Basis Selection in Solving Linear Functional Equations

被引：0
|
作者：
D. E. Khmelnov
机构：
[1] Russian Academy of Sciences,Computing Center
来源：
Programming and Computer Software | 2002年 / 28卷
关键词：
Operating System; Artificial Intelligence; Functional Equation; Series Solution; Operator Type;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Search for polynomial and series solutions of linear functional (differential, difference, and q-difference) equations can be based on solving induced recurrences for coefficients of formal series in certain bases. It is shown in the paper that, for every operator type, different bases can be selected, with some of them being more preferable from the practical standpoint.
引用
收藏
页码：102 / 105
页数：3
相关论文
共 50 条
  • [1] Basis selection in solving linear functional equations
    Khmel'nov, D.E.
    2002, Nauka Moscow (28):
  • [2] Basis selection in solving linear functional equations
    Khmelnov, DE
    PROGRAMMING AND COMPUTER SOFTWARE, 2002, 28 (02) : 102 - 105
  • [3] Solving Systems of Linear Functional Equations with Computer
    Borus, Gergo Gyula
    Gilanyi, Attila
    2013 IEEE 4TH INTERNATIONAL CONFERENCE ON COGNITIVE INFOCOMMUNICATIONS (COGINFOCOM), 2013, : 559 - 562
  • [4] A METHOD OF SOLVING NON-LINEAR FUNCTIONAL EQUATIONS
    KURCHATO.VA
    DOKLADY AKADEMII NAUK SSSR, 1969, 189 (02): : 247 - &
  • [5] Solving linear two variable functional equations with computer
    Házy A.
    Aequationes mathematicae, 2004, 67 (1-2) : 47 - 62
  • [6] Functional linear regression for functional response via sparse basis selection
    Han, Kyunghee
    Shin, Hyejin
    JOURNAL OF THE KOREAN STATISTICAL SOCIETY, 2015, 44 (03) : 376 - 389
  • [7] Grobner Basis Approach for Solving Fuzzy Complex System of Linear Equations
    Nejad, Maryam Farahmand
    Farahani, Hamed
    Nuraei, Rahele
    Gilani, Alireza
    NEW MATHEMATICS AND NATURAL COMPUTATION, 2024, 20 (02) : 533 - 550
  • [8] Functional linear regression for functional response via sparse basis selection
    Kyunghee Han
    Hyejin Shin
    Journal of the Korean Statistical Society, 2015, 44 : 376 - 389
  • [9] Solving the Linear Integral Equations Based on Radial Basis Function Interpolation
    Zhang, Huaiqing
    Chen, Yu
    Nie, Xin
    JOURNAL OF APPLIED MATHEMATICS, 2014,
  • [10] New Algorithm for Solving Non-linear Functional Equations
    Kumar M.
    Jhinga A.
    Daftardar-Gejji V.
    International Journal of Applied and Computational Mathematics, 2020, 6 (2)
12345