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On the Choice of Steplength in Path Following Methods
Author(s) -
Schwetlick H.
Publication year - 1984
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.19840640903
Subject(s) - path (computing) , type (biology) , nonlinear system , mathematics , mathematical optimization , computer science , calculus (dental) , physics , medicine , dentistry , programming language , ecology , quantum mechanics , biology
A path following method of Newton type widely used in numerical practice is investigated by using a model based on the Kantorovich Theorem. It turns out that within this model a steplength near the maximal steplength accepted by the Kantorovich Theorem is most efficient provided that a uniform accuracy of all points is required. This theoretical result is confirmed by a numerical example taken from nonlinear circuit theory.