F06PMF (DGER) (PDF version)
F06 Chapter Contents
F06 Chapter Introduction
NAG Library Manual

NAG Library Routine Document

F06PMF (DGER)

Note:  before using this routine, please read the Users' Note for your implementation to check the interpretation of bold italicised terms and other implementation-dependent details.

 Contents

    1  Purpose
    7  Accuracy
    10  Example

1  Purpose

F06PMF (DGER) computes the rank-1 update of a real general matrix.

2  Specification

SUBROUTINE F06PMF ( M, N, ALPHA, X, INCX, Y, INCY, A, LDA)
INTEGER  M, N, INCX, INCY, LDA
REAL (KIND=nag_wp)  ALPHA, X(*), Y(*), A(LDA,*)
The routine may be called by its BLAS name dger.

3  Description

F06PMF (DGER) performs the rank-1 update operation
AαxyT + A ,  
where A is an m by n real matrix, x is an m element real vector, y is an n-element real vector, and α is a real scalar.

4  References

None.

5  Parameters

1:     M – INTEGERInput
On entry: m, the number of rows of the matrix A.
Constraint: M0.
2:     N – INTEGERInput
On entry: n, the number of columns of the matrix A.
Constraint: N0.
3:     ALPHA – REAL (KIND=nag_wp)Input
On entry: the scalar α.
4:     X* – REAL (KIND=nag_wp) arrayInput
Note: the dimension of the array X must be at least max1, 1+M-1 ×INCX .
On entry: the m element vector x.
If INCX>0, xi must be stored in X1+i-1×INCX, for i=1,2,,M.
If INCX<0, xi must be stored in X1-M-i×INCX, for i=1,2,,M.
Intermediate elements of X are not referenced.
5:     INCX – INTEGERInput
On entry: the increment in the subscripts of X between successive elements of x.
Constraint: INCX0.
6:     Y* – REAL (KIND=nag_wp) arrayInput
Note: the dimension of the array Y must be at least max1, 1+N-1 ×INCY .
On entry: the n-element vector y.
If INCY>0, yi must be stored in Y1+i-1×INCY, for i=1,2,,N.
If INCY<0, yi must be stored in Y1-N-i×INCY, for i=1,2,,N.
Intermediate elements of Y are not referenced.
7:     INCY – INTEGERInput
On entry: the increment in the subscripts of Y between successive elements of y.
Constraint: INCY0.
8:     ALDA* – REAL (KIND=nag_wp) arrayInput/Output
Note: the second dimension of the array A must be at least N.
On entry: the m by n matrix A.
On exit: the updated matrix A.
9:     LDA – INTEGERInput
On entry: the first dimension of the array A as declared in the (sub)program from which F06PMF (DGER) is called.
Constraint: LDA max1,M .

6  Error Indicators and Warnings

None.

7  Accuracy

Not applicable.

8  Parallelism and Performance

Not applicable.

9  Further Comments

None.

10  Example

None.

F06PMF (DGER) (PDF version)
F06 Chapter Contents
F06 Chapter Introduction
NAG Library Manual

© The Numerical Algorithms Group Ltd, Oxford, UK. 2015