDA,OBJF,
    +            R,X,IWORK,LIWORK,WORK,LWORK,IUSER,
    +            USER,IFAIL)
E04USF/E04USA contains one additional parameter as follows:
Note that a call to E04UPF is the same as a call to E04USF/E04USA with Y(i) =0.0 , for i=1,2,…,M .
The specification of the subroutine OBJFUN must also be changed as follows:
Old: SUBROUTINE  OBJFUN(MODE,M,N,LDFJ,X,F,FJAC,NSTATE,IUSER,USER)
     INTEGER     MODE,M,N,LDFJ,NSTATE,IUSER(*)
     double precision X(N),F(*),FJAC(LDFJ,*),USER(*)

New: SUBROUTINE  OBJFUN(MODE,M,N,LDFJ,NEEDFI,X,F,FJAC,NSTATE,
    +                   IUSER,USER)
     INTEGER     MODE,M,N,NEEFI,NSTATE,IUSER(*)
     double precision X(N),F(*),FJAC(LDFJ,*),USER(*)
See the routine documents for further information.

E04VAF

Withdrawn at Mark 12.
Replaced by E04UCF/E04UCA.

E04VBF

Withdrawn at Mark 12.
Replaced by E04UCF/E04UCA.

E04VCF

Withdrawn at Mark 17.
Replaced by E04UCF/E04UCA. 
Old: CALL E04VCF(ITMAX,MSGLVL,N,NCLIN,NCNLN,NCTOTL,NROWA,NROWJ,
    +            NROWR,BIGBND,EPSAF,ETA,FTOL,A,BL,BU,FEATOL,
    +            CONFUN,OBJFUN,COLD,FEALIN,ORTHOG,X,ISTATE,R,ITER,
    +            C,CJAC,OBJF,OBJGRD,CLAMDA,IWORK,LIWORK,WORK,LWORK,
    +            IFAIL)
New: CALL E04UCF(N,NCLIN,NCNLN,NROWA,NROWJ,NROWR,A,BL,BU,CONFUN,
    +            OBJFUN,ITER,ISTATE,C,CJAC,CLAMDA,OBJF,OBJGRD,R,X,
    +            IWORK,LIWORK,WORK,LWORK,IUSER,USER,IFAIL)
The specification of the subroutine OBJFUN must also be changed as follows: 
Old: SUBROUTINE  OBJFUN(MODE,N,X,OBJF,OBJGRD,NSTATE)
     INTEGER     MODE, N, NSTATE
     double precision X(N), OBJF, OBJGRD(N)
New: SUBROUTINE  OBJFUN(MODE,N,X,OBJF,OBJGRD,NSTATE,IUSER,USER)
     INTEGER     MODE, N, NSTATE, IUSER(*)
     double precision X(N), OBJF, OBJGRD(N), USER(*)
If NCNLN > 0 , the specification of the subroutine CONFUN must also be changed as follows: 
Old: SUBROUTINE  CONFUN(MODE,NCNLN,N,NROWJ,X,C,CJAC,NSTATE)
     INTEGER     MODE, NCNLN, N, NROWJ, NSTATE
     double precision X(N), C(NROWJ), CJAC(NROWJ,N)

New: SUBROUTINE  CONFUN(MODE,NCNLN,N,NROWJ,NEEDC,X,C,CJAC,NSTATE,
    +                   IUSER,USER)
     INTEGER     MODE, NCNLN, N, NROWJ, NEEDC(NCNLN), NSTATE, IUSER(*)
     double precision X(N), C(NCNLN), CJAC(NROWJ,N), USER(*)
If NCNLN = 0 , then the name of the dummy routine E04VDM (VDME04 in some implementations) may need to be changed to E04UDM (UDME04 in some implementations) in the calling program.
The parameters NCTOTL, EPSAF, FEALIN and ORTHOG are no longer required. Values for ITMAX, MSGLVL, BIGBND, ETA, FTOL, COLD and FEATOL may be supplied by calling an option setting routine.
E04UCF/E04UCA contains two additional parameters as follows:
The minimum value of the parameter LIWORK must be increased from 3 × N + NCLIN + NCNLN  to 3 × N + NCLIN + 2 × NCNLN . The minimum value of the parameter LWORK may also need to be changed. See the routine documents for further information.

