.TH "TESTING/LIN/sqrt12.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
TESTING/LIN/sqrt12.f
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "real function \fBsqrt12\fP (m, n, a, lda, s, work, lwork)"
.br
.RI "\fBSQRT12\fP "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "real function sqrt12 (integer m, integer n, real, dimension( lda, * ) a, integer lda, real, dimension( * ) s, real, dimension( lwork ) work, integer lwork)"

.PP
\fBSQRT12\fP 
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
 SQRT12 computes the singular values `svlues' of the upper trapezoid
 of A(1:M,1:N) and returns the ratio

      || svlues - s ||/(||s||*eps*max(M,N))
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\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
\fIA\fP 
.PP
.nf
          A is REAL array, dimension (LDA,N)
          The M-by-N matrix A\&. Only the upper trapezoid is referenced\&.
.fi
.PP
.br
\fILDA\fP 
.PP
.nf
          LDA is INTEGER
          The leading dimension of the array A\&.
.fi
.PP
.br
\fIS\fP 
.PP
.nf
          S is REAL array, dimension (min(M,N))
          The singular values of the matrix A\&.
.fi
.PP
.br
\fIWORK\fP 
.PP
.nf
          WORK is REAL array, dimension (LWORK)
.fi
.PP
.br
\fILWORK\fP 
.PP
.nf
          LWORK is INTEGER
          The length of the array WORK\&. LWORK >= max(M*N + 4*min(M,N) +
          max(M,N), M*N+2*MIN( M, N )+4*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
.PP

.PP
Definition at line \fB88\fP of file \fBsqrt12\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.