A Probabilistic Symbolic Algorithm to Find the Minimum of a Polynomial Function on a Basic Closed Semialgebraic Set

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We consider the problem of computing the minimum of a polynomial function (Formula presented.) on a basic closed semialgebraic set (Formula presented.). We present a probabilistic symbolic algorithm to find a finite set of sample points of the subset (Formula presented.) of (Formula presented.) wher...

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Autores principales: Jeronimo, G., Perrucci, D.
Formato: INPR
Materias:
Complexity
Deformation techniques
Polynomial optimization
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_01795376_v_n_p_Jeronimo
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_01795376_v_n_p_Jeronimo
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spelling todo:paper_01795376_v_n_p_Jeronimo2023-10-03T15:08:35Z A Probabilistic Symbolic Algorithm to Find the Minimum of a Polynomial Function on a Basic Closed Semialgebraic Set Jeronimo, G. Perrucci, D. Complexity Deformation techniques Polynomial optimization We consider the problem of computing the minimum of a polynomial function (Formula presented.) on a basic closed semialgebraic set (Formula presented.). We present a probabilistic symbolic algorithm to find a finite set of sample points of the subset (Formula presented.) of (Formula presented.) where the minimum of (Formula presented.) is attained, provided that (Formula presented.) is non-empty and has at least one compact connected component. © 2014 Springer Science+Business Media New York. Fil:Perrucci, D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. INPR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_01795376_v_n_p_Jeronimo
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Complexity
Deformation techniques
Polynomial optimization
spellingShingle Complexity
Deformation techniques
Polynomial optimization
Jeronimo, G.
Perrucci, D.
A Probabilistic Symbolic Algorithm to Find the Minimum of a Polynomial Function on a Basic Closed Semialgebraic Set
topic_facet Complexity
Deformation techniques
Polynomial optimization
description We consider the problem of computing the minimum of a polynomial function (Formula presented.) on a basic closed semialgebraic set (Formula presented.). We present a probabilistic symbolic algorithm to find a finite set of sample points of the subset (Formula presented.) of (Formula presented.) where the minimum of (Formula presented.) is attained, provided that (Formula presented.) is non-empty and has at least one compact connected component. © 2014 Springer Science+Business Media New York.
format INPR
author Jeronimo, G.
Perrucci, D.
author_facet Jeronimo, G.
Perrucci, D.
author_sort Jeronimo, G.
title A Probabilistic Symbolic Algorithm to Find the Minimum of a Polynomial Function on a Basic Closed Semialgebraic Set
title_short A Probabilistic Symbolic Algorithm to Find the Minimum of a Polynomial Function on a Basic Closed Semialgebraic Set
title_full A Probabilistic Symbolic Algorithm to Find the Minimum of a Polynomial Function on a Basic Closed Semialgebraic Set
title_fullStr A Probabilