zspt03()

subroutine zspt03	(	character	UPLO,
		integer	N,
		complex*16, dimension( * )	A,
		complex*16, dimension( * )	AINV,
		complex*16, dimension( ldw, * )	WORK,
		integer	LDW,
		double precision, dimension( * )	RWORK,
		double precision	RCOND,
		double precision	RESID
	)

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

[in]	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
[in]	N	N is INTEGER The number of rows and columns of the matrix A. N >= 0.
[in]	A	A is COMPLEX*16 array, dimension (N*(N+1)/2) The original complex symmetric matrix A, stored as a packed triangular matrix.
[in]	AINV	AINV is COMPLEX*16 array, dimension (N*(N+1)/2) The (symmetric) inverse of the matrix A, stored as a packed triangular matrix.
[out]	WORK	WORK is COMPLEX*16 array, dimension (LDW,N)
[in]	LDW	LDW is INTEGER The leading dimension of the array WORK. LDW >= max(1,N).
[out]	RWORK	RWORK is DOUBLE PRECISION array, dimension (N)
[out]	RCOND	RCOND is DOUBLE PRECISION The reciprocal of the condition number of A, computed as ( 1/norm(A) ) / norm(AINV).
[out]	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.