table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/cqrt16.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/cqrt16.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/cqrt16.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine CQRT16 (trans, m, n, nrhs, a, lda, x, ldx, b,
ldb, rwork, resid)
CQRT16
Function/Subroutine Documentation¶
subroutine CQRT16 (character trans, integer m, integer n, integer nrhs, complex, dimension( lda, * ) a, integer lda, complex, dimension( ldx, * ) x, integer ldx, complex, dimension( ldb, * ) b, integer ldb, real, dimension( * ) rwork, real resid)¶
CQRT16
Purpose:
!> !> CQRT16 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. !>
Parameters
TRANS
!> TRANS is 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
!> M is INTEGER !> The number of rows of the matrix A. M >= 0. !>
N
!> N is INTEGER !> The number of columns of the matrix A. N >= 0. !>
NRHS
!> NRHS is INTEGER !> The number of columns of B, the matrix of right hand sides. !> NRHS >= 0. !>
A
!> A is COMPLEX array, dimension (LDA,N) !> The original M x N matrix A. !>
LDA
!> LDA is INTEGER !> The leading dimension of the array A. LDA >= max(1,M). !>
X
!> X is COMPLEX array, dimension (LDX,NRHS) !> The computed solution vectors for the system of linear !> equations. !>
LDX
!> LDX is 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
!> B is COMPLEX 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
!> LDB is 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
!> RWORK is REAL array, dimension (M) !>
RESID
!> RESID is REAL !> The maximum over the number of right hand sides of !> norm(B - A*X) / ( max(m,n) * norm(A) * norm(X) * EPS ). !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 131 of file cqrt16.f.
Author¶
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