The solvabilities of three optimization problems associated with second-order cone

Xinhe Miao; Wei Ming Hsu; Chieu Thanh Nguyen; Jein Shan Chen

The solvabilities of three optimization problems associated with second-order cone

Xinhe Miao
, Wei Ming Hsu
, Chieu Thanh Nguyen
, Jein Shan Chen

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

In this paper, we study the solvabilities of three optimization problems associated with second-order cone, including the absolute value equations associated with second-order cone (SOCAVE), eigenvalue complementarity problem associated with second-order cone (SOCEiCP), and quadratic eigenvalue complementarity problem associated with second-order cone (SOCQEiCP). More specifically, we characterize under what conditions these optimizations have solution and unique solution, respectively.

原文	英語
頁（從 - 到）	937-967
頁數	31
期刊	Journal of Nonlinear and Convex Analysis
卷	22
發行號	5
出版狀態	已發佈 - 2021

ASJC Scopus subject areas

分析
幾何和拓撲
控制和優化
應用數學

其它文件與鏈接

引用此

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abstract = "In this paper, we study the solvabilities of three optimization problems associated with second-order cone, including the absolute value equations associated with second-order cone (SOCAVE), eigenvalue complementarity problem associated with second-order cone (SOCEiCP), and quadratic eigenvalue complementarity problem associated with second-order cone (SOCQEiCP). More specifically, we characterize under what conditions these optimizations have solution and unique solution, respectively.",

keywords = "Absolute value equations, Eigenvalue, Second-order cone, Solvability",

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T1 - The solvabilities of three optimization problems associated with second-order cone

AU - Miao, Xinhe

AU - Hsu, Wei Ming

AU - Nguyen, Chieu Thanh

AU - Chen, Jein Shan

PY - 2021

Y1 - 2021

N2 - In this paper, we study the solvabilities of three optimization problems associated with second-order cone, including the absolute value equations associated with second-order cone (SOCAVE), eigenvalue complementarity problem associated with second-order cone (SOCEiCP), and quadratic eigenvalue complementarity problem associated with second-order cone (SOCQEiCP). More specifically, we characterize under what conditions these optimizations have solution and unique solution, respectively.

AB - In this paper, we study the solvabilities of three optimization problems associated with second-order cone, including the absolute value equations associated with second-order cone (SOCAVE), eigenvalue complementarity problem associated with second-order cone (SOCEiCP), and quadratic eigenvalue complementarity problem associated with second-order cone (SOCQEiCP). More specifically, we characterize under what conditions these optimizations have solution and unique solution, respectively.

KW - Absolute value equations

KW - Eigenvalue

KW - Second-order cone

KW - Solvability

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UR - https://www.scopus.com/pages/publications/85096544723#tab=citedBy

M3 - Article

AN - SCOPUS:85096544723

SN - 1345-4773

VL - 22

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JO - Journal of Nonlinear and Convex Analysis

JF - Journal of Nonlinear and Convex Analysis

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ER -

The solvabilities of three optimization problems associated with second-order cone

摘要

ASJC Scopus subject areas

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