table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/cla_gbrpvgrw.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/cla_gbrpvgrw.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/cla_gbrpvgrw.f
SYNOPSIS¶
Functions/Subroutines¶
real function CLA_GBRPVGRW (n, kl, ku, ncols, ab, ldab,
afb, ldafb)
CLA_GBRPVGRW computes the reciprocal pivot growth factor
norm(A)/norm(U) for a general banded matrix.
Function/Subroutine Documentation¶
real function CLA_GBRPVGRW (integer n, integer kl, integer ku, integer ncols, complex, dimension( ldab, * ) ab, integer ldab, complex, dimension( ldafb, * ) afb, integer ldafb)¶
CLA_GBRPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a general banded matrix.
Purpose:
!> !> CLA_GBRPVGRW computes the reciprocal pivot growth factor !> norm(A)/norm(U). The norm is used. If this is !> much less than 1, the stability of the LU factorization of the !> (equilibrated) matrix A could be poor. This also means that the !> solution X, estimated condition numbers, and error bounds could be !> unreliable. !>
Parameters
N
!> N is INTEGER !> The number of linear equations, i.e., the order 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. !>
NCOLS
!> NCOLS is INTEGER !> The number of columns of the matrix A. NCOLS >= 0. !>
AB
!> AB is COMPLEX array, dimension (LDAB,N) !> On entry, the matrix A in band storage, in rows 1 to KL+KU+1. !> The j-th column of A is stored in the j-th column of the !> array AB as follows: !> AB(KU+1+i-j,j) = A(i,j) for max(1,j-KU)<=i<=min(N,j+kl) !>
LDAB
!> LDAB is INTEGER !> The leading dimension of the array AB. LDAB >= KL+KU+1. !>
AFB
!> AFB is COMPLEX array, dimension (LDAFB,N) !> Details of the LU factorization of the band matrix A, as !> computed by CGBTRF. 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. !>
LDAFB
!> LDAFB is INTEGER !> The leading dimension of the array AFB. LDAFB >= 2*KL+KU+1. !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 115 of file cla_gbrpvgrw.f.
Author¶
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Version 3.12.0 | LAPACK |