Estimation method of region guaranteeing existence of a solution path in Newton type homotopy method

Mitsunori Makino; Masahide Kashiwagi; Shin'ichi Oishi; Kazuo Horiuchi

Estimation method of region guaranteeing existence of a solution path in Newton type homotopy method

Mitsunori Makino^*, Masahide Kashiwagi, Shin'ichi Oishi, Kazuo Horiuchi

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

An estimation method of region is presented, in which a solution path of the so-called Newton type homotopy equation is guaranteed to exist, when it is applied to a certain class of uniquely solvable nonlinear equations. The region can be estimated a posteriori, and its upper bound also can be estimated a priori.

Original language	English
Pages (from-to)	1113-1116
Number of pages	4
Journal	IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Volume	E76-A
Issue number	7
Publication status	Published - 1993 Jul 1
Externally published	Yes

ASJC Scopus subject areas

Signal Processing
Computer Graphics and Computer-Aided Design
Electrical and Electronic Engineering
Applied Mathematics

Cite this

Estimation method of region guaranteeing existence of a solution path in Newton type homotopy method. / Makino, Mitsunori; Kashiwagi, Masahide ; Oishi, Shin'ichi et al.
In: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol. E76-A, No. 7, 01.07.1993, p. 1113-1116.

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

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AU - Makino, Mitsunori

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AU - Oishi, Shin'ichi

AU - Horiuchi, Kazuo

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N2 - An estimation method of region is presented, in which a solution path of the so-called Newton type homotopy equation is guaranteed to exist, when it is applied to a certain class of uniquely solvable nonlinear equations. The region can be estimated a posteriori, and its upper bound also can be estimated a priori.

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JF - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

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Estimation method of region guaranteeing existence of a solution path in Newton type homotopy method

Abstract

ASJC Scopus subject areas

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