NDLI: A Genetic Algorithm for Finding Minimal Multi-homogeneous Bézout Number

Content Provider	IEEE Xplore Digital Library
Author	Dongshu Yan Jintao Zhang Bo Yu Changtong Luo Shaoliang Zhang
Copyright Year	2008
Description	Author affiliation: Dept. of Basic Sci., Jilin Inst. of Archit. & Civil Eng., Changchun (Dongshu Yan)
Abstract	Homotopy continuation is a most efficient numerical method for finding all isolated solutions of system of polynomial equations, and finding minimal multi-homogeneous Bezout number is a basic problem of homotopy continuation. This paper presents a problem-specific genetic algorithm for finding minimal multi-homogeneous Bezout number. The algorithm is easy to implement and easy to be parallelized for large scale problems. It can find the minimal multi-homogeneous Bezout number in probability 1. Numerical results indicate that the proposed algorithm is reliable and efficient. The algorithm offers a competitive alternative for minimal multi-homogeneous Bezout number problem. Meanwhile, it extends the application fields of genetic algorithms.
Starting Page	301
Ending Page	305
File Size	157433
Page Count	5
File Format	PDF
ISBN	9780769531311
DOI	10.1109/ICIS.2008.38
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-05-14
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Genetic algorithms Equations Polynomials Upper bound Information science Computer architecture Civil engineering Mathematics Isolation technology Large-scale systems minimal multi-homogeneous Bezout number genetic algorithm heuristics polynomial equations
Content Type	Text
Resource Type	Article

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