Factoring systems of linear PDEs with finite-dimensional solution spaces

被引：17
|
作者：
Li, ZM [1 ]
Schwarz, F
Tsarev, SP
机构：
[1] Univ Waterloo, Sch Comp Sci, Symbol Computat Grp, Waterloo, ON N2L 3G1, Canada
[2] Inst SCAI, FhG, D-53754 St Augustin, Germany
[3] Krasnoyarsk State Pedag Univ, Dept Math, Krasnoyarsk 660049, Russia
来源：
JOURNAL OF SYMBOLIC COMPUTATION | 2003年 / 36卷 / 3-4期
关键词：
D O I：
10.1016/S0747-7171(03)00090-7
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
A D-finite system is a finite set of linear homogeneous partial differential equations in several independent and dependent variables, whose solution space is of finite dimension. Let L be a D-finite system with rational function coefficients. We present an algorithm for computing all hyperexponential solutions of L, and an algorithm for computing all D-finite systems whose coefficients are also rational functions, and whose solutions are contained in the solution space of L. (C) 2003 Elsevier Ltd. All rights reserved.
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页码：443 / 471
页数：29
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