Revista de Matemática: Teoría y Aplicaciones ISSN Impreso: 1409-2433 ISSN electrónico: 2215-3373

OAI: https://revistas.ucr.ac.cr/index.php/matematica/oai
Métodos de punto interior para optimización cuadrática convexa con matrices no definidas positivas
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Keywords

convex quadratic programming
second-order cones
interior point methods
programación cuadrática convexa
conos de segundo orden
métodos de punto interior

How to Cite

Palencia F., G., Hing C., R., Rojas C., M., & Medina S., D. (2008). Métodos de punto interior para optimización cuadrática convexa con matrices no definidas positivas. Revista De Matemática: Teoría Y Aplicaciones, 15(1), 1–12. https://doi.org/10.15517/rmta.v15i1.284

Abstract

In this article a modification of the recursive algorithm of Cholesky is obtained that allows the factorization of Semi Definite Positive Matrices, even though these are not positive defined, without increasing the computational cost. Thanks to this factorization Convex Quadratic Programming Problems are transformed into Second Order Conical Problems, which are solved with the aid of the generalization of the Predictor-Corrector algorithm of Mehrotra for these problems. There are carried out numeric experiments for validating the results.

https://doi.org/10.15517/rmta.v15i1.284
PDF (Español (España))

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