table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/zpbt01.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/zpbt01.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/zpbt01.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine ZPBT01 (uplo, n, kd, a, lda, afac, ldafac,
rwork, resid)
ZPBT01
Function/Subroutine Documentation¶
subroutine ZPBT01 (character uplo, integer n, integer kd, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( ldafac, * ) afac, integer ldafac, double precision, dimension( * ) rwork, double precision resid)¶
ZPBT01
Purpose:
!> !> ZPBT01 reconstructs a Hermitian positive definite band 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. !>
KD
!> KD is INTEGER !> The number of super-diagonals of the matrix A if UPLO = 'U', !> or the number of sub-diagonals if UPLO = 'L'. KD >= 0. !>
A
!> A is COMPLEX*16 array, dimension (LDA,N) !> The original Hermitian band matrix A. If UPLO = 'U', the !> upper triangular part of A is stored as a band matrix; if !> UPLO = 'L', the lower triangular part of A is stored. The !> columns of the appropriate triangle are stored in the columns !> of A and the diagonals of the triangle are stored in the rows !> of A. See ZPBTRF for further details. !>
LDA
!> LDA is INTEGER. !> The leading dimension of the array A. LDA >= max(1,KD+1). !>
AFAC
!> AFAC is COMPLEX*16 array, dimension (LDAFAC,N) !> The factored form of the matrix A. AFAC contains the factor !> L or U from the L*L' or U'*U factorization in band storage !> format, as computed by ZPBTRF. !>
LDAFAC
!> LDAFAC is INTEGER !> The leading dimension of the array AFAC. !> LDAFAC >= max(1,KD+1). !>
RWORK
!> RWORK is DOUBLE PRECISION array, dimension (N) !>
RESID
!> RESID is DOUBLE PRECISION !> If UPLO = 'L', norm(L*L' - A) / ( N * norm(A) * EPS ) !> If UPLO = 'U', norm(U'*U - A) / ( N * norm(A) * EPS ) !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 118 of file zpbt01.f.
Author¶
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