.TH "TESTING/LIN/zqlt01.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
TESTING/LIN/zqlt01.f
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "subroutine \fBzqlt01\fP (m, n, a, af, q, l, lda, tau, work, lwork, rwork, result)"
.br
.RI "\fBZQLT01\fP "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine zqlt01 (integer m, integer n, complex*16, dimension( lda, * ) a, complex*16, dimension( lda, * ) af, complex*16, dimension( lda, * ) q, complex*16, dimension( lda, * ) l, integer lda, complex*16, dimension( * ) tau, complex*16, dimension( lwork ) work, integer lwork, double precision, dimension( * ) rwork, double precision, dimension( * ) result)"

.PP
\fBZQLT01\fP 
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\fBPurpose:\fP
.RS 4

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.nf
!>
!> ZQLT01 tests ZGEQLF, which computes the QL factorization of an m-by-n
!> matrix A, and partially tests ZUNGQL which forms the m-by-m
!> orthogonal matrix Q\&.
!>
!> ZQLT01 compares L with Q'*A, and checks that Q is orthogonal\&.
!> 
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIM\fP 
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.nf
!>          M is INTEGER
!>          The number of rows of the matrix A\&.  M >= 0\&.
!> 
.fi
.PP
.br
\fIN\fP 
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.nf
!>          N is INTEGER
!>          The number of columns of the matrix A\&.  N >= 0\&.
!> 
.fi
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.br
\fIA\fP 
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.nf
!>          A is COMPLEX*16 array, dimension (LDA,N)
!>          The m-by-n matrix A\&.
!> 
.fi
.PP
.br
\fIAF\fP 
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.nf
!>          AF is COMPLEX*16 array, dimension (LDA,N)
!>          Details of the QL factorization of A, as returned by ZGEQLF\&.
!>          See ZGEQLF for further details\&.
!> 
.fi
.PP
.br
\fIQ\fP 
.PP
.nf
!>          Q is COMPLEX*16 array, dimension (LDA,M)
!>          The m-by-m orthogonal matrix Q\&.
!> 
.fi
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.br
\fIL\fP 
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!>          L is COMPLEX*16 array, dimension (LDA,max(M,N))
!> 
.fi
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.br
\fILDA\fP 
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.nf
!>          LDA is INTEGER
!>          The leading dimension of the arrays A, AF, Q and R\&.
!>          LDA >= max(M,N)\&.
!> 
.fi
.PP
.br
\fITAU\fP 
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.nf
!>          TAU is COMPLEX*16 array, dimension (min(M,N))
!>          The scalar factors of the elementary reflectors, as returned
!>          by ZGEQLF\&.
!> 
.fi
.PP
.br
\fIWORK\fP 
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.nf
!>          WORK is COMPLEX*16 array, dimension (LWORK)
!> 
.fi
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.br
\fILWORK\fP 
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.nf
!>          LWORK is INTEGER
!>          The dimension of the array WORK\&.
!> 
.fi
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\fIRWORK\fP 
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!>          RWORK is DOUBLE PRECISION array, dimension (M)
!> 
.fi
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\fIRESULT\fP 
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!>          RESULT is DOUBLE PRECISION array, dimension (2)
!>          The test ratios:
!>          RESULT(1) = norm( L - Q'*A ) / ( M * norm(A) * EPS )
!>          RESULT(2) = norm( I - Q'*Q ) / ( M * EPS )
!> 
.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
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.PP
Definition at line \fB124\fP of file \fBzqlt01\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.