DECOMPOSITION METHOD BASED ON SIMPLICIAL APPROXIMATION FOR THE NUMERICAL ANALYSIS OF NONLINEAR SYSTEMS.

Kiyotaka Yamamura*, Kazuo Horiuchi, Shin'ichi Oishi

*この研究の対応する著者

研究成果: Conference article査読

抄録

Extensive studies have been carried out on the homotopy continuation algorithms which constructively determine the solution of nonlinear equations. However, their execution speed is greatly decreased when the system of equations becomes large. A decomposition method and acceleration techniques are introduced in order to improve the computational efficiency of the homotopy algorithms. A new algorithm is presented in which the system of equations is decomposed by A. K. Kevorkian's (1981) method, and then a simplicial method, which is a typical homotopy algorithm, is applied. It is shown that this algorithm has local quadratic convergence under some suitable conditions. Application of the algorithm to nonlinear two-point boundary value problems is also discussed and an efficient mesh refinement strategy is given. 10 refs.

本文言語English
ページ(範囲)635-638
ページ数4
ジャーナルProceedings - IEEE International Symposium on Circuits and Systems
出版ステータスPublished - 1985 12 1

ASJC Scopus subject areas

  • 電子工学および電気工学

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