Existence test for solution of nonlinear systems applying affine arithmetic

Shinya Miyajima; Masahide Kashiwagi

doi:10.1016/j.cam.2005.08.051

Existence test for solution of nonlinear systems applying affine arithmetic

Shinya Miyajima, Masahide Kashiwagi

基幹理工学部

研究成果: Article

11 引用（Scopus）

抜粋

A computational test is proposed for existence of solution in nonlinear systems. In this test, an interval inclusion of Newton mapping is estimated applying affine arithmetic. Numerical examples are presented to show the efficiency of this test.

元の言語	English
ページ（範囲）	304-309
ページ数	6
ジャーナル	Journal of Computational and Applied Mathematics
巻	199
発行部数	2
DOI	https://doi.org/10.1016/j.cam.2005.08.051
出版物ステータス	Published - 2007 2 15

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

文献にアクセス

10.1016/j.cam.2005.08.051

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これを引用

Miyajima, S., & Kashiwagi, M. (2007). Existence test for solution of nonlinear systems applying affine arithmetic. Journal of Computational and Applied Mathematics, 199(2), 304-309. https://doi.org/10.1016/j.cam.2005.08.051

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