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Conjugate direction methods for solving systems of equations and finding saddle points. Part 1
Computing Center, USSR Academy of Sciences, Moscow.ORCID iD: 0000-0003-1836-4200
1982 (English)In: Engineering Cybernetics, ISSN 0013-788X, Vol. 20, no 3, 13-19 p.Article in journal (Refereed) Published
Abstract [en]

This article is devoted to the development of methods of pseudo-orthogonal directions for solving systems of nonlinear equations in which the mapping is uniformly monotonic. Rapidly convergent methods that do not involve evaluation of derivatives are constructed. They constitute a generalization of such methods of unconditional minimization as the method of parallel displacements, Zangwill's method, and Powell's method. The methods developed can be applied, in particular, to finding saddle points of uniformly convex-concave functions.

Place, publisher, year, edition, pages
1982. Vol. 20, no 3, 13-19 p.
Keyword [en]
conjugate direction methods; methods of pseudoorthogonal directions; systems of nonlinear equations; method of parallel displacements; saddle points; uniformly convex-concave functions
National Category
Computational Mathematics
URN: urn:nbn:se:liu:diva-78878OAI: diva2:536359
Translation in English of a paper originally published in Russian in Izv. Akad. Nauk SSSR, Tekh. Kibern. (1982) No. 3, p. 17-24.Available from: 2012-06-21 Created: 2012-06-21 Last updated: 2015-06-02

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Burdakov, Oleg
Computational Mathematics

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