Presentation	1997/9/19 An Estimation with Interval Analysis of Region Guaranteeing Existence of a Solution Path in Homotopy Method Mitsunori Makino,
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Abstract(in English)	Related with accuracy, computational complexity and so on, quality of computing for the so-called homotopy method has been discussed recently. In this paper, we shall propose an estimation method with interval analysis of region in which unique solution path of the homotopy equation is guaranteed to exist, when it is applied to a certain class of uniquely solvable nonlinear equations. By the estimation, we can estimate the region a posteriori, and estimate a priory an upper bound of the region.
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Keyword(in English)	homotopy method / region including solution curve / interval analysis / quality of computing
Paper #	NLP97-84
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Conference Information
Committee	NLP
Conference Date	1997/9/19(1days)
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Paper Information
Registration To	Nonlinear Problems (NLP)
Language	ENG
Title (in Japanese)	(See Japanese page)
Sub Title (in Japanese)	(See Japanese page)
Title (in English)	An Estimation with Interval Analysis of Region Guaranteeing Existence of a Solution Path in Homotopy Method
Sub Title (in English)
Keyword(1)	homotopy method
Keyword(2)	region including solution curve
Keyword(3)	interval analysis
Keyword(4)	quality of computing
1st Author's Name	Mitsunori Makino
1st Author's Affiliation	Department of Information and System Engineering, Faculty of Science and Engineering, Chuo University()
Date	1997/9/19
Paper #	NLP97-84
Volume (vol)	vol.97
Number (no)	258
Page	pp.pp.-
#Pages	6
Date of Issue