AN ESTIMATION BY INTERVAL-ANALYSIS OF REGION GUARANTEEING EXISTENCE OF A SOLUTION PATH IN HOMOTOPY METHOD

Authors
MAKINO M
Citation
M. Makino, AN ESTIMATION BY INTERVAL-ANALYSIS OF REGION GUARANTEEING EXISTENCE OF A SOLUTION PATH IN HOMOTOPY METHOD, IEICE transactions on fundamentals of electronics, communications and computer science, E81A(9), 1998, pp. 1886-1891
Citations number
17
Categorie Soggetti
Engineering, Eletrical & Electronic","Computer Science Hardware & Architecture","Computer Science Information Systems
Journal title
IEICE transactions on fundamentals of electronics, communications and computer science → ACNP
ISSN journal
09168508
Volume
E81A
Issue
9
Year of publication
1998
Pages
1886 - 1891
Database
ISI
SICI code
0916-8508(1998)E81A:9<1886:AEBIOR>2.0.ZU;2-#
Abstract
Related with accuracy, computational complexity and so on, quality of computing for the so-called homotopy method has been discussed recentl y. In this paper, we shall propose an estimation method with interval analysis of region in which unique solution path of the homotopy equat ion is guaranteed to exist, when it is applied to a certain class of u niquely solvable nonlinear equations. By the estimation, we can estima te the region a posteriori, and estimate a priori an upper bound of th e region.