E04VDF

Withdrawn at Mark 17.
Replaced by E04UCF/E04UCA. 
Old: IFAIL = 110
     CALL E04VDF(ITMAX,MSGLVL,N,NCLIN,NCNLN,NCTOTL,NROWA,NROWJ,
    +            CTOL,FTOL,A,BL,BU,CONFUN,OBJFUN,X,ISTATE,C,CJAC,
    +            CJAC,OBJF,OBJGRD,CLAMDA,IWORK,LIWORK,WORK,LWORK,
    +            IFAIL)
New: IFAIL = -1
     CALL E04UCF(N,NCLIN,NCNLN,NROWA,NROWJ,N,A,BL,BU,CONFUN,OBJFUN,
    +            ITER,ISTATE,C,CJAC,CLAMDA,OBJF,OBJGRD,R,X,IWORK,
    +            LIWORK,WORK,LWORK,IUSER,USER,IFAIL)
The specification of the subroutine OBJFUN must also be changed as follows: 
Old: SUBROUTINE  OBJFUN(MODE,N,X,OBJF,OBJGRD,NSTATE)
     INTEGER     MODE, N, NSTATE
     double precision X(N), OBJF, OBJGRD(N)
New: SUBROUTINE  OBJFUN(MODE,N,X,OBJF,OBJGRD,NSTATE,IUSER,USER)
     INTEGER     MODE, N, NSTATE, IUSER(*)
     double precision X(N), OBJF, OBJGRD(N), USER(*)
If NCNLN > 0 , the specification of the subroutine CONFUN must also be changed as follows: 
Old: SUBROUTINE  CONFUN(MODE,NCNLN,N,NROWJ,X,C,CJAC,NSTATE)
     INTEGER     MODE, NCNLN, N, NROWJ, NSTATE
     double precision X(N), C(NROWJ), CJAC(NROWJ,N)
New: SUBROUTINE  CONFUN(MODE,NCNLN,N,NROWJ,NEEDC,X,C,CJAC,NSTATE,
    +            IUSER,USER)
     INTEGER     MODE, NCNLN, N, NROWJ, NEEDC(NCNLN), NSTATE, IUSER(*)
     double precision X(N), C(NCNLN), CJAC(NROWJ,N), USER(*)
If NCNLN = 0 , then the name of the dummy routine E04VDM (VDME04 in some implementations) may need to be changed to E04UDM (UDME04 in some implementations) in the calling program.
The parameter NCTOTL is no longer required. Values for ITMAX, MSGLVL, CTOL and FTOL may be supplied by calling an option setting routine.
E04UCF/E04UCA contains four additional parameters as follows:
The minimum value of the parameter LIWORK must be increased from 3 × N + NCLIN + NCNLN  to 3 × N + NCLIN + 2 × NCNLN . The minimum value of the parameter LWORK may also need to be changed. See the routine documents for further information.

E04WAF

Withdrawn at Mark 12.
Replaced by E04UCF/E04UCA.

E04ZAF

Withdrawn at Mark 12.
Replaced by E04ZCF/E04ZCA.

E04ZBF

Withdrawn at Mark 12.
no longer required.

F01 – Matrix Operations, Including Inversion

F01AAF

Withdrawn at Mark 17.
Replaced by F07ADF (DGETRF) and F07AJF (DGETRI). 
Old: CALL F01AAF(A,IA,N,X,IX,WKSPCE,IFAIL)
New: CALL sgetrf(N,N,A,IA,IPIV,IFAIL)
     CALL F06QFF('General',N,N,A,IA,X,IX)
     CALL sgetri(N,X,IX,IPIV,WKSPCE,LWORK,IFAIL)
where IPIV is an INTEGER vector of length N, and the INTEGER LWORK is the length of array WKSPCE, which must be at least max(1,N) . In the replacement calls, F07ADF (DGETRF) computes the LU  factorization of the matrix A , F06QFF copies the factorization from A to X, and F07AJF (DGETRI) overwrites X by the inverse of A . If the original matrix A  is no longer required, the call to F06QFF is not necessary, and references to X and IX in the call of F07AJF (DGETRI) may be replaced by references to A and IA, in which case A will be overwritten by the inverse.

