A new method for computing the solutions of differential equation systems using generalized inverse via Maple

被引:6
作者
Güyer, T
Kiymaz, O
Bilgici, G
Mirasyedioglu, S [1 ]
机构
[1] Gazi Univ, Dept Comp & Educ Technol, TR-06500 Ankara, Turkey
[2] Gazi Univ, Dept Math Educ, TR-06500 Ankara, Turkey
关键词
D O I
10.1016/S0096-3003(00)00003-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In J. Jones et al., J. Symbolic Comput. 25 (1998) 99-124, an algorithm for computing the generalized inverse of a singular rational matrix has been implemented in Maple. In this paper, we present a new symbolic algorithm to compute the initial value problem of higher order differential equations with constant coefficients using generalized inverse. The algorithm is subsequently implemented in the symbolic computational package Maple. (C) 2001 Elsevier Science Inc. All rights reserved.
引用
收藏
页码:291 / 299
页数:9
相关论文
共 10 条
  • [1] [Anonymous], 1971, GEN INVERSES MATRICE
  • [2] BENISRAEL A, 1974, GEN INVERSES THEORY
  • [3] DECELL HP, 1965, SIAM REV, V7, P526
  • [4] COMPUTATION OF THE INVERSE OF A POLYNOMIAL MATRIX AND EVALUATION OF ITS LAURENT EXPANSION
    FRAGULIS, G
    MERTZIOS, BG
    VARDULAKIS, AIG
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 1991, 53 (02) : 431 - 443
  • [5] The computation and application of the generalized inverse via maple
    Jones, J
    Karampetakis, NP
    Pugh, AC
    [J]. JOURNAL OF SYMBOLIC COMPUTATION, 1998, 25 (01) : 99 - 124
  • [6] Computation of the generalized inverse of a polynomial matrix and applications
    Karampetakis, NP
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1997, 252 : 35 - 60
  • [7] LOVASSNAGY V, 1978, IEEE T CIRCUITS SYST, V9, P766
  • [8] FUNDAMENTAL MATRIX OF DISCRETE SINGULAR SYSTEMS
    MERTZIOS, BG
    LEWIS, FL
    [J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 1989, 8 (03) : 341 - 355
  • [9] Penrose R., 1955, P CAMBRIDGE PHILOS S, V51, P406, DOI [10.1017/S0305004100030401, DOI 10.1017/S0305004100030401]
  • [10] RAO MRM, 1981, ORDINARY DIFFERENTIA, P3