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<p>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).</p>

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Quadratic programming with one quadratic constraint in Hilbert spaces

  • 期刊论文

  • 发表日期：

    2025年4月15日

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  • Santiago Gonzalez Zerbo,
  • Alejandra Maestripieri,
  • Francisco Martínez Pería

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).