解析接続の数値計算への応用

URI http://harp.lib.hiroshima-u.ac.jp/it-hiroshima/metadata/8148
File
Title
解析接続の数値計算への応用
Title Alternative
Analytic Continuation Applied to Numerical Calculation
Author
氏名 殿塚 勲
ヨミ トノズカ イサオ
別名 Tonozuka Isao
氏名 三登 和希
ヨミ ミト カズキ
別名 Mito Kazuki
氏名 古屋 将宏
ヨミ フルヤ マサヒロ
別名 Furuya Masahiro
Subject
power series
radius of convergence
complex function
holomorphic function
analytic continuation
NDC
413
Abstract

A power series with complex variable converges within the radius of convergence, absolutely and uniformly. A holomorphic function is represented by a power series locally, i.e. within the radius of convergence. Starting from the local power series, we show a method to spread the region of convergence by means of suitable transformation of variable. If the region of convergence has a wide area than the original one, the convergence is expected to be fast, which can be applied to a calculation of holomorphic function represented by a power series.

Journal Title
広島工業大学紀要. 研究編
Volume
44
Spage
253
Epage
258
Published Date
2010-02
Publisher
広島工業大学
ISSN
1346-9975
NCID
AA11599110
Language
jpn
NIIType
Departmental Bulletin Paper
Text Version
出版社版
Old URI
Set
it-hiroshima