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Simplicial Methods for the Solution of Systems of Nonlinear Equations
Author(s) -
Bittner Leonhard
Publication year - 1976
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19760560202
Subject(s) - simplex , generalization , convergence (economics) , nonlinear system , property (philosophy) , mathematics , process (computing) , mathematical optimization , computer science , mathematical analysis , combinatorics , epistemology , physics , quantum mechanics , economics , economic growth , operating system , philosophy
The paper establishes an iteration process, which has been stimulated by H. Heinrich and is of particular interest, since it constitutes the precise generalization of the special secant method. Besides investigating convergence a.s.o. the paper answers the question important also for other fields of research, whether a kind of intermediate value property holds for multidimensional functions and simplexes.