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/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/EIG/zunt01.f(3) Library Functions Manual /home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/EIG/zunt01.f(3)

NAME

/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/EIG/zunt01.f

SYNOPSIS

Functions/Subroutines


subroutine ZUNT01 (rowcol, m, n, u, ldu, work, lwork, rwork, resid)
ZUNT01

Function/Subroutine Documentation

subroutine ZUNT01 (character rowcol, integer m, integer n, complex*16, dimension( ldu, * ) u, integer ldu, complex*16, dimension( * ) work, integer lwork, double precision, dimension( * ) rwork, double precision resid)

ZUNT01

Purpose:

!>
!> ZUNT01 checks that the matrix U is unitary by computing the ratio
!>
!>    RESID = norm( I - U*U' ) / ( n * EPS ), if ROWCOL = 'R',
!> or
!>    RESID = norm( I - U'*U ) / ( m * EPS ), if ROWCOL = 'C'.
!>
!> Alternatively, if there isn't sufficient workspace to form
!> I - U*U' or I - U'*U, the ratio is computed as
!>
!>    RESID = abs( I - U*U' ) / ( n * EPS ), if ROWCOL = 'R',
!> or
!>    RESID = abs( I - U'*U ) / ( m * EPS ), if ROWCOL = 'C'.
!>
!> where EPS is the machine precision.  ROWCOL is used only if m = n;
!> if m > n, ROWCOL is assumed to be 'C', and if m < n, ROWCOL is
!> assumed to be 'R'.
!> 

Parameters

ROWCOL

!>          ROWCOL is CHARACTER
!>          Specifies whether the rows or columns of U should be checked
!>          for orthogonality.  Used only if M = N.
!>          = 'R':  Check for orthogonal rows of U
!>          = 'C':  Check for orthogonal columns of U
!> 

M

!>          M is INTEGER
!>          The number of rows of the matrix U.
!> 

N

!>          N is INTEGER
!>          The number of columns of the matrix U.
!> 

U

!>          U is COMPLEX*16 array, dimension (LDU,N)
!>          The unitary matrix U.  U is checked for orthogonal columns
!>          if m > n or if m = n and ROWCOL = 'C'.  U is checked for
!>          orthogonal rows if m < n or if m = n and ROWCOL = 'R'.
!> 

LDU

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

WORK

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

LWORK

!>          LWORK is INTEGER
!>          The length of the array WORK.  For best performance, LWORK
!>          should be at least N*N if ROWCOL = 'C' or M*M if
!>          ROWCOL = 'R', but the test will be done even if LWORK is 0.
!> 

RWORK

!>          RWORK is DOUBLE PRECISION array, dimension (min(M,N))
!>          Used only if LWORK is large enough to use the Level 3 BLAS
!>          code.
!> 

RESID

!>          RESID is DOUBLE PRECISION
!>          RESID = norm( I - U * U' ) / ( n * EPS ), if ROWCOL = 'R', or
!>          RESID = norm( I - U' * U ) / ( m * EPS ), if ROWCOL = 'C'.
!> 

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 124 of file zunt01.f.

Author

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Version 3.12.0 LAPACK