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A globally convergent zero finding method

✍ Scribed by Toshio Suzuki; Tomohiro Suzuki


Book ID
104329960
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
274 KB
Volume
47
Category
Article
ISSN
0362-546X

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✦ Synopsis


A new zero finding method for algebraic equation, using the Fourier coefficient on a circle in the complex plane, is proposed. The proof of the main theorem which guarantees its global convergence is shown precisely. Some results of numerical experiments are given.


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This paper presents a globally convergent method for solving a general semi-infinite linear programming problem. Some important features of this method include: It can solve a semi-infinite linear program having an unbounded feasible region. It requires an inexact solution to a nonlinear subproblem