F01ACF

Withdrawn at Mark 16.
Replaced by F01ABF. 
Old: CALL F01ACF(N,EPS,A,IA,B,IB,Z,L,IFAIL)
New: CALL F01ABF(A,IA,N,B,IB,Z,IFAIL)
The number of iterative refinement corrections returned by F01ACF in L is no longer available. The parameter EPS is no longer required.

F01AEF

Withdrawn at Mark 18.
Replaced by F06EGF (DSWAP), F07FDF (DPOTRF) and F08SEF (DSYGST). 
Old: CALL F01AEF(N,A,IA,B,IB,DL,IFAIL)
New: DO 20 J = 1, N
        DO 10 I = J, N
           A(I,J) = A(J,I)
           B(I,J) = B(J,I)
  10 CONTINUE
        DL(J) = B(J,J)
  20 CONTINUE
     CALL spotrf('L',N,B,IB,INFO)
     IF (INFO.EQ.0) THEN
        CALL ssygst(1,'L',N,A,IA,B,IB,INFO)
     ELSE
        IFAIL = 1
     END IF
     CALL sswap(N,DL,1,B,IB+1)
IFAIL is set to 1 if the matrix B  is not positive-definite. It is essential to test IFAIL.

F01AFF

Withdrawn at Mark 18.
Replaced by F06EGF (DSWAP) and F06YJF (DTRSM). 
Old: CALL F01AFF(N,M1,M2,B,IB,DL,Z,IZ)
New: CALL sswap(N,DL,1,B,IB+1)
     CALL strsm('L','L','T','N',N,M2-M1+1,1.0D0,B,IB,Z(1,M1),IZ)
     CALL sswap(N,DL,1,B,IB+1)

F01AGF

Withdrawn at Mark 18.
Replaced by F08FEF (DSYTRD). 
Old: CALL F01AGF(N,TOL,A,IA,D,E,E2)
New: CALL ssytrd('L',N,A,IA,D,E(2),TAU,WORK,LWORK,INFO)
     E(1) = 0.0D0
     DO 10 I = 1, N
        E2(I) = E(I)*E(I)
  10 CONTINUE
where TAU is a double precision array of length at least (N-1) , WORK is a real array of length at least (1) and LWORK is its actual length.
Note that the tridiagonal matrix computed by F08FEF (DSYTRD) is different from that computed by F01AGF, but it has the same eigenvalues.

F01AHF

Withdrawn at Mark 18.
Replaced by F08FGF (DORMTR).
The following replacement is valid only if the previous call to F01AGF has been replaced by a call to F08FEF (DSYTRD) as shown above. 
Old: CALL F01AHF(N,M1,M2,A,IA,E,Z,IZ)
New: CALL sormtr('L','L','N',N,M2-M1+1,A,IA,TAU,Z(1,M1),IZ,WORK,
    +            LWORK,INFO)
where WORK is a double precision array of length at least (M2-M1+1) , and LWORK is its actual length.

F01AJF

Withdrawn at Mark 18.
Replaced by F08FEF (DSYTRD) and F08FFF (DORGTR). 
Old: CALL F01AJF(N,TOL,A,IA,D,E,Z,IZ)
New: CALL ssytrd('L',N,A,IA,D,E(2),TAU,WORK,LWORK,INFO)
     E(1) = 0.0D0
     CALL F06QFF('L',N,N,A,IA,Z,IZ)
     CALL sorgtr('L',N,Z,IZ,TAU,WORK,LWORK,INFO)
where TAU is a double precision array of length at least (N-1) , WORK is a real array of length at least (N-1)  and LWORK is its actual length.
Note that the tridiagonal matrix T  and the orthogonal matrix Q  computed by F08FEF (DSYTRD) and F08FFF (DORGTR) are different from those computed by F01AJF, but they satisfy the same relation QTAQ=T .

F01AKF

Withdrawn at Mark 18.
Replaced by F08NEF (DGEHRD). 
Old: CALL F01AKF(N,K,L,A,IA,INTGER)
New: CALL sgehrd(N,K,L,A,IA,TAU,WORK,LWORK,INFO)
where TAU is a double precision array of length at least (N-1) , WORK is a real array of length at least (N)  and LWORK is its actual length.
Note that the Hessenberg matrix computed by F08NEF (DGEHRD) is different from that computed by F01AKF, because F08NEF (DGEHRD) uses orthogonal transformations, whereas F01AKF uses stabilized elementary transformations.

