对称锥互补问题的一类新的互补函数及其价值函数的水平有界性

doi:10.13371/j.cnki.chin.q.j.m.2014.03.006

数学季刊 ›› 2014, Vol. 29 ›› Issue (3): 363-372.doi: 10.13371/j.cnki.chin.q.j.m.2014.03.006

对称锥互补问题的一类新的互补函数及其价值函数的水平有界性

School of Transportation, Southeast University

收稿日期:2012-08-28 出版日期:2014-09-30 发布日期:2020-11-30
作者简介:ZHANG Yun-sheng(1982-), male, native of Enshi, Hubei, a PhD student of Southeast University, engages in optimization application and transportation engineering.
基金资助:
Support by the NNSF of China(40804015,61101163)；

A New Class of Complementarity Function and the Boundedness of Its Merit Function for Symmetric Cone Complementarity Problem

School of Transportation, Southeast University

Received:2012-08-28 Online:2014-09-30 Published:2020-11-30
About author:ZHANG Yun-sheng(1982-), male, native of Enshi, Hubei, a PhD student of Southeast University, engages in optimization application and transportation engineering.
Supported by:
Support by the NNSF of China(40804015,61101163)；

摘要/Abstract

摘要： In this paper, we introduce a new class of two-parametric penalized function,which includes the penalized minimum function and the penalized Fischer-Burmeister function over symmetric cone complementarity problems. We propose that this class of function is a class of complementarity functions（C-function）. Moreover, its merit function has bounded level set under a weak condition.

关键词: complementarity problem, symmetric cone, C-functions, R01 function, boundedness, Euclidean Jordan algebra

Abstract: In this paper, we introduce a new class of two-parametric penalized function,which includes the penalized minimum function and the penalized Fischer-Burmeister function over symmetric cone complementarity problems. We propose that this class of function is a class of complementarity functions（C-function）. Moreover, its merit function has bounded level set under a weak condition.

Key words: complementarity problem, symmetric cone, C-functions, R01 function, boundedness, Euclidean Jordan algebra

中图分类号:

O221

张运胜. 对称锥互补问题的一类新的互补函数及其价值函数的水平有界性[J]. 数学季刊, 2014, 29(3): 363-372.

ZHANG Yun-sheng. A New Class of Complementarity Function and the Boundedness of Its Merit Function for Symmetric Cone Complementarity Problem[J]. Chinese Quarterly Journal of Mathematics, 2014, 29(3): 363-372.

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对称锥互补问题的一类新的互补函数及其价值函数的水平有界性

A New Class of Complementarity Function and the Boundedness of Its Merit Function for Symmetric Cone Complementarity Problem

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