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LAPACK
3.7.0
LAPACK: Linear Algebra PACKage
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subroutine zpot03 | ( | character | UPLO, |
integer | N, | ||
complex*16, dimension( lda, * ) | A, | ||
integer | LDA, | ||
complex*16, dimension( ldainv, * ) | AINV, | ||
integer | LDAINV, | ||
complex*16, dimension( ldwork, * ) | WORK, | ||
integer | LDWORK, | ||
double precision, dimension( * ) | RWORK, | ||
double precision | RCOND, | ||
double precision | RESID | ||
) |
ZPOT03
ZPOT03 computes the residual for a Hermitian matrix times its inverse: norm( I - A*AINV ) / ( N * norm(A) * norm(AINV) * EPS ), where EPS is the machine epsilon.
[in] | UPLO | UPLO is CHARACTER*1 Specifies whether the upper or lower triangular part of the Hermitian 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 (LDA,N) The original Hermitian matrix A. |
[in] | LDA | LDA is INTEGER The leading dimension of the array A. LDA >= max(1,N) |
[in,out] | AINV | AINV is COMPLEX*16 array, dimension (LDAINV,N) On entry, the inverse of the matrix A, stored as a Hermitian matrix in the same format as A. In this version, AINV is expanded into a full matrix and multiplied by A, so the opposing triangle of AINV will be changed; i.e., if the upper triangular part of AINV is stored, the lower triangular part will be used as work space. |
[in] | LDAINV | LDAINV is INTEGER The leading dimension of the array AINV. LDAINV >= max(1,N). |
[out] | WORK | WORK is COMPLEX*16 array, dimension (LDWORK,N) |
[in] | LDWORK | LDWORK is INTEGER The leading dimension of the array WORK. LDWORK >= 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 ) |
Definition at line 128 of file zpot03.f.