F01ALF

Withdrawn at Mark 18.
Replaced by F08NGF (DORMHR).
The following replacement is valid only if the previous call to F01AKF has been replaced by a call to F08NEF (DGEHRD) as indicated above. 
Old: CALL F01ALF(K,L,IR,A,IA,INTGER,Z,IZ,N)
New: CALL sormhr('L','N',N,IR,K,L,A,IA,TAU,Z,IZ,WORK,LWORK,INFO)
where WORK is a double precision array of length at least (IR)  and LWORK is its actual length.

F01AMF

Withdrawn at Mark 18.
Replaced by F08NSF (ZGEHRD). 
Old: CALL F01AMF(N,K,L,AR,IAR,AI,IAI,INTGER)
New: DO 20 J = 1, N
        DO 10 I = 1, N
           A(I,J) = cmplx(AR(I,J),AI(I,J))
  10    CONTINUE
  20 CONTINUE
     CALL cgehrd(N,K,L,A,IA,TAU,WORK,LWORK,INFO)
where A is a complex*16 array of dimension (IA,N) , TAU is a complex*16 array of length at least (N-1) , WORK is a complex*16 array of length at least (N)  and LWORK is its actual length.
Note that the Hessenberg matrix computed by F08NSF (ZGEHRD) is different from that computed by F01AMF, because F08NSF (ZGEHRD) uses orthogonal transformations, whereas F01AMF uses stabilized elementary transformations.

F01ANF

Withdrawn at Mark 18.
Replaced by F08NTF (ZUNGHR).
The following replacement is valid only if the previous call to F01AMF has been replaced by a call to F08NSF (ZGEHRD) as indicated above. 
Old: CALL F01ANF(K,L,IR,AR,IAR,AI,IAI,INTGER,ZR,IZR,ZI,IZI,N)
New: CALL cunhmr('L','N',N,IR,K,L,A,IA,TAU,Z,IZ,WORK,LWORK,INFO)
     DO 20 J = 1, IR
        DO 10 I = 1, N
           ZR(I,J) = real(Z(I,J))
           ZI(I,J) = imag(Z(I,J))
  10    CONTINUE
  20 CONTINUE
where A is a complex*16 array of dimension (IA,N) , TAU is a complex*16 array of length at least (N-1) , Z is a complex*16 array of dimension (IZ,IR) , WORK is a complex*16 array of length at least (IR)  and LWORK is its actual length.

F01APF

Withdrawn at Mark 18.
Replaced by F06QFF and F08NFF (DORGHR).
The following replacement is valid only if the previous call to F01AKF has been replaced by a call to F08NEF (DGEHRD) as indicated above. 
Old: CALL F01APF(N,K,L,INTGER,H,IH,V,IV)
New: CALL F06QFF('L',N,N,H,IH,V,IV)
     CALL sorghr(N,K,L,V,IV,TAU,WORK,LWORK,INFO)
where WORK is a double precision array of length at least (N) , and LWORK is its actual length.
Note that the orthogonal matrix formed by F08NFF (DORGHR) is not the same as the non-orthogonal matrix formed by F01APF. See F01AKF above.

F01ATF

Withdrawn at Mark 18.
Replaced by F08NHF (DGEBAL). 
Old: CALL F01ATF(N,IB,A,IA,K,L,D)
New: CALL sgebal('B',N,A,IA,K,L,D,INFO)
Note that the balanced matrix returned by F08NHF (DGEBAL) may be different from that returned by F01ATF.

F01AUF

Withdrawn at Mark 18.
Replaced by F08NJF (DGEBAK). 
Old: CALL F01AUF(N,K,L,M,D,Z,IZ)
New: CALL sgebak('B','R',N,K,L,D,M,Z,IZ,INFO)

F01AVF

Withdrawn at Mark 18.
Replaced by F08NVF (ZGEBAL). 
Old: CALL F01AVF(N,IB,AR,IAR,AI,IAI,K,L,D)
New: DO 20 J = 1, N
        DO 10 I = 1, N
           A(I,J) = cmplx(AR(I,J),AI(I,J))
  10    CONTINUE
  20 CONTINUE
     CALL cgebal('B',N,A,IA,K,L,D,INFO)
     DO 20 J = 1, N
        DO 10 I = 1, N
           AR(I,J) = real(A(I,J))
           AI(I,J) = imag(A(I,J))
  10    CONTINUE
  20 CONTINUE
where A is a complex*16 array of dimension (IA,N) .
Note that the balanced matrix returned by F08NVF (ZGEBAL) may be different from that returned by F01AVF.

