Summary

Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications

2012

Session Number:B3L-B

Session:

Number:419

All Solution Algorithm for Parameter-Dependent Nonlinear Equations Using Affine Arithmetic

Kosuke Ihara,  Yuchi Kanzawa,  

pp.419-422

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.1.419

PDF download (313KB)

A new all solution algorithm is proposed for parameter-dependent nonlinear equations. In this algorithm, affine arithmetic[1], which is more accurate than interval arithmetic[2], is used for an existence test and two non-existence tests of a solution. The efficiency of the proposed algorithm is verified by some numerical examples.

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