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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 5, Pages 817–831 (Mi zvmmf4872)  
This article is cited in 1 scientific paper (total in 1 paper)

Structure of quasi-Newton minimization methods

A. M. Vetoshkin

Moscow State Forest University, Pervaya Institutskaya ul. 1, Mytischi-5, Moscow oblast, 141005 Russia
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Abstract: A scheme for the design of quasi-Newton methods for unconstrained optimization problems is examined. A criterion for the positive definiteness of the quasi-Newton modification of the Hessian matrix is given. Quasi-Newton methods are described that cannot be placed within the classical scheme specified by the family of Broyden methods.
Key words: unconstrained optimization methods, new quasi-Newton methods, Broyden method.
Received: 19.06.2008
Revised: 29.06.2009
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 5, Pages 778–791
DOI: https://doi.org/10.1134/S0965542510050039
Bibliographic databases:
Document Type: Article
UDC: 519.668
Language: Russian
Citation: A. M. Vetoshkin, “Structure of quasi-Newton minimization methods”, Zh. Vychisl. Mat. Mat. Fiz., 50:5 (2010), 817–831; Comput. Math. Math. Phys., 50:5 (2010), 778–791
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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