.TH "TESTING/LIN/cqrt14.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
TESTING/LIN/cqrt14.f
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "real function \fBcqrt14\fP (trans, m, n, nrhs, a, lda, x, ldx, work, lwork)"
.br
.RI "\fBCQRT14\fP "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "real function cqrt14 (character trans, integer m, integer n, integer nrhs, complex, dimension( lda, * ) a, integer lda, complex, dimension( ldx, * ) x, integer ldx, complex, dimension( lwork ) work, integer lwork)"

.PP
\fBCQRT14\fP 
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
!>
!> CQRT14 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\&.
!> 
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fITRANS\fP 
.PP
.nf
!>          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'\&.
!> 
.fi
.PP
.br
\fIM\fP 
.PP
.nf
!>          M is INTEGER
!>          The number of rows of the matrix A\&.
!> 
.fi
.PP
.br
\fIN\fP 
.PP
.nf
!>          N is INTEGER
!>          The number of columns of the matrix A\&.
!> 
.fi
.PP
.br
\fINRHS\fP 
.PP
.nf
!>          NRHS is INTEGER
!>          The number of right hand sides, i\&.e\&., the number of columns
!>          of X\&.
!> 
.fi
.PP
.br
\fIA\fP 
.PP
.nf
!>          A is COMPLEX array, dimension (LDA,N)
!>          The M-by-N matrix A\&.
!> 
.fi
.PP
.br
\fILDA\fP 
.PP
.nf
!>          LDA is INTEGER
!>          The leading dimension of the array A\&.
!> 
.fi
.PP
.br
\fIX\fP 
.PP
.nf
!>          X is COMPLEX array, dimension (LDX,NRHS)
!>          If TRANS = 'N', the N-by-NRHS matrix X\&.
!>          IF TRANS = 'C', the M-by-NRHS matrix X\&.
!> 
.fi
.PP
.br
\fILDX\fP 
.PP
.nf
!>          LDX is INTEGER
!>          The leading dimension of the array X\&.
!> 
.fi
.PP
.br
\fIWORK\fP 
.PP
.nf
!>          WORK is COMPLEX array dimension (LWORK)
!> 
.fi
.PP
.br
\fILWORK\fP 
.PP
.nf
!>          LWORK is INTEGER
!>          length of workspace array required
!>          If TRANS = 'N', LWORK >= (M+NRHS)*(N+2);
!>          if TRANS = 'C', LWORK >= (N+NRHS)*(M+2)\&.
!> 
.fi
.PP
 
.RE
.PP
\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 

.PP
Univ\&. of California Berkeley 

.PP
Univ\&. of Colorado Denver 

.PP
NAG Ltd\&. 
.RE
.PP

.PP
Definition at line \fB114\fP of file \fBcqrt14\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.