.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)"
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.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 
.PP
\fBPurpose:\fP
.RS 4

.PP
.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 
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.nf
          M is INTEGER
          The number of rows of the matrices A and AF\&.
.fi
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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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\fIK\fP 
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          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
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\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
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\fILDA\fP 
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          LDA is INTEGER
          The leading dimension of the arrays A and AF\&.
.fi
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\fITAU\fP 
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          TAU is REAL array, dimension (K)
          Details of the Householder transformations as returned by
          SGEQPF\&.
.fi
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\fIJPVT\fP 
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          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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\fILWORK\fP 
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          LWORK is INTEGER
          The length of the array WORK\&.  LWORK >= M*N+N\&.
.fi
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.RE
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\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 
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Univ\&. of California Berkeley 
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Univ\&. of Colorado Denver 
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NAG Ltd\&. 
.RE
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.PP
Definition at line \fB119\fP of file \fBsqpt01\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.