A Path Following Algorithm for Finding All the Solutions of Non-linear Equation System in a Compact Region

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概要

• 論文の詳細を見る

• We propose a method to search all the zeros of a complex function in a given compact region D ⊂ C^n. The function f : C^n → C^n to be considered is assumed to consist of polynomial and transcendental terms and to satisfy f(x) ∈ R^n for any x ∈ R^n. Using the properties of such a complex function, we can compute the number of zeros and determine the starting points of paths on the boundary of D, which attain all the zeros of f in D without encountering a singular point. A piecewise-linear approximation of the function on a triangulation is used for both computing the number of zeros and following the paths.

• 社団法人電子情報通信学会の論文
• 1997-11-25

著者

• Satoh Yuuji

  The Faculty Of Political Science And Economics Matsusaka University

• Nishino Hisakazu

  The Faculty Of Science And Technology Keio University

• Fujisaka Hisato

  The Osaki Electric Co. Ltd. Dept. Of Optical Communication

• SATO Chikara

  the Faculty of Science and Technology, Keio University

• Sato Chikara

  The Faculty Of Science And Technology Keio University

関連論文

• A Path Following Algorithm for Finding All the Solutions of Non-linear Equation System in a Compact Region

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