.TH "TESTING/EIG/sbdt01.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
TESTING/EIG/sbdt01.f
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "subroutine \fBsbdt01\fP (m, n, kd, a, lda, q, ldq, d, e, pt, ldpt, work, resid)"
.br
.RI "\fBSBDT01\fP "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine sbdt01 (integer m, integer n, integer kd, real, dimension( lda, * ) a, integer lda, real, dimension( ldq, * ) q, integer ldq, real, dimension( * ) d, real, dimension( * ) e, real, dimension( ldpt, * ) pt, integer ldpt, real, dimension( * ) work, real resid)"

.PP
\fBSBDT01\fP 
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
!>
!> SBDT01 reconstructs a general matrix A from its bidiagonal form
!>    A = Q * B * P**T
!> where Q (m by min(m,n)) and P**T (min(m,n) by n) are orthogonal
!> matrices and B is bidiagonal\&.
!>
!> The test ratio to test the reduction is
!>    RESID = norm(A - Q * B * P**T) / ( n * norm(A) * EPS )
!> where EPS is the machine precision\&.
!> 
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIM\fP 
.PP
.nf
!>          M is INTEGER
!>          The number of rows of the matrices A and Q\&.
!> 
.fi
.PP
.br
\fIN\fP 
.PP
.nf
!>          N is INTEGER
!>          The number of columns of the matrices A and P**T\&.
!> 
.fi
.PP
.br
\fIKD\fP 
.PP
.nf
!>          KD is INTEGER
!>          If KD = 0, B is diagonal and the array E is not referenced\&.
!>          If KD = 1, the reduction was performed by xGEBRD; B is upper
!>          bidiagonal if M >= N, and lower bidiagonal if M < N\&.
!>          If KD = -1, the reduction was performed by xGBBRD; B is
!>          always upper bidiagonal\&.
!> 
.fi
.PP
.br
\fIA\fP 
.PP
.nf
!>          A is REAL array, dimension (LDA,N)
!>          The m by n matrix A\&.
!> 
.fi
.PP
.br
\fILDA\fP 
.PP
.nf
!>          LDA is INTEGER
!>          The leading dimension of the array A\&.  LDA >= max(1,M)\&.
!> 
.fi
.PP
.br
\fIQ\fP 
.PP
.nf
!>          Q is REAL array, dimension (LDQ,N)
!>          The m by min(m,n) orthogonal matrix Q in the reduction
!>          A = Q * B * P**T\&.
!> 
.fi
.PP
.br
\fILDQ\fP 
.PP
.nf
!>          LDQ is INTEGER
!>          The leading dimension of the array Q\&.  LDQ >= max(1,M)\&.
!> 
.fi
.PP
.br
\fID\fP 
.PP
.nf
!>          D is REAL array, dimension (min(M,N))
!>          The diagonal elements of the bidiagonal matrix B\&.
!> 
.fi
.PP
.br
\fIE\fP 
.PP
.nf
!>          E is REAL array, dimension (min(M,N)-1)
!>          The superdiagonal elements of the bidiagonal matrix B if
!>          m >= n, or the subdiagonal elements of B if m < n\&.
!> 
.fi
.PP
.br
\fIPT\fP 
.PP
.nf
!>          PT is REAL array, dimension (LDPT,N)
!>          The min(m,n) by n orthogonal matrix P**T in the reduction
!>          A = Q * B * P**T\&.
!> 
.fi
.PP
.br
\fILDPT\fP 
.PP
.nf
!>          LDPT is INTEGER
!>          The leading dimension of the array PT\&.
!>          LDPT >= max(1,min(M,N))\&.
!> 
.fi
.PP
.br
\fIWORK\fP 
.PP
.nf
!>          WORK is REAL array, dimension (M+N)
!> 
.fi
.PP
.br
\fIRESID\fP 
.PP
.nf
!>          RESID is REAL
!>          The test ratio:
!>          norm(A - Q * B * P**T) / ( n * norm(A) * 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 \fB139\fP of file \fBsbdt01\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.