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Title: Some variant sof projection methods for large nonlinear optimization problems, Journal of Telecommunications and Information Technology, 2003, nr 3

Creator:

Białoń, Paweł

Date:

2003, nr 3

Resource Type:

artykuł

Description:

Two ideas of modifying projection methods for the case of smooth nonlinear optimization are presented. Projection methods were originally successfully used in solving largescale linear feasibility problems. The proposed instantiations of projection methods fall into two groups. One of them is a decomposition approach in which projections onto sets are realized as optimization problems which themselves involve much portions of original problem constraints. There are two subproblems: one build with linear constraints of the original problem and the second one build with original nonlinear constraints. These approaches use special accelerating cuts so that the separation of nonlinear and linear constraints can be effective and some problem sparsity preserved. The second group bases on penalty-shifting/multiplier methods and draws from the observation that unconstrained subproblems obtained there may solve very slowly due to their nonsmooth character. Thus it is proposed to solve them with modified projection methods which inherit from conjugate gradient methodsa multi-dimensional subspace in one epoche.

Publisher:

Instytut Łączności - Państwowy Instytut Badawczy, Warszawa

Format:

application/pdf

Resource Identifier:

oai:bc.itl.waw.pl:605 ; ISSN 1509-4553, on-line: ISSN 1899-8852

DOI:

10.26636/jtit.2003.3.192

ISSN:

1509-4553

eISSN:

1899-8852

Source:

Journal of Telecommunications and Information Technology

Language:

ang

Rights Management:

Biblioteka Naukowa Instytutu Łączności

Subject and keywords:

penalty shifting method projection methods non-linear optimization

Object collections:

Last modified:

May 29, 2024

In our library since:

Mar 22, 2010

Number of object content hits:

135

All available object's versions:

https://bc.itl.waw.pl/publication/674

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Białoń, Paweł, Some variant sof projection methods for large nonlinear optimization problems, Journal of Telecommunications and Information Technology, 2003, nr 3 May 29, 2024

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Instytut Łączności – Państwowy Instytut Badawczy ul. Szachowa 1 04-894 Warszawa

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(+48) 5128 696

E-Mail

biblioteka@il-pib.pl

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