Stationary point conditions for the FB merit function associated with symmetric cones

Shaohua Pan; Yu Lin Chang; Jein Shan Chen

doi:10.1016/j.orl.2010.07.011

Stationary point conditions for the FB merit function associated with symmetric cones

Shaohua Pan
, Yu Lin Chang
, Jein Shan Chen^*

^*此作品的通信作者

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

7 引文斯高帕斯（Scopus）

摘要

For the symmetric cone complementarity problem, we show that each stationary point of the unconstrained minimization reformulation based on the FischerBurmeister merit function is a solution to the problem, provided that the gradient operators of the mappings involved in the problem satisfy column monotonicity or have the Cartesian P0-property. These results answer the open question proposed in the article that appeared in Journal of Mathematical Analysis and Applications 355 (2009) 195215.

原文	英語
頁（從 - 到）	372-377
頁數	6
期刊	Operations Research Letters
卷	38
發行號	5
DOIs	https://doi.org/10.1016/j.orl.2010.07.011
出版狀態	已發佈 - 2010 9月

ASJC Scopus subject areas

軟體
管理科學與經營研究
工業與製造工程
應用數學

存取文件

10.1016/j.orl.2010.07.011

其它文件與鏈接

引用此

@article{e5c9c4a76d9a4967b9148f2761fb4ca6,

title = "Stationary point conditions for the FB merit function associated with symmetric cones",

abstract = "For the symmetric cone complementarity problem, we show that each stationary point of the unconstrained minimization reformulation based on the FischerBurmeister merit function is a solution to the problem, provided that the gradient operators of the mappings involved in the problem satisfy column monotonicity or have the Cartesian P0-property. These results answer the open question proposed in the article that appeared in Journal of Mathematical Analysis and Applications 355 (2009) 195215.",

keywords = "FischerBurmeister merit function, Stationary points, Symmetric cones",

author = "Shaohua Pan and Chang, \{Yu Lin\} and Chen, \{Jein Shan\}",

note = "Funding Information: The authors thank the referees for their carefully reading of this paper and helpful suggestions. The first author{\textquoteright}s work is supported by National Young Natural Science Foundation (No. 10901058 ) and Guangdong Natural Science Foundation (No. 9251802902000001 ). The third author is a member of Mathematics Division, National Center for Theoretical Sciences, Taipei Office and his work is supported by National Science Council of Taiwan . ",

year = "2010",

month = sep,

doi = "10.1016/j.orl.2010.07.011",

language = "English",

volume = "38",

pages = "372--377",

journal = "Operations Research Letters",

issn = "0167-6377",

publisher = "Elsevier BV",

number = "5",

}

TY - JOUR

T1 - Stationary point conditions for the FB merit function associated with symmetric cones

AU - Pan, Shaohua

AU - Chang, Yu Lin

AU - Chen, Jein Shan

N1 - Funding Information: The authors thank the referees for their carefully reading of this paper and helpful suggestions. The first author’s work is supported by National Young Natural Science Foundation (No. 10901058 ) and Guangdong Natural Science Foundation (No. 9251802902000001 ). The third author is a member of Mathematics Division, National Center for Theoretical Sciences, Taipei Office and his work is supported by National Science Council of Taiwan .

PY - 2010/9

Y1 - 2010/9

N2 - For the symmetric cone complementarity problem, we show that each stationary point of the unconstrained minimization reformulation based on the FischerBurmeister merit function is a solution to the problem, provided that the gradient operators of the mappings involved in the problem satisfy column monotonicity or have the Cartesian P0-property. These results answer the open question proposed in the article that appeared in Journal of Mathematical Analysis and Applications 355 (2009) 195215.

AB - For the symmetric cone complementarity problem, we show that each stationary point of the unconstrained minimization reformulation based on the FischerBurmeister merit function is a solution to the problem, provided that the gradient operators of the mappings involved in the problem satisfy column monotonicity or have the Cartesian P0-property. These results answer the open question proposed in the article that appeared in Journal of Mathematical Analysis and Applications 355 (2009) 195215.

KW - FischerBurmeister merit function

KW - Stationary points

KW - Symmetric cones

UR - https://www.scopus.com/pages/publications/77956344033

UR - https://www.scopus.com/pages/publications/77956344033#tab=citedBy

U2 - 10.1016/j.orl.2010.07.011

DO - 10.1016/j.orl.2010.07.011

M3 - Article

AN - SCOPUS:77956344033

SN - 0167-6377

VL - 38

SP - 372

EP - 377

JO - Operations Research Letters

JF - Operations Research Letters

IS - 5

ER -

Stationary point conditions for the FB merit function associated with symmetric cones

摘要

ASJC Scopus subject areas

存取文件

其它文件與鏈接

指紋

引用此