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/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/EIG/cstt22.f(3) Library Functions Manual /home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/EIG/cstt22.f(3)

NAME

/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/EIG/cstt22.f

SYNOPSIS

Functions/Subroutines


subroutine CSTT22 (n, m, kband, ad, ae, sd, se, u, ldu, work, ldwork, rwork, result)
CSTT22

Function/Subroutine Documentation

subroutine CSTT22 (integer n, integer m, integer kband, real, dimension( * ) ad, real, dimension( * ) ae, real, dimension( * ) sd, real, dimension( * ) se, complex, dimension( ldu, * ) u, integer ldu, complex, dimension( ldwork, * ) work, integer ldwork, real, dimension( * ) rwork, real, dimension( 2 ) result)

CSTT22

Purpose:

!>
!> CSTT22  checks a set of M eigenvalues and eigenvectors,
!>
!>     A U = U S
!>
!> where A is Hermitian tridiagonal, the columns of U are unitary,
!> and S is diagonal (if KBAND=0) or Hermitian tridiagonal (if KBAND=1).
!> Two tests are performed:
!>
!>    RESULT(1) = | U* A U - S | / ( |A| m ulp )
!>
!>    RESULT(2) = | I - U*U | / ( m ulp )
!> 

Parameters

N

!>          N is INTEGER
!>          The size of the matrix.  If it is zero, CSTT22 does nothing.
!>          It must be at least zero.
!> 

M

!>          M is INTEGER
!>          The number of eigenpairs to check.  If it is zero, CSTT22
!>          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 Hermitian tri-diagonal.
!> 

AD

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

AE

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

SD

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

SE

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

U

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

LDU

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

WORK

!>          WORK is COMPLEX array, dimension (LDWORK, M+1)
!> 

LDWORK

!>          LDWORK is INTEGER
!>          The leading dimension of WORK.  LDWORK must be at least
!>          max(1,M).
!> 

RWORK

!>          RWORK is REAL array, dimension (N)
!> 

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.
!> 

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 143 of file cstt22.f.

Author

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Version 3.12.0 LAPACK