zpot01.f - Man Page

TESTING/LIN/zpot01.f

Synopsis

Functions/Subroutines

subroutine zpot01 (uplo, n, a, lda, afac, ldafac, rwork, resid)
ZPOT01

Function/Subroutine Documentation

subroutine zpot01 (character uplo, integer n, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( ldafac, * ) afac, integer ldafac, double precision, dimension( * ) rwork, double precision resid)

ZPOT01

Purpose:

 ZPOT01 reconstructs a Hermitian positive definite matrix  A  from
 its L*L' or U'*U factorization and computes the residual
    norm( L*L' - A ) / ( N * norm(A) * EPS ) or
    norm( U'*U - A ) / ( N * norm(A) * EPS ),
 where EPS is the machine epsilon, L' is the conjugate transpose of L,
 and U' is the conjugate transpose of U.
Parameters

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

N

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

A

          A is COMPLEX*16 array, dimension (LDA,N)
          The original Hermitian matrix A.

LDA

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

AFAC

          AFAC is COMPLEX*16 array, dimension (LDAFAC,N)
          On entry, the factor L or U from the L * L**H or U**H * U
          factorization of A.
          Overwritten with the reconstructed matrix, and then with
          the difference L * L**H - A (or U**H * U - A).

LDAFAC

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

RWORK

          RWORK is DOUBLE PRECISION array, dimension (N)

RESID

          RESID is DOUBLE PRECISION
          If UPLO = 'L', norm(L * L**H - A) / ( N * norm(A) * EPS )
          If UPLO = 'U', norm(U**H * U - A) / ( N * norm(A) * EPS )
Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 105 of file zpot01.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.

Referenced By

The man page zpot01(3) is an alias of zpot01.f(3).

Tue Nov 28 2023 12:08:43 Version 3.12.0 LAPACK