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clagtm(3) [centos man page]

clagtm.f(3)							      LAPACK							       clagtm.f(3)

NAME
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 = aAB+BC, where A is a tridiagonal matrix, B and C are rectangular matrices, and a and B are scalars, which may be 0, 1, or -1. Function/Subroutine Documentation subroutine clagtm (characterTRANS, integerN, integerNRHS, realALPHA, complex, dimension( * )DL, complex, dimension( * )D, complex, dimension( * )DU, complex, dimension( ldx, * )X, integerLDX, realBETA, complex, dimension( ldb, * )B, integerLDB) CLAGTM performs a matrix-matrix product of the form C = aAB+BC, where A is a tridiagonal matrix, B and C are rectangular matrices, and a and B are scalars, which may be 0, 1, or -1. Purpose: CLAGTM 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**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. Date: September 2012 Definition at line 145 of file clagtm.f. Author Generated automatically by Doxygen for LAPACK from the source code. Version 3.4.2 Tue Sep 25 2012 clagtm.f(3)

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CLAGTM(l)								 )								 CLAGTM(l)

NAME
CLAGTM - perform 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 SYNOPSIS
SUBROUTINE CLAGTM( TRANS, N, NRHS, ALPHA, DL, D, DU, X, LDX, BETA, B, LDB ) CHARACTER TRANS INTEGER LDB, LDX, N, NRHS REAL ALPHA, BETA COMPLEX B( LDB, * ), D( * ), DL( * ), DU( * ), X( LDX, * ) PURPOSE
CLAGTM 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. ARGUMENTS
TRANS (input) CHARACTER 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 (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 matrices X and B. ALPHA (input) REAL The scalar alpha. ALPHA must be 0., 1., or -1.; otherwise, it is assumed to be 0. DL (input) COMPLEX array, dimension (N-1) The (n-1) sub-diagonal elements of T. D (input) COMPLEX array, dimension (N) The diagonal elements of T. DU (input) COMPLEX array, dimension (N-1) The (n-1) super-diagonal elements of T. X (input) COMPLEX array, dimension (LDX,NRHS) The N by NRHS matrix X. LDX (input) INTEGER The leading dimension of the array X. LDX >= max(N,1). BETA (input) REAL The scalar beta. BETA must be 0., 1., or -1.; otherwise, it is assumed to be 1. B (input/output) 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 (input) INTEGER The leading dimension of the array B. LDB >= max(N,1). LAPACK version 3.0 15 June 2000 CLAGTM(l)
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