zspt03.f - Man Page

subroutine zspt03 (uplo, n, a, ainv, work, ldw, rwork, rcond, resid)
ZSPT03

ZSPT03

Purpose:

 ZSPT03 computes the residual for a complex symmetric packed matrix
 times its inverse:
    norm( I - A*AINV ) / ( N * norm(A) * norm(AINV) * EPS ),
 where EPS is the machine epsilon.

Parameters

UPLO

          UPLO is CHARACTER*1
          Specifies whether the upper or lower triangular part of the
          complex symmetric matrix A is stored:
          = 'U':  Upper triangular
          = 'L':  Lower triangular

N

          N is INTEGER
          The number of rows and columns of the matrix A.  N >= 0.

A

          A is COMPLEX*16 array, dimension (N*(N+1)/2)
          The original complex symmetric matrix A, stored as a packed
          triangular matrix.

AINV

          AINV is COMPLEX*16 array, dimension (N*(N+1)/2)
          The (symmetric) inverse of the matrix A, stored as a packed
          triangular matrix.

WORK

          WORK is COMPLEX*16 array, dimension (LDW,N)

LDW

          LDW is INTEGER
          The leading dimension of the array WORK.  LDW >= max(1,N).

RWORK

          RWORK is DOUBLE PRECISION array, dimension (N)

RCOND

          RCOND is DOUBLE PRECISION
          The reciprocal of the condition number of A, computed as
          ( 1/norm(A) ) / norm(AINV).

RESID

          RESID is DOUBLE PRECISION
          norm(I - A*AINV) / ( N * norm(A) * norm(AINV) * EPS )

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 108 of file zspt03.f.