.TH "TESTING/LIN/sqpt01.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
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.SH NAME
TESTING/LIN/sqpt01.f
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "real function \fBsqpt01\fP (m, n, k, a, af, lda, tau, jpvt, work, lwork)"
.br
.RI "\fBSQPT01\fP "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "real function sqpt01 (integer m, integer n, integer k, real, dimension( lda, * ) a, real, dimension( lda, * ) af, integer lda, real, dimension( * ) tau, integer, dimension( * ) jpvt, real, dimension( lwork ) work, integer lwork)"

.PP
\fBSQPT01\fP 
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\fBPurpose:\fP
.RS 4

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.nf
!>
!> SQPT01 tests the QR-factorization with pivoting of a matrix A\&.  The
!> array AF contains the (possibly partial) QR-factorization of A, where
!> the upper triangle of AF(1:k,1:k) is a partial triangular factor,
!> the entries below the diagonal in the first k columns are the
!> Householder vectors, and the rest of AF contains a partially updated
!> matrix\&.
!>
!> This function returns ||A*P - Q*R|| / ( ||norm(A)||*eps*max(M,N) )
!> where || \&. || is matrix one norm\&.
!> 
.fi
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.RE
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\fBParameters\fP
.RS 4
\fIM\fP 
.PP
.nf
!>          M is INTEGER
!>          The number of rows of the matrices A and AF\&.
!> 
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.br
\fIN\fP 
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!>          N is INTEGER
!>          The number of columns of the matrices A and AF\&.
!> 
.fi
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.br
\fIK\fP 
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.nf
!>          K is INTEGER
!>          The number of columns of AF that have been reduced
!>          to upper triangular form\&.
!> 
.fi
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\fIA\fP 
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!>          A is REAL array, dimension (LDA, N)
!>          The original matrix A\&.
!> 
.fi
.PP
.br
\fIAF\fP 
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.nf
!>          AF is REAL array, dimension (LDA,N)
!>          The (possibly partial) output of SGEQPF\&.  The upper triangle
!>          of AF(1:k,1:k) is a partial triangular factor, the entries
!>          below the diagonal in the first k columns are the Householder
!>          vectors, and the rest of AF contains a partially updated
!>          matrix\&.
!> 
.fi
.PP
.br
\fILDA\fP 
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.nf
!>          LDA is INTEGER
!>          The leading dimension of the arrays A and AF\&.
!> 
.fi
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.br
\fITAU\fP 
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.nf
!>          TAU is REAL array, dimension (K)
!>          Details of the Householder transformations as returned by
!>          SGEQPF\&.
!> 
.fi
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.br
\fIJPVT\fP 
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.nf
!>          JPVT is INTEGER array, dimension (N)
!>          Pivot information as returned by SGEQPF\&.
!> 
.fi
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\fIWORK\fP 
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!>          WORK is REAL array, dimension (LWORK)
!> 
.fi
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.br
\fILWORK\fP 
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.nf
!>          LWORK is INTEGER
!>          The length of the array WORK\&.  LWORK >= M*N+N\&.
!> 
.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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Definition at line \fB119\fP of file \fBsqpt01\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.