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Yamamoto, Yoshitsugu

A variable dimension fixed point algorithm and the orientation of simplices. (English) Zbl 0575.65043

Math. Program. 30, 301-312 (1984).
A variable dimension algorithm with integer labelling is proposed for solving systems of n equations in n variables. The algorithm is an integer labelling version of the 2-ray algorithm proposed by the author. The orientation of lower dimensional simplices is studied and is shown to be preserved along a sequence of adjacent simplices.

Cited in 4 Documents

MSC:

65H10 Numerical computation of solutions to systems of equations

Keywords:

fixed point algorithm; orientation of simplices; variable dimension algorithm
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\textit{Y. Yamamoto}, Math. Program. 30, 301--312 (1984; Zbl 0575.65043)
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References:

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[14] Y. Yamamoto, ”A new variable dimension algorithm for the fixed point problem”,Mathematical Programming 25 (1983) 329–342. · Zbl 0495.90071
[15] Y. Yamamoto and K. Murata, ”A new variable dimension algorithm: extension for separable mappings, geometric interpretation and some applications”, Discussion Paper Series No. 129 (81-30), University of Tsukuba (Japan, 1981).
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