An algorithm for iteratively refining the interval including the solution set of parameter-dependent nonlinear equations

被引：0

作者：

Kanzawa, Y ^{[1
]}

Kashiwagi, M

Oishi, S

机构：

[1] Shibaura Inst Technol, Fac Engn, Dept Elect Commun, Tokyo 1088548, Japan

[2] Waseda Univ, Sch Sci & Engn, Dept Informat & Comp Sci, Tokyo 1698555, Japan

来源：

ELECTRONICS AND COMMUNICATIONS IN JAPAN PART III-FUNDAMENTAL ELECTRONIC SCIENCE | 2002年 / 85卷 / 04期

关键词：

interval analysis; precision guarantee-imposed numerical computations; interval iteration; parameter-dependent nonlinear equations;

D O I：

10.1002/ecjc.1085

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

An algorithm for arbitrarily minimizing the width of the interval which does not contain the solutions from the interval which contains the solutions of equations using nonlinear functions in which the dimension of the definition domain is greater than the dimension of the value range is proposed in this paper. In addition, the effectiveness of the proposed algorithm is shown using specific numerical examples. (C) 2001 Scripta Technica.

引用

页码：39 / 44

页数：6

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