F01AWF

Withdrawn at Mark 18.
Replaced by F08NWF (ZGEBAK). 
Old: CALL F01AWF(N,K,L,M,D,ZR,IZR,ZI,IZI)
New: DO 20 J = 1, M
        DO 10 I = 1, N
           Z(I,J) = cmplx(ZR(I,J),ZI(I,J))
  10    CONTINUE
  20 CONTINUE
     CALL cgebak('B','R',N,K,L,D,M,Z,IZ,INFO)
     DO 40 J = 1, M
        DO 30 I = 1, N
           ZR(I,J) = real(Z(I,J))
           ZI(I,J) = imag(Z(I,J))
 30     CONTINUE
 40  CONTINUE
where Z is a complex*16 array of dimension (IZ,M) .

F01AXF

Withdrawn at Mark 18.
Replaced by F08BEF (DGEQPF) and F06EFF (DCOPY). 
Old: CALL F01AXF(M,N,QR,IQR,ALPHA,IPIV,Y,E,IFAIL)
New: CALL sgeqpf(M,N,QR,IQR,IPIV,Y,WORK,INFO)
     CALL scopy(N,QR,IQR+1,ALPHA,1)
where WORK is a double precision array of length at least (3×N) .
Note that the details of the Householder matrices returned by F08BEF (DGEQPF) are different from those returned by F01AXF, but they determine the same orthogonal matrix Q .

F01AYF

Withdrawn at Mark 18.
Replaced by F08GEF (DSPTRD). 
Old: CALL F01AYF(N,TOL,A,IA,D,E,E2)
New: CALL ssptrd('U',N,A,D,E(2),TAU,INFO)
     E(1) = 0.0D0
     DO 10 I = 1, N
        E2(I) = E(I)*E(I)
  10 CONTINUE
where TAU is a double precision array of length at least (N-1) .

F01AZF

Withdrawn at Mark 18.
Replaced by F08GGF (DOPMTR).
The following replacement is valid only if the previous call to F01AYF has been replaced by a call to F08GEF (DSPTRD) as shown above. 
Old: CALL F01AZF(N,M1,M2,A,IA,Z,IZ)
New: CALL sopmtr('L','U','N',N,M2-M1+1,A,TAU,Z(1,M1),IZ,WORK,INFO)
where WORK is a double precision array of length at least (M2-M1+1) .

F01BCF

Withdrawn at Mark 18.
Replaced by F08FSF (ZHETRD) and F08FTF (ZUNGTR). 
Old: CALL F01BCF(N,TOL,AR,IAR,AI,IAI,D,E,WK1,WK2)
New: DO 20 J = 1, N
        DO 10 I = 1, N
           A(I,J) = cmplx(AR(I,J),AI(I,J))
  10    CONTINUE
  20 CONTINUE
     CALL chetrd('L',N,A,IA,D,E(2),TAU,WORK,LWORK,INFO)
     E(1) = 0.0D0
     CALL cungtr('L',N,A,IA,TAU,WORK,LWORK,INFO)
     DO 40 J = 1, N
        DO 30 I = 1, N
           AR(I,J) = real(A(I,J))
           AI(I,J) = imag(A(I,J))
 30     CONTINUE
 40  CONTINUE
where A is a complex*16 array of dimension (IA,N) , TAU is a complex*16 array of length at least (N-1) , WORK is a complex*16 array of length at least (N-1) , and LWORK is its actual length.
Note that the tridiagonal matrix T  and the unitary matrix Q  computed by F08FSF (ZHETRD) and F08FTF (ZUNGTR) are different from those computed by F01BCF, but they satisfy the same relation QHAQ=T .

