.TH "TESTING/LIN/srqt01.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
TESTING/LIN/srqt01.f
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "subroutine \fBsrqt01\fP (m, n, a, af, q, r, lda, tau, work, lwork, rwork, result)"
.br
.RI "\fBSRQT01\fP "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine srqt01 (integer m, integer n, real, dimension( lda, * ) a, real, dimension( lda, * ) af, real, dimension( lda, * ) q, real, dimension( lda, * ) r, integer lda, real, dimension( * ) tau, real, dimension( lwork ) work, integer lwork, real, dimension( * ) rwork, real, dimension( * ) result)"

.PP
\fBSRQT01\fP 
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
 SRQT01 tests SGERQF, which computes the RQ factorization of an m-by-n
 matrix A, and partially tests SORGRQ which forms the n-by-n
 orthogonal matrix Q\&.

 SRQT01 compares R with A*Q', and checks that Q is orthogonal\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIM\fP 
.PP
.nf
          M is INTEGER
          The number of rows of the matrix A\&.  M >= 0\&.
.fi
.PP
.br
\fIN\fP 
.PP
.nf
          N is INTEGER
          The number of columns of the matrix A\&.  N >= 0\&.
.fi
.PP
.br
\fIA\fP 
.PP
.nf
          A is REAL array, dimension (LDA,N)
          The m-by-n matrix A\&.
.fi
.PP
.br
\fIAF\fP 
.PP
.nf
          AF is REAL array, dimension (LDA,N)
          Details of the RQ factorization of A, as returned by SGERQF\&.
          See SGERQF for further details\&.
.fi
.PP
.br
\fIQ\fP 
.PP
.nf
          Q is REAL array, dimension (LDA,N)
          The n-by-n orthogonal matrix Q\&.
.fi
.PP
.br
\fIR\fP 
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.nf
          R is REAL array, dimension (LDA,max(M,N))
.fi
.PP
.br
\fILDA\fP 
.PP
.nf
          LDA is INTEGER
          The leading dimension of the arrays A, AF, Q and L\&.
          LDA >= max(M,N)\&.
.fi
.PP
.br
\fITAU\fP 
.PP
.nf
          TAU is REAL array, dimension (min(M,N))
          The scalar factors of the elementary reflectors, as returned
          by SGERQF\&.
.fi
.PP
.br
\fIWORK\fP 
.PP
.nf
          WORK is REAL array, dimension (LWORK)
.fi
.PP
.br
\fILWORK\fP 
.PP
.nf
          LWORK is INTEGER
          The dimension of the array WORK\&.
.fi
.PP
.br
\fIRWORK\fP 
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.nf
          RWORK is REAL array, dimension (max(M,N))
.fi
.PP
.br
\fIRESULT\fP 
.PP
.nf
          RESULT is REAL array, dimension (2)
          The test ratios:
          RESULT(1) = norm( R - A*Q' ) / ( N * norm(A) * EPS )
          RESULT(2) = norm( I - Q*Q' ) / ( N * 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
.PP

.PP
Definition at line \fB124\fP of file \fBsrqt01\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.