table of contents
dlagtm.f(3) | LAPACK | dlagtm.f(3) |
NAME¶
dlagtm.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine dlagtm (TRANS, N, NRHS, ALPHA, DL,
D, DU, X, LDX, BETA, B, LDB)
DLAGTM performs a matrix-matrix product of the form C =
αAB+βC, where A is a tridiagonal matrix, B and C are
rectangular matrices, and α and β are scalars, which may be 0,
1, or -1.
Function/Subroutine Documentation¶
subroutine dlagtm (character TRANS, integer N, integer NRHS, double precision ALPHA, double precision, dimension( * ) DL, double precision, dimension( * ) D, double precision, dimension( * ) DU, double precision, dimension( ldx, * ) X, integer LDX, double precision BETA, double precision, dimension( ldb, * ) B, integer LDB)¶
DLAGTM performs a matrix-matrix product of the form C = αAB+βC, where A is a tridiagonal matrix, B and C are rectangular matrices, and α and β are scalars, which may be 0, 1, or -1.
Purpose:
DLAGTM performs a matrix-vector product of the form
B := alpha * A * X + beta * B
where A is a tridiagonal matrix of order N, B and X are N by NRHS
matrices, and alpha and beta are real scalars, each of which may be
0., 1., or -1.
Parameters:
TRANS
TRANS is CHARACTER*1
Specifies the operation applied to A.
= 'N': No transpose, B := alpha * A * X + beta * B
= 'T': Transpose, B := alpha * A'* X + beta * B
= 'C': Conjugate transpose = Transpose
N
N is INTEGER
The order of the matrix A. N >= 0.
NRHS
NRHS is INTEGER
The number of right hand sides, i.e., the number of columns
of the matrices X and B.
ALPHA
ALPHA is DOUBLE PRECISION
The scalar alpha. ALPHA must be 0., 1., or -1.; otherwise,
it is assumed to be 0.
DL
DL is DOUBLE PRECISION array, dimension (N-1)
The (n-1) sub-diagonal elements of T.
D
D is DOUBLE PRECISION array, dimension (N)
The diagonal elements of T.
DU
DU is DOUBLE PRECISION array, dimension (N-1)
The (n-1) super-diagonal elements of T.
X
X is DOUBLE PRECISION array, dimension (LDX,NRHS)
The N by NRHS matrix X.
LDX
LDX is INTEGER
The leading dimension of the array X. LDX >= max(N,1).
BETA
BETA is DOUBLE PRECISION
The scalar beta. BETA must be 0., 1., or -1.; otherwise,
it is assumed to be 1.
B
B is DOUBLE PRECISION array, dimension (LDB,NRHS)
On entry, the N by NRHS matrix B.
On exit, B is overwritten by the matrix expression
B := alpha * A * X + beta * B.
LDB
LDB is INTEGER
The leading dimension of the array B. LDB >= max(N,1).
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
December 2016
Definition at line 147 of file dlagtm.f.
Author¶
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