解析関数の多項式因子を求める精度保証付き解法  [in Japanese] A Verified Method for Finding Polynomial Factors of Analytic Functions  [in Japanese]

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Author(s)

    • 杉浦 洋 SUGIURA Hiroshi
    • 名古屋大学情報科学研究科計算機数理科学専攻 Department of Computer Science and Matehmatical Informatics, Graduate School of Information Science, Nagoya University

Abstract

A problem of finding a validated polynomial factor of an analytic function is considered. A validated factorization method was presented by Sakurai and Sugiura in which the bounds of Taylor coefficients of the function was assumed to be available. In this paper, we use complex circular arithmetic to perform the calculation of validated bounds for the Taylor coefficients of a function. Numerical examples show the efficiency of the presented method.

Journal

  • Transactions of the Japan Society for Industrial and Applied Mathematics

    Transactions of the Japan Society for Industrial and Applied Mathematics 14(1), 59-73, 2004

    The Japan Society for Industrial and Applied Mathematics

References:  11

Codes

  • NII Article ID (NAID)
    110001878245
  • NII NACSIS-CAT ID (NCID)
    AN10367166
  • Text Lang
    JPN
  • Article Type
    ART
  • ISSN
    09172246
  • NDL Article ID
    6900982
  • NDL Source Classification
    ZM31(科学技術--数学)
  • NDL Call No.
    Z15-727
  • DOI
    10.11540/jsiamt.14.1_59
  • Data Source
    CJP  NDL  NII-ELS  J-STAGE 
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