Rational solutions of linear difference equations: Universal denominators and denominator bounds

被引:12
作者
Abramov, S. A. [1 ]
Gheffar, A. [2 ]
Khmelnov, D. E. [1 ]
机构
[1] Russian Acad Sci, Dorodnicyn Comp Ctr, Moscow 119991, Russia
[2] Univ Limoges, CNRS, XLIM, F-87060 Limoges, France
基金
俄罗斯基础研究基金会;
关键词
Rational Function; Rational Solution; Polynomial Coefficient; Polynomial Solution; Linear Difference Equation;
D O I
10.1134/S0361768811020022
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
Complexities of some well-known algorithms for finding rational solutions of linear difference equations with polynomial coefficients are studied.
引用
收藏
页码:78 / 86
页数:9
相关论文
共 13 条
[1]  
Abramov S. A., 1995, Proceedings of the 1995 International Symposium on Symbolic and Algebraic Computation, ISSAC '95, P290, DOI 10.1145/220346.220384
[2]  
Abramov SA, 2010, LECT NOTES COMPUT SC, V6244, P4, DOI 10.1007/978-3-642-15274-0_2
[3]  
Abramov SA, 1995, PROGRAM COMPUT SOFT+, V21, P273
[4]  
ABRAMOV SA, 1989, VESTN MOSK U 15, P53
[5]  
ABRAMOV SA, 2009, LECT ALGORITHM COMPL
[6]  
ABRAMOV SA, 1998, P ISSAC 98, P124
[7]  
ABRAMOV SA, 1989, COMP MATH MATH PHYS, V29, P7
[8]  
Barkatou MA, 1999, ISSAC 99: PROCEEDINGS OF THE 1999 INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND ALGEBRAIC COMPUTATION, P277, DOI 10.1145/309831.309956
[9]  
Gheffar A., 2010, ACM COMMUN COMPUT AL, V44, P78
[10]  
GHEFFAR A, 2011, ADV APPL MA IN PRESS