English

Quadratic programming with one quadratic constraint in Hilbert spaces

Optimization and Control 2023-03-10 v1 Functional Analysis

Abstract

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).

Keywords

Cite

@article{arxiv.2303.05204,
  title  = {Quadratic programming with one quadratic constraint in Hilbert spaces},
  author = {Santiago Gonzalez Zerbo and Alejandra Maestripieri and Francisco Martínez Pería},
  journal= {arXiv preprint arXiv:2303.05204},
  year   = {2023}
}

Comments

21 pages, comments are welcomed!

R2 v1 2026-06-28T09:09:06.792Z