F01BDF

Withdrawn at Mark 18.
Replaced by F06EGF (DSWAP), F07FDF (DPOTRF) and F08SEF (DSYGST). 
Old: CALL F01BDF(N,A,IA,B,IB,DL,IFAIL)
New: DO 20 J = 1, N
        DO 10 I = J, N
           A(I,J) = A(J,I)
           B(I,J) = B(J,I)
  10    CONTINUE
        DL(J) = B(J,J)
  20 CONTINUE
     CALL spotrf('L',N,B,IB,INFO)
     IF (INFO.EQ.0) THEN
        CALL ssygst(2,'L',N,A,IA,B,IB,INFO)
     ELSE
        IFAIL = 1
     END IF
     CALL sswap(N,DL,1,B,IB+1)
IFAIL is set to 1 if the matrix B is not positive-definite. It is essential to test IFAIL.

F01BEF

Withdrawn at Mark 18.
Replaced by F06YFF (DTRMM). 
Old: CALL F01BEF(N,M1,M2,B,IB,DL,V,IV)
New: CALL sswap(N,DL,1,B,IB+1)
     CALL strmm('L','L','N','N',N,M2-M1+1,1.0D0,B,IB,V(1,M1),IV)
     CALL sswap(N,DL,1,B,IB+1)

F01BFF

Withdrawn at Mark 8.
Replaced by F07GDF (DPPTRF) or F07PDF (DSPTRF).

F01BHF

Withdrawn at Mark 9.
Replaced by F02WEF.

F01BJF

Withdrawn at Mark 9.
Replaced by F08HEF (DSBTRD).

F01BKF

Withdrawn at Mark 9.
Replaced by F02WDF.

F01BMF

Withdrawn at Mark 9.
Replaced by F07BDF (DGBTRF).

F01BNF

Withdrawn at Mark 17.
Replaced by F07FRF (ZPOTRF). 
Old: CALL F01BNF(N,A,IA,P,IFAIL)
New: CALL cpotrf('Upper',N,A,IA,IFAIL)
where, before the call, array A contains the upper triangle of the matrix to be factorized rather than the lower triangle (note that the elements of the upper triangle are the complex conjugates of the elements of the lower triangle). The double precision array P is no longer required; the upper triangle of A is overwritten by the upper triangular factor U , including the diagonal elements (which are not reciprocated).

F01BPF

Withdrawn at Mark 17.
Replaced by F07FRF (ZPOTRF) and F07FWF (ZPOTRI). 
Old: CALL F01BPF(N,A,IA,V,IFAIL)
New: CALL cpotrf('Upper',N,A,IA,IFAIL)
     CALL cpotri('Upper',N,A,IA,IFAIL)
where, before the calls, the upper triangle of the matrix to be inverted must be contained in rows 1 to N of A, rather than the lower triangle being in rows 2 to N+1  (note that the elements of the upper triangle are the complex conjugates of the elements of the lower triangle). The workspace vector V is no longer required.

F01BQF

Withdrawn at Mark 16.
Replaced by F07GDF (DPPTRF) or F07PDF (DSPTRF).
The replacement routines do not have exactly the same functionality as F01BQF; if this functionality is genuinely required, please contact NAG.
  1. where the symmetric matrix is known to be positive-definite (if the matrix is in fact not positive-definite, the replacement routine will return a positive value in IFAIL) 
    Old: CALL F01BQF(N,EPS,RL,IRL,D,IFAIL)
New: CALL spptrf('Lower',N,RL,IFAIL)
  2. where the matrix is not positive-definite (the replacement routine forms an LDLT  factorization where D  is block diagonal, rather than a Cholesky factorization) 
    Old: CALL F01BQF(N,EPS,RL,IRL,D,IFAIL)
New: CALL ssptrf('Lower',N,RL,IPIV,IFAIL)
For the replacement calls in both (a) and (b), the array RL must now hold the complete lower triangle of the symmetric matrix, including the diagonal elements, which are no longer required to be stored in the redundant array D. The declared dimension of RL must be increased from at least N(N-1) /2  to at least N(N+1) /2 . It is important to note that for the calls of F07GDF (DPPTRF) and F07PDF (DSPTRF), the lower triangle of the matrix must be stored packed by column instead of by row. The dimension parameter IRL is no longer required. For the call of F07PDF (DSPTRF), the INTEGER array IPIV of length N must be supplied.

