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/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/EIG/sstt21.f(3) Library Functions Manual /home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/EIG/sstt21.f(3)

NAME

/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/EIG/sstt21.f

SYNOPSIS

Functions/Subroutines


subroutine SSTT21 (n, kband, ad, ae, sd, se, u, ldu, work, result)
SSTT21

Function/Subroutine Documentation

subroutine SSTT21 (integer n, integer kband, real, dimension( * ) ad, real, dimension( * ) ae, real, dimension( * ) sd, real, dimension( * ) se, real, dimension( ldu, * ) u, integer ldu, real, dimension( * ) work, real, dimension( 2 ) result)

SSTT21

Purpose:

!>
!> SSTT21 checks a decomposition of the form
!>
!>    A = U S U'
!>
!> where ' means transpose, A is symmetric tridiagonal, U is orthogonal,
!> and S is diagonal (if KBAND=0) or symmetric tridiagonal (if KBAND=1).
!> Two tests are performed:
!>
!>    RESULT(1) = | A - U S U' | / ( |A| n ulp )
!>
!>    RESULT(2) = | I - UU' | / ( n ulp )
!> 

Parameters

N

!>          N is INTEGER
!>          The size of the matrix.  If it is zero, SSTT21 does nothing.
!>          It must be at least zero.
!> 

KBAND

!>          KBAND is INTEGER
!>          The bandwidth of the matrix S.  It may only be zero or one.
!>          If zero, then S is diagonal, and SE is not referenced.  If
!>          one, then S is symmetric tri-diagonal.
!> 

AD

!>          AD is REAL array, dimension (N)
!>          The diagonal of the original (unfactored) matrix A.  A is
!>          assumed to be symmetric tridiagonal.
!> 

AE

!>          AE is REAL array, dimension (N-1)
!>          The off-diagonal of the original (unfactored) matrix A.  A
!>          is assumed to be symmetric tridiagonal.  AE(1) is the (1,2)
!>          and (2,1) element, AE(2) is the (2,3) and (3,2) element, etc.
!> 

SD

!>          SD is REAL array, dimension (N)
!>          The diagonal of the (symmetric tri-) diagonal matrix S.
!> 

SE

!>          SE is REAL array, dimension (N-1)
!>          The off-diagonal of the (symmetric tri-) diagonal matrix S.
!>          Not referenced if KBSND=0.  If KBAND=1, then AE(1) is the
!>          (1,2) and (2,1) element, SE(2) is the (2,3) and (3,2)
!>          element, etc.
!> 

U

!>          U is REAL array, dimension (LDU, N)
!>          The orthogonal matrix in the decomposition.
!> 

LDU

!>          LDU is INTEGER
!>          The leading dimension of U.  LDU must be at least N.
!> 

WORK

!>          WORK is REAL array, dimension (N*(N+1))
!> 

RESULT

!>          RESULT is REAL array, dimension (2)
!>          The values computed by the two tests described above.  The
!>          values are currently limited to 1/ulp, to avoid overflow.
!>          RESULT(1) is always modified.
!> 

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 125 of file sstt21.f.

Author

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Version 3.12.0 LAPACK