NON-QUADRATIC EXTENSION OF HOMOGENEOUS S-LEMMA AND ITS APPLICATIONS IN OPTIMIZATION

Meijia Yang; Shu Wang; Yong Xia

doi:10.3934/jimo.2022241

NON-QUADRATIC EXTENSION OF HOMOGENEOUS S-LEMMA AND ITS APPLICATIONS IN OPTIMIZATION

Meijia Yang
, Shu Wang^*
, Yong Xia

^*此作品的通讯作者

数学科学学院

University of Science and Technology Beijing
North China Electric Power University

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

In this paper, we propose a non-quadratic extension of homogeneous S-lemma under some conditions. Then we apply the extended homogeneous S-lemma to reveal the hidden convexity property of the generalized Kantorovich inequality problem and the homogeneously lifted two-sided extended trust-region subproblem.

源语言	英语
页（从-至）	6826-6834
页数	9
期刊	Journal of Industrial and Management Optimization
卷	19
期	9
DOI	https://doi.org/10.3934/jimo.2022241
出版状态	已出版 - 9月 2023

访问文件

10.3934/jimo.2022241

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{2d8a9ee2d9234b53bac12983d07d4c59,

title = "NON-QUADRATIC EXTENSION OF HOMOGENEOUS S-LEMMA AND ITS APPLICATIONS IN OPTIMIZATION",

abstract = "In this paper, we propose a non-quadratic extension of homogeneous S-lemma under some conditions. Then we apply the extended homogeneous S-lemma to reveal the hidden convexity property of the generalized Kantorovich inequality problem and the homogeneously lifted two-sided extended trust-region subproblem.",

keywords = "Alternative theorem, hidden convexity, homogeneous S-lemma, non-quadratic extension",

author = "Meijia Yang and Shu Wang and Yong Xia",

year = "2023",

month = sep,

doi = "10.3934/jimo.2022241",

language = "英语",

volume = "19",

pages = "6826--6834",

journal = "Journal of Industrial and Management Optimization",

issn = "1547-5816",

publisher = "American Institute of Mathematical Sciences",

number = "9",

}

TY - JOUR

T1 - NON-QUADRATIC EXTENSION OF HOMOGENEOUS S-LEMMA AND ITS APPLICATIONS IN OPTIMIZATION

AU - Yang, Meijia

AU - Wang, Shu

AU - Xia, Yong

PY - 2023/9

Y1 - 2023/9

N2 - In this paper, we propose a non-quadratic extension of homogeneous S-lemma under some conditions. Then we apply the extended homogeneous S-lemma to reveal the hidden convexity property of the generalized Kantorovich inequality problem and the homogeneously lifted two-sided extended trust-region subproblem.

AB - In this paper, we propose a non-quadratic extension of homogeneous S-lemma under some conditions. Then we apply the extended homogeneous S-lemma to reveal the hidden convexity property of the generalized Kantorovich inequality problem and the homogeneously lifted two-sided extended trust-region subproblem.

KW - Alternative theorem

KW - hidden convexity

KW - homogeneous S-lemma

KW - non-quadratic extension

UR - https://www.scopus.com/pages/publications/85153315392

U2 - 10.3934/jimo.2022241

DO - 10.3934/jimo.2022241

M3 - 文章

AN - SCOPUS:85153315392

SN - 1547-5816

VL - 19

SP - 6826

EP - 6834

JO - Journal of Industrial and Management Optimization

JF - Journal of Industrial and Management Optimization

IS - 9

ER -

NON-QUADRATIC EXTENSION OF HOMOGENEOUS S-LEMMA AND ITS APPLICATIONS IN OPTIMIZATION

摘要

访问文件

其它文件与链接

指纹

引用此