Linear pencils and quadratic programming problems with a quadratic constraint

Gonzalez Zerbo, Santiago; Maestripieri, Alejandra Laura; Martinez Peria, Francisco Dardo

doi:10.1016/j.laa.2023.01.029

Artículo

Linear pencils and quadratic programming problems with a quadratic constraint

Gonzalez Zerbo, Santiago Icon

; Maestripieri, Alejandra Laura Icon

; Martinez Peria, Francisco Dardo Icon

Fecha de publicación: 15/05/2023

Editorial: Elsevier Science Inc.

Revista: Linear Algebra and its Applications

ISSN: 0024-3795

Idioma: Inglés

Tipo de recurso: Artículo publicado

Clasificación temática:

Matemática Pura

Resumen

Given bounded selfadjoint operators A and B acting on a Hilbert space, consider the linear pencil P(λ)=A+λB, λ in R. The set of parameters λ such that P(λ) is a positive (semi)definite operator is characterized. These results are applied to solving a quadratic programming problem with an equality quadratic constraint (or a QP1EQC problem).

Palabras clave: LINEAR PENCIL , POSITIVE DEFINITE OPERATOR , QUADRATIC PROGRAMMING

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Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)

Identificadores

URI: http://hdl.handle.net/11336/224651

DOI: http://dx.doi.org/10.1016/j.laa.2023.01.029

URL: https://www.sciencedirect.com/science/article/abs/pii/S0024379523000356?via%3Dih

Colecciones

Articulos(IAM)
Articulos de INST.ARG.DE MATEMATICAS "ALBERTO CALDERON"

Citación

Gonzalez Zerbo, Santiago; Maestripieri, Alejandra Laura; Martinez Peria, Francisco Dardo; Linear pencils and quadratic programming problems with a quadratic constraint; Elsevier Science Inc.; Linear Algebra and its Applications; 665; 15-5-2023; 12-35

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