F01BTF

Withdrawn at Mark 18.
Replaced by F07ADF (DGETRF). 
Old: CALL F01BTF(N,A,IA,P,DP,IFAIL)
New: CALL sgetrf(N,N,A,IA,IPIV,IFAIL)
where IPIV is an INTEGER array of length N which holds the indices of the pivot elements, and the array P is no longer required. It may be important to note that after a call of F07ADF (DGETRF), A is overwritten by the upper triangular factor U  and the off-diagonal elements of the unit lower triangular factor L , whereas the factorization returned by F01BTF gives U  the unit diagonal. The permutation determinant DP returned by F01BTF is not computed by F07ADF (DGETRF). If this value is required, it may be calculated after a call of F07ADF (DGETRF) by code similar to the following: 
DP = 1.0D0
   DO 10 I = 1, N
      IF (I.NE.IPIV(I)) DP = -DP
10 CONTINUE

F01BWF

Withdrawn at Mark 18.
Replaced by F08HEF (DSBTRD). 
Old: CALL F01BWF(N,M1,A,IA,D,E)
New: CALL ssbtrd('N','U',N,M1-1,A,IA,D,E(2),Q,1,WORK,INFO)
     E(1) = 0.0D0
where Q is a dummy double precision array of length (1) (not used in this call), and WORK is a double precision array of length at least (N) .
Note that the tridiagonal matrix computed by F08HEF (DSBTRD) is different from that computed by F01BWF, but it has the same eigenvalues.

F01BXF

Withdrawn at Mark 17.
Replaced by F07FDF (DPOTRF). 
Old: CALL F01BXF(N,A,IA,P,IFAIL)
New: CALL spotrf('Upper',N,A,IA,IFAIL)
where, before the call, array A contains the upper triangle of the matrix to be factorized rather than the lower triangle. The array P is no longer required; the upper triangle of A is overwritten by the upper triangular factor U , including the diagonal elements (which are not reciprocated).

F01CAF

Withdrawn at Mark 14.
Replaced by F06QHF. 
Old: CALL F01CAF(A,M,N,IFAIL)
New: CALL F06QHF('General',M,N,0.0D0,0.0D0,A,M)

F01CBF

Withdrawn at Mark 14.
Replaced by F06QHF. 
Old: CALL F01CBF(A,M,N,IFAIL)
New: CALL F06QHF('General',M,N,0.0D0,1.0D0,A,M)

F01CCF

Withdrawn at Mark 7.
Replaced by F06QFF.

F01CDF

Withdrawn at Mark 15.
Replaced by F01CTF. 
Old: CALL F01CDF(A,B,C,M,N,IFAIL)
New: CALL F01CTF('N','N',M,N,1.0D0,B,M,1.0D0,C,M,A,M,IFAIL)

F01CEF

Withdrawn at Mark 15.
Replaced by F01CTF. 
Old: CALL F01CEF(A,B,C,M,N,IFAIL)
New: CALL F01CTF('N','N',M,N,1.0D0,B,M,-1.0D0,C,M,A,M,IFAIL)

F01CFF

Withdrawn at Mark 14.
Replaced by F06QFF. 
Old: CALL F01CFF(A,MA,NA,P,Q,B,MB,NB,M1,M2,N1,N2,IFAIL)
New: CALL F06QFF('General',M2-M1+1,N2-N1+1,B(M1,N1),MB,A(P,Q),MA)

F01CGF

Withdrawn at Mark 15.
Replaced by F01CTF. 
Old: CALL F01CGF(A,MA,NA,P,Q,B,MB,NB,M1,M2,N1,N2,IFAIL)
New: CALL F01CTF('N','N',M2-M1+1,N2-N1+1,1.0D0,A(P,Q),MA,1.0D0,
    +            B(M1,N1),MB,A(P,Q),MA,IFAIL)

F01CHF

Withdrawn at Mark 15.
Replaced by F01CTF. 
Old: CALL F01CHF(A,MA,NA,P,Q,B,MB,NB,M1,M2,N1,N2,IFAIL)
New: CALL F01CTF('N','N',M2-M1+1,N2-N1+1,1.0D0,A(P,Q),MA,-1.0D0,
    +            B(M1,N1),MB,A(P,Q),MA,IFAIL)

F01CJF

Withdrawn at Mark 8.
Replaced by F01CRF.

F01CLF

Withdrawn at Mark 16.
Replaced by F06YAF (DGEMM).