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/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/EIG/zbdt05.f(3) Library Functions Manual /home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/EIG/zbdt05.f(3)

NAME

/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/EIG/zbdt05.f

SYNOPSIS

Functions/Subroutines


subroutine ZBDT05 (m, n, a, lda, s, ns, u, ldu, vt, ldvt, work, resid)
ZBDT05

Function/Subroutine Documentation

subroutine ZBDT05 (integer m, integer n, complex*16, dimension( lda, * ) a, integer lda, double precision, dimension( * ) s, integer ns, complex*16, dimension( * ) u, integer ldu, complex*16, dimension( ldvt, * ) vt, integer ldvt, complex*16, dimension( * ) work, double precision resid)

ZBDT05

Purpose:

!>
!> ZBDT05 reconstructs a bidiagonal matrix B from its (partial) SVD:
!>    S = U' * B * V
!> where U and V are orthogonal matrices and S is diagonal.
!>
!> The test ratio to test the singular value decomposition is
!>    RESID = norm( S - U' * B * V ) / ( n * norm(B) * EPS )
!> where VT = V' and EPS is the machine precision.
!> 

Parameters

M

!>          M is INTEGER
!>          The number of rows of the matrices A and U.
!> 

N

!>          N is INTEGER
!>          The number of columns of the matrices A and VT.
!> 

A

!>          A is COMPLEX*16 array, dimension (LDA,N)
!>          The m by n matrix A.
!> 

LDA

!>          LDA is INTEGER
!>          The leading dimension of the array A.  LDA >= max(1,M).
!> 

S

!>          S is DOUBLE PRECISION array, dimension (NS)
!>          The singular values from the (partial) SVD of B, sorted in
!>          decreasing order.
!> 

NS

!>          NS is INTEGER
!>          The number of singular values/vectors from the (partial)
!>          SVD of B.
!> 

U

!>          U is COMPLEX*16 array, dimension (LDU,NS)
!>          The n by ns orthogonal matrix U in S = U' * B * V.
!> 

LDU

!>          LDU is INTEGER
!>          The leading dimension of the array U.  LDU >= max(1,N)
!> 

VT

!>          VT is COMPLEX*16 array, dimension (LDVT,N)
!>          The n by ns orthogonal matrix V in S = U' * B * V.
!> 

LDVT

!>          LDVT is INTEGER
!>          The leading dimension of the array VT.
!> 

WORK

!>          WORK is COMPLEX*16 array, dimension (M,N)
!> 

RESID

!>          RESID is DOUBLE PRECISION
!>          The test ratio:  norm(S - U' * A * V) / ( n * norm(A) * EPS )
!> 

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 123 of file zbdt05.f.

Author

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Version 3.12.0 LAPACK