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

^*Corresponding author for this work

School of Fundamental Science and Engineering

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	304-309
Number of pages	6
Journal	Journal of Computational and Applied Mathematics
Volume	199
Issue number	2
DOIs	https://doi.org/10.1016/j.cam.2005.08.051
Publication status	Published - 2007 Feb 15

Keywords

Affine arithmetic
Interval analysis
Nonlinear systems

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.cam.2005.08.051

Cite this

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title = "Existence test for solution of nonlinear systems applying affine arithmetic",

abstract = "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.",

keywords = "Affine arithmetic, Interval analysis, Nonlinear systems",

author = "Shinya Miyajima and Masahide Kashiwagi",

note = "Funding Information: This research was partially supported by Grant-in-Aid for Young Scientists (B) (16760057, 2004–2006) from the Ministry of Education, Science, Sports and Culture of Japan.",

year = "2007",

month = feb,

day = "15",

doi = "10.1016/j.cam.2005.08.051",

language = "English",

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pages = "304--309",

journal = "Journal of Computational and Applied Mathematics",

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T1 - Existence test for solution of nonlinear systems applying affine arithmetic

AU - Miyajima, Shinya

AU - Kashiwagi, Masahide

N1 - Funding Information: This research was partially supported by Grant-in-Aid for Young Scientists (B) (16760057, 2004–2006) from the Ministry of Education, Science, Sports and Culture of Japan.

PY - 2007/2/15

Y1 - 2007/2/15

N2 - 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.

AB - 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.

KW - Affine arithmetic

KW - Interval analysis

KW - Nonlinear systems

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U2 - 10.1016/j.cam.2005.08.051

DO - 10.1016/j.cam.2005.08.051

M3 - Article

AN - SCOPUS:33749662194

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SP - 304

EP - 309

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 2

ER -

Existence test for solution of nonlinear systems applying affine arithmetic

Abstract

Keywords

ASJC Scopus subject areas

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