Tight enclosures of solutions of linear systems

Takeshi Ogita, Shin’ichi Oishi

研究成果: Chapter

1 被引用数 (Scopus)

抄録

This paper is concerned with the problem of verifying the accuracy of an approximate solution of a linear system. A fast method of calculating both lower and upper error bounds of the approximate solution is proposed. By the proposed method, it is possible to obtain the error bounds which are as tight as needed. As a result, it can be verified that the obtained error bounds are of high quality. Numerical results are presented elucidating properties and efficiencies of the proposed verification method.

本文言語English
ホスト出版物のタイトルInternational Series of Numerical Mathematics
出版社Springer Science and Business Media Deutschland GmbH
ページ167-178
ページ数12
DOI
出版ステータスPublished - 2009

出版物シリーズ

名前International Series of Numerical Mathematics
157
ISSN(印刷版)0373-3149
ISSN(電子版)2296-6072

ASJC Scopus subject areas

  • 数値解析
  • 制御と最適化
  • 応用数学

フィンガープリント

「Tight enclosures of solutions of linear systems」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル