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/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/zqrt14.f(3) Library Functions Manual /home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/zqrt14.f(3)

NAME

/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/zqrt14.f

SYNOPSIS

Functions/Subroutines


double precision function ZQRT14 (trans, m, n, nrhs, a, lda, x, ldx, work, lwork)
ZQRT14

Function/Subroutine Documentation

double precision function ZQRT14 (character trans, integer m, integer n, integer nrhs, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( ldx, * ) x, integer ldx, complex*16, dimension( lwork ) work, integer lwork)

ZQRT14

Purpose:

!>
!> ZQRT14 checks whether X is in the row space of A or A'.  It does so
!> by scaling both X and A such that their norms are in the range
!> [sqrt(eps), 1/sqrt(eps)], then computing a QR factorization of [A,X]
!> (if TRANS = 'C') or an LQ factorization of [A',X]' (if TRANS = 'N'),
!> and returning the norm of the trailing triangle, scaled by
!> MAX(M,N,NRHS)*eps.
!> 

Parameters

TRANS

!>          TRANS is CHARACTER*1
!>          = 'N':  No transpose, check for X in the row space of A
!>          = 'C':  Conjugate transpose, check for X in row space of A'.
!> 

M

!>          M is INTEGER
!>          The number of rows of the matrix A.
!> 

N

!>          N is INTEGER
!>          The number of columns of the matrix A.
!> 

NRHS

!>          NRHS is INTEGER
!>          The number of right hand sides, i.e., the number of columns
!>          of X.
!> 

A

!>          A is COMPLEX*16 array, dimension (LDA,N)
!>          The M-by-N matrix A.
!> 

LDA

!>          LDA is INTEGER
!>          The leading dimension of the array A.
!> 

X

!>          X is COMPLEX*16 array, dimension (LDX,NRHS)
!>          If TRANS = 'N', the N-by-NRHS matrix X.
!>          IF TRANS = 'C', the M-by-NRHS matrix X.
!> 

LDX

!>          LDX is INTEGER
!>          The leading dimension of the array X.
!> 

WORK

!>          WORK is COMPLEX*16 array dimension (LWORK)
!> 

LWORK

!>          LWORK is INTEGER
!>          length of workspace array required
!>          If TRANS = 'N', LWORK >= (M+NRHS)*(N+2);
!>          if TRANS = 'C', LWORK >= (N+NRHS)*(M+2).
!> 

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 114 of file zqrt14.f.

Author

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Version 3.12.0 LAPACK