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Zbl 0575.65043
Yamamoto, Yoshitsugu
A variable dimension fixed point algorithm and the orientation of simplices.
(English)
[J] Math. Program. 30, 301-312 (1984). ISSN 0025-5610; ISSN 1436-4646/e

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.
MSC 2000:
*65H10 Systems of nonlinear equations (numerical methods)

Keywords: fixed point algorithm; orientation of simplices; variable dimension algorithm

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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