NAG Library Manual, Mark 28.6
Interfaces:  FL   CL   CPP   AD 

NAG FL Interface Introduction
Example description

 E04UHF Example Program Results
 
 
 Calls to e04uj
 ---------------
 
       Verify Level = -1
       Major Iteration Limit = 25
       Infinite Bound Size = 1.0D+25
 
 
 OPTIONS file
 ------------
 
      Begin * Example options file for E04UHF
         Check Frequency = 25   * (Default = 60 )
         Crash Tolerance = 0.05 * (Default = 0.1)
      End
 
 *** e04ug
 
 Parameters
 ----------
 
 Frequencies.
 Check frequency.........        25       Expand frequency.......     10000
 Factorization frequency.       100
 
 QP subproblems.
 Scale tolerance.........  9.00E-01       Minor feasibility tol..  1.05E-08
 Scale option............         2       Minor optimality tol...  1.05E-08
 Partial price...........        10       Crash tolerance........  5.00E-02
 Pivot tolerance.........  2.04E-11       Minor print level......         0
 Crash option............         3       Elastic weight.........  1.00E+00
 
 The SQP method.
 Minimize................
 Nonlinear objective vars         5       Major optimality tol...  1.05E-08
 Function precision......  1.72E-13       Unbounded step size....  1.00E+20
 Superbasics limit.......         5       Forward difference int.  4.15E-07
 Unbounded objective.....  1.00E+15       Central difference int.  5.56E-05
 Major step limit........  2.00E+00       Derivative linesearch..
 Derivative level........         3       Major iteration limit..        25
 Linesearch tolerance....  9.00E-01       Verify level...........        -1
 Minor iteration limit...       500       Major print level......        10
 Infinite bound size.....  1.00E+25       Iteration limit........     10000
 
 Hessian approximation.
 Hessian full memory.....                 Hessian updates........  99999999
 Hessian frequency.......  99999999
 
 Nonlinear constraints.
 Nonlinear constraints...         0       Nonlinear Jacobian vars         0
 
 Miscellaneous.
 Variables...............         5       Linear constraints.....         1
 Nonlinear variables.....         5       Linear variables.......         0
 LU factor tolerance.....  1.00E+02       LU singularity tol.....  2.04E-11
 LU update tolerance.....  1.00E+01       LU density tolerance...  6.00E-01
 eps (machine precision).  1.11E-16       Monitoring file........        -1
 COLD start..............                 Infeasible exit........
 
 Workspace provided is                 IZ(    1132),  Z(    1340).
 To start solving the problem we need  IZ(     566),  Z(     670).
 
 Itn      0 -- Partial price reduced from               10 to                1.
 
 Itn      0 -- Feasible linear rows.
 
 Itn      0 -- Norm(x-x0) minimized. Sum of infeasibilities = 0.00E+00.
 
 objfun  sets       5   out of       5   objective  gradients.
 
 
  Maj  Mnr    Step      Objective Optimal Cond Hz PD
    0    3 0.0E+00   1.866667E+00 3.3E-02 1.0E+00 TF  R
    1    2 1.5E+01   1.550000E+00 7.5E-02 1.0E+00 TF n
    2    2 6.7E+00   1.200000E+00 1.0E-01 1.0E+00 TF n
    3    1 5.0E+00   1.000000E+00 0.0E+00 1.0E+00 TT n
 
 Exit from NP problem after     3 major iterations,
                                8 minor iterations.
 
 Variable State     Value       Lower Bound  Upper Bound   Lagr Mult  Residual
 
 Varble 1    UL    1.00000           .        1.0000      -1.000         .
 Varble 2    UL    2.00000           .        2.0000     -0.5000         .
 Varble 3    UL    3.00000           .        3.0000     -0.3333         .
 Varble 4    UL    4.00000           .        4.0000     -0.2500         .
 Varble 5    UL    5.00000           .        5.0000     -0.2000         .
 
 Constrnt State     Value       Lower Bound  Upper Bound   Lagr Mult  Residual
 
 DummyRow    BS    0.00000          None         None     -1.000         .
 
 Exit e04ug  - Optimal solution found.
 
 Final objective value =     1.000000