Quadratic programming with one quadratic constraint in Hilbert spaces

被引：0
作者：
Santiago Gonzalez Zerbo [1 ]
Alejandra Maestripieri [1 ]
Francisco Martínez Pería [1 ]
机构：
[1] Instituto Argentino de Matemática “Alberto P. Calderón”, CONICET, Saavedra 15, Piso 3, Buenos Aires
[2] Centro de Matemática de La Plata, Facultad de Cs. Exactas – UNLP, Calle 47 esq. 115, La Plata
来源：
Annals of Functional Analysis | 2025年 / 16卷 / 2期
关键词：
Hilbert spaces; Operator pencils; Quadratically constrained quadratic programming;
D O I：
10.1007/s43034-025-00422-8
中图分类号：
学科分类号：
摘要：
A quadratically constrained quadratic programming problem is considered in a Hilbert space setting, where neither the objective nor the constraint are convex functions. Necessary and sufficient conditions are provided to guarantee that the problem admits solutions for every initial data (in an adequate set). © Tusi Mathematical Research Group (TMRG) 2025.
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