PDDBTRS(l) LAPACK routine (version 1.5) PDDBTRS(l)
NAME
PDDBTRS - solve a system of linear equations A(1:N, JA:JA+N-1) * X = B(IB:IB+N-1, 1:NRHS)
SYNOPSIS
SUBROUTINE PDDBTRS( TRANS, N, BWL, BWU, NRHS, A, JA, DESCA, B, IB, DESCB, AF, LAF, WORK, LWORK, INFO )
CHARACTER TRANS
INTEGER BWL, BWU, IB, INFO, JA, LAF, LWORK, N, NRHS
INTEGER DESCA( * ), DESCB( * )
DOUBLE PRECISION A( * ), AF( * ), B( * ), WORK( * )
PURPOSE
PDDBTRS solves a system of linear equations
or
A(1:N, JA:JA+N-1)' * X = B(IB:IB+N-1, 1:NRHS)
where A(1:N, JA:JA+N-1) is the matrix used to produce the factors stored in A(1:N,JA:JA+N-1) and AF by PDDBTRF.
A(1:N, JA:JA+N-1) is an N-by-N real
banded diagonally dominant-like distributed
matrix with bandwidth BWL, BWU.
Routine PDDBTRF MUST be called first.
LAPACK version 1.5 12 May 1997 PDDBTRS(l)
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SDTTRSV(l) LAPACK routine (version 2.0) SDTTRSV(l)
NAME
SDTTRSV - solve one of the systems of equations L * X = B, L**T * X = B, or L**H * X = B,
SYNOPSIS
SUBROUTINE SDTTRSV( UPLO, TRANS, N, NRHS, DL, D, DU, B, LDB, INFO )
CHARACTER UPLO, TRANS
INTEGER INFO, LDB, N, NRHS
REAL B( LDB, * ), D( * ), DL( * ), DU( * )
PURPOSE
SDTTRSV solves one of the systems of equations
L * X = B, L**T * X = B, or L**H * X = B,
U * X = B, U**T * X = B, or U**H * X = B,
with factors of the tridiagonal matrix A from the LU factorization computed by SDTTRF.
ARGUMENTS
UPLO (input) CHARACTER*1
Specifies whether to solve with L or U.
TRANS (input) CHARACTER
Specifies the form of the system of equations:
= 'N': A * X = B (No transpose)
= 'T': A**T * X = B (Transpose)
= 'C': A**H * X = B (Conjugate transpose)
N (input) INTEGER
The order of the matrix A. N >= 0.
NRHS (input) INTEGER
The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
DL (input) COMPLEX array, dimension (N-1)
The (n-1) multipliers that define the matrix L from the LU factorization of A.
D (input) COMPLEX array, dimension (N)
The n diagonal elements of the upper triangular matrix U from the LU factorization of A.
DU (input) COMPLEX array, dimension (N-1)
The (n-1) elements of the first superdiagonal of U.
B (input/output) COMPLEX array, dimension (LDB,NRHS)
On entry, the right hand side matrix B. On exit, B is overwritten by the solution matrix X.
LDB (input) INTEGER
The leading dimension of the array B. LDB >= max(1,N).
INFO (output) INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value
modified LAPACK routine 12 May 1997 SDTTRSV(l)
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