Complementarity Problems Over Symmetric Cones: A Survey of Recent Developments in Several Aspects
Complementarity Problems Over Symmetric Cones: A Survey of Recent Developments in Several Aspects
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DOI：
10.1007/978-1-4614-0769-0_12
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
Akiko Yoshise
中科院分区：
文献类型：
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作者：
Akiko Yoshise
对称二次曲线上的互补问题（我们称之为对称二次曲线互补问题，或SCCP）在过去的十年里受到了研究者的广泛关注。对SCCP的许多研究可以分为三个研究主题，SCCP的内点方法，SCCP的价值或光滑函数方法，以及SCCP的各种性质。在本文中，我们将简要介绍这三个主题的最新发展。
The complementarity problem over a symmetric conic (that we call the Symmetric Conic Complementarity Problem, or the SCCP) has received much attention of researchers in the last decade. Many of studies done on the SCCP can be categorized into the three research themes, interior point methods for the SCCP, merit or smoothing function methods for the SCCP, and various properties of the SCCP. In this paper, we will provide a brief survey on the recent developments on these three themes.