Optimality conditions for homogeneous polynomial optimization on the unit sphere

doi:10.1007/s11590-022-01940-3

CSpace

	Optimality conditions for homogeneous polynomial optimization on the unit sphere
	Huang, Lei 1,2
	2022-10-07
发表期刊	OPTIMIZATION LETTERS
ISSN	1862-4472
页码	8
摘要	In this note, we prove that for homogeneous polynomial optimization on the sphere, if the objective f is generic in the input space, all feasible points satisfying the first order and second order necessary optimality conditions are local minimizers, which addresses an issue raised in the recent work by Lasserre (Optimization Letters, 2021). As a corollary, this implies that Lasserre's hierarchy has finite convergence when f is generic.
关键词	Homogeneous polynomials Optimization on the unit sphere Optimality conditions
DOI	10.1007/s11590-022-01940-3
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11688101] ; National Natural Science Foundation of China[12288201]
WOS研究方向	Operations Research & Management Science ; Mathematics
WOS类目	Operations Research & Management Science ; Mathematics, Applied
WOS记录号	WOS:000864961200001
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60933
专题	中国科学院数学与系统科学研究院
通讯作者	Huang, Lei
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Huang, Lei. Optimality conditions for homogeneous polynomial optimization on the unit sphere[J]. OPTIMIZATION LETTERS,2022:8.
APA	Huang, Lei.(2022).Optimality conditions for homogeneous polynomial optimization on the unit sphere.OPTIMIZATION LETTERS,8.
MLA	Huang, Lei."Optimality conditions for homogeneous polynomial optimization on the unit sphere".OPTIMIZATION LETTERS (2022):8.