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/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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Version 3.12.0 LAPACK