ZQRT16
Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
November 2006
November 2006
Purpose
ZQRT16 computes the residual for a solution of a system of linear
equations A*x = b or A'*x = b:
RESID = norm(B - A*X) / ( max(m,n) * norm(A) * norm(X) * EPS ),
where EPS is the machine epsilon.
equations A*x = b or A'*x = b:
RESID = norm(B - A*X) / ( max(m,n) * norm(A) * norm(X) * EPS ),
where EPS is the machine epsilon.
Arguments
| TRANS |
(input) CHARACTER*1
Specifies the form of the system of equations:
= 'N': A *x = b = 'T': A^T*x = b, where A^T is the transpose of A = 'C': A^H*x = b, where A^H is the conjugate transpose of A |
| M |
(input) INTEGER
The number of rows of the matrix A. M >= 0.
|
| N |
(input) INTEGER
The number of columns of the matrix A. N >= 0.
|
| NRHS |
(input) INTEGER
The number of columns of B, the matrix of right hand sides.
NRHS >= 0. |
| A |
(input) COMPLEX*16 array, dimension (LDA,N)
The original M x N matrix A.
|
| LDA |
(input) INTEGER
The leading dimension of the array A. LDA >= max(1,M).
|
| X |
(input) COMPLEX*16 array, dimension (LDX,NRHS)
The computed solution vectors for the system of linear
equations. |
| LDX |
(input) INTEGER
The leading dimension of the array X. If TRANS = 'N',
LDX >= max(1,N); if TRANS = 'T' or 'C', LDX >= max(1,M). |
| B |
(input/output) COMPLEX*16 array, dimension (LDB,NRHS)
On entry, the right hand side vectors for the system of
linear equations. On exit, B is overwritten with the difference B - A*X. |
| LDB |
(input) INTEGER
The leading dimension of the array B. IF TRANS = 'N',
LDB >= max(1,M); if TRANS = 'T' or 'C', LDB >= max(1,N). |
| RWORK |
(workspace) DOUBLE PRECISION array, dimension (M)
|
| RESID |
(output) DOUBLE PRECISION
The maximum over the number of right hand sides of
norm(B - A*X) / ( max(m,n) * norm(A) * norm(X) * EPS ). |