table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/zgbt01.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/zgbt01.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/zgbt01.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine ZGBT01 (m, n, kl, ku, a, lda, afac, ldafac,
ipiv, work, resid)
ZGBT01
Function/Subroutine Documentation¶
subroutine ZGBT01 (integer m, integer n, integer kl, integer ku, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( ldafac, * ) afac, integer ldafac, integer, dimension( * ) ipiv, complex*16, dimension( * ) work, double precision resid)¶
ZGBT01
Purpose:
!> !> ZGBT01 reconstructs a band matrix A from its L*U factorization and !> computes the residual: !> norm(L*U - A) / ( N * norm(A) * EPS ), !> where EPS is the machine epsilon. !> !> The expression L*U - A is computed one column at a time, so A and !> AFAC are not modified. !>
Parameters
M
!> M is INTEGER !> The number of rows of the matrix A. M >= 0. !>
N
!> N is INTEGER !> The number of columns of the matrix A. N >= 0. !>
KL
!> KL is INTEGER !> The number of subdiagonals within the band of A. KL >= 0. !>
KU
!> KU is INTEGER !> The number of superdiagonals within the band of A. KU >= 0. !>
A
!> A is COMPLEX*16 array, dimension (LDA,N) !> The original matrix A in band storage, stored in rows 1 to !> KL+KU+1. !>
LDA
!> LDA is INTEGER. !> The leading dimension of the array A. LDA >= max(1,KL+KU+1). !>
AFAC
!> AFAC is COMPLEX*16 array, dimension (LDAFAC,N) !> The factored form of the matrix A. AFAC contains the banded !> factors L and U from the L*U factorization, as computed by !> ZGBTRF. U is stored as an upper triangular band matrix with !> KL+KU superdiagonals in rows 1 to KL+KU+1, and the !> multipliers used during the factorization are stored in rows !> KL+KU+2 to 2*KL+KU+1. See ZGBTRF for further details. !>
LDAFAC
!> LDAFAC is INTEGER !> The leading dimension of the array AFAC. !> LDAFAC >= max(1,2*KL*KU+1). !>
IPIV
!> IPIV is INTEGER array, dimension (min(M,N)) !> The pivot indices from ZGBTRF. !>
WORK
!> WORK is COMPLEX*16 array, dimension (2*KL+KU+1) !>
RESID
!> RESID is DOUBLE PRECISION !> norm(L*U - A) / ( N * norm(A) * EPS ) !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 124 of file zgbt01.f.
Author¶
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