On rational solutions of systems of linear differential equations

被引：52

作者：

Barkatou, MA ^{[1
]}

机构：

[1] Univ Grenoble 1, IMAG, LMC, F-38041 Grenoble 9, France

来源：

JOURNAL OF SYMBOLIC COMPUTATION | 1999年 / 28卷 / 4-5期

关键词：

D O I：

10.1006/jsco.1999.0314

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Let K be a field of characteristic zero and M(Y) = N a system of linear differential equations with coefficients in K(x). We propose a new algorithm to compute the set of rational solutions of such a system. This algorithm does not require the use of cyclic vectors. It has been implemented in MAPLE V and it turns out to be faster than cyclic vector computations. We show how one can use this algorithm to give a method to find the set of solutions with entries in K(x)[log x] of M(Y) = N. (C) 1999 Academic Press.

引用

页码：547 / 567

页数：21

共 18 条

[1]

ABRAMOV AS, 1989, USSR COMP MATH MATH, V28, P7

[2]

Abramov S. A., 1995, Proceedings of the 1995 International Symposium on Symbolic and Algebraic Computation, ISSAC '95, P290, DOI 10.1145/220346.220384

[3]

Abramov S. A., 1991, Proceedings of the 1991 International Symposium on Symbolic and Algebraic Computation. ISSAC '91, P267, DOI 10.1145/120694.120735

[4]

Barkatou M.A., 1989, Contributions a l'etude d'equations differentielles et aux differences dans le champ complexe

[5]

BARKATOU MA, 1997, 973M RR IMAG LMC

[6]

BARKATOU MA, 1993, J APPL ALGBR ENG COM, V4, P1

[7]

BARKATOU MA, 1996, THESIS U CADI AYYAD

[8]

BARKATOU MA, 1995, P INT S SYMB ALG COM, P302

[9]

BARKATOU MA, 1997, IN PRESS ALGORITHM C

[10]

BARKATOU MA, 1997, J SYMB COMPUT, V28, P569

← 1 2 →