An algorithm computing the regular formal solutions of a system of linear differential equations

被引:22
作者
Barkatou, M [1 ]
Pflügel, E [1 ]
机构
[1] Inst IMAG, Lab LMC, F-38041 Grenoble 9, France
关键词
D O I
10.1006/jsco.1999.0315
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We propose a method for computing the regular singular formal solutions of a linear differential system in the neighbourhood of a singular point. This algorithm avoids the use of cyclic vectors and has been implemented dagger in the computer algebra system MAPLE. (C) 1999 Academic Press.
引用
收藏
页码:569 / 587
页数:19
相关论文
共 21 条
[1]  
Abramov S. A., 1991, Proceedings of the 1991 International Symposium on Symbolic and Algebraic Computation. ISSAC '91, P267, DOI 10.1145/120694.120735
[2]  
BARKATOU M, 1993, J APPL ALGEBR ENG CO, V4
[3]  
BARKATOU M, 1995, P ISSAC 95 MONTR
[4]  
BARKATOU M. A., 1988, P ISSAC 88 ROM IT, P183
[5]   An algorithm to compute the exponential part of a formal fundamental matrix solution of a linear differential system [J].
Barkatou M.A. .
Applicable Algebra in Engineering, Communication and Computing, 1997, 8 (1) :1-23
[6]   On rational solutions of systems of linear differential equations [J].
Barkatou, MA .
JOURNAL OF SYMBOLIC COMPUTATION, 1999, 28 (4-5) :547-567
[7]  
GANTMACHER FR, 1966, THEORIE MATRICES
[8]  
Hartman P, 1964, ORDINARY DIFFERENTIA
[9]  
HILALI A, 1987, NUMER MATH, V50, P429, DOI 10.1007/BF01396663
[10]  
HILALI A, 1987, THESIS U GRENOBLE