LINEAR AND NONLINEAR SEMIDEFINITE PROGRAMMING

LINEAR AND NONLINEAR SEMIDEFINITE PROGRAMMING
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线性和非线性半定规划

DOI:
10.1590/0101-7438.2014.034.03.0495
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发表时间:
2014
影响因子:
--
通讯作者:
J. Gómez
J. Gómez
中科院分区:
--
文献类型:
--
作者:
W. G. Bofill;J. Gómez

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本文简要介绍了半定约束优化问题。基本对偶和最优性条件。讨论了线性半定规划在退化性和半定面约简方面的一些进展。两个相对较新的应用领域。最后,简要概述了有关文献的算法方法,有效地解决线性和非线性半定规划。
This paper provides a short introduction to optimization problems with semidefinite constraints. Basic duality and optimality conditions are presented. For linear semidefinite programming some advances by dealing with degeneracy and the semidefinite facial reduction are discussed. Two relatively recent areas of application are presented. Finally a short overview of relevant literature on algorithmic approaches for efficiently solving linear and nonlinear semidefinite programming is provided.
一种新的非线性半定规划算法及其在多学科自由材料优化中的应用
DOI: 10.1007/978-3-7643-8923-9_16
发表时间: 2009
期刊:
影响因子: --
作者:
E. M. Stingl;G. Leugering;M. Kocvara
通讯作者: M. Kocvara
DOI: 10.1137/080717122
发表时间: 2009-03
期刊: SIAM J. Optim.
影响因子: --
作者:
M. Stingl;M. Kočvara;G. Leugering
通讯作者: M. Stingl;M. Kočvara;G. Leugering