sstt22.f - Man Page

TESTING/EIG/sstt22.f

Synopsis

Functions/Subroutines

subroutine sstt22 (n, m, kband, ad, ae, sd, se, u, ldu, work, ldwork, result)
SSTT22

Function/Subroutine Documentation

subroutine sstt22 (integer n, integer m, integer kband, real, dimension( * ) ad, real, dimension( * ) ae, real, dimension( * ) sd, real, dimension( * ) se, real, dimension( ldu, * ) u, integer ldu, real, dimension( ldwork, * ) work, integer ldwork, real, dimension( 2 ) result)

SSTT22

Purpose:

 SSTT22  checks a set of M eigenvalues and eigenvectors,

     A U = U S

 where A is symmetric tridiagonal, the columns of U are orthogonal,
 and S is diagonal (if KBAND=0) or symmetric 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, SSTT22 does nothing.
          It must be at least zero.

M

          M is INTEGER
          The number of eigenpairs to check.  If it is zero, SSTT22
          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)
          The off-diagonal of the original (unfactored) matrix A.  A
          is assumed to be symmetric 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 (symmetric tri-) diagonal matrix S.

SE

          SE is REAL array, dimension (N)
          The off-diagonal of the (symmetric 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 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 (LDWORK, M+1)

LDWORK

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

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 137 of file sstt22.f.

Author

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Referenced By

The man page sstt22(3) is an alias of sstt22.f(3).

Tue Nov 28 2023 12:08:42 Version 3.12.0 LAPACK