Two algorithms for solving comrade linear systems

被引：8

作者：

Karawia, A. A. ^{[1
]}

机构：

[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 189卷 / 01期

关键词：

comrade matrices; tridiagonal matrices; linear systems; determinants; computer algebra systems (CAS);

D O I：

10.1016/j.amc.2006.11.107

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present an efficient computational and symbolic algorithms for solving comrade linear systems. The implementation of the algorithms using Computer Algebra Systems (CAS) such as MAPLE, MACSYMA, MATHEMATICA, and MATLAB is straightforward. An examples are given in order to illustrate the algorithms. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：291 / 297

页数：7

共 8 条

[1] Allen M B, 1997, NUMERICAL ANAL APPL
[2] Barnett S., 1990, MATRICES METHODS APP
[3] CHENEY W, 1985, NUMERICAL MATH COMPU
[4] On the inverse of a gene tridiagonal matrix
El-Mikkawy, MEA
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 150 (03) : 669 - 679
[5] A fast algorithm for evaluating nth order tri-diagonal determinants
El-Mikkawy, MEA
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2004, 166 (02) : 581 - 584
[6] Inversion of general tridiagonal matrices
El-Mikkawy, Moawwad
Karawia, Abdelrahman
[J]. APPLIED MATHEMATICS LETTERS, 2006, 19 (08) : 712 - 720
[7] APPLICATIONS OF COMRADE MATRIX TO LINEAR-MULTIVARIABLE SYSTEMS-THEORY
MAROULAS, J
BARNETT, S
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1978, 28 (01) : 129 - 145
[8] A comrade-matrix-based derivation of the different versions of fast cosine and sine transforms
Olshevsky, A
Olshevsky, V
Wang, J
[J]. ADVANCED SIGNAL PROCESSING ALGORITHMS, ARCHITECTURES, AND IMPLEMENTATIONS XIII, 2003, 5205 : 399 - 410

← 1 →