SRC/clagtm.f(3) | Library Functions Manual | SRC/clagtm.f(3) |
NAME
SRC/clagtm.f
SYNOPSIS
Functions/Subroutines
subroutine clagtm (trans, n, nrhs, alpha, dl, d, du, x,
ldx, beta, b, ldb)
CLAGTM 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 clagtm (character trans, integer n, integer nrhs, real alpha, complex, dimension( * ) dl, complex, dimension( * ) d, complex, dimension( * ) du, complex, dimension( ldx, * ) x, integer ldx, real beta, complex, dimension( ldb, * ) b, integer ldb)
CLAGTM 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:
CLAGTM performs a matrix-matrix 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**T * X + beta * B = 'C': Conjugate transpose, B := alpha * A**H * X + beta * B
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 REAL The scalar alpha. ALPHA must be 0., 1., or -1.; otherwise, it is assumed to be 0.
DL
DL is COMPLEX array, dimension (N-1) The (n-1) sub-diagonal elements of T.
D
D is COMPLEX array, dimension (N) The diagonal elements of T.
DU
DU is COMPLEX array, dimension (N-1) The (n-1) super-diagonal elements of T.
X
X is COMPLEX 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 REAL The scalar beta. BETA must be 0., 1., or -1.; otherwise, it is assumed to be 1.
B
B is COMPLEX 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.
Definition at line 143 of file clagtm.f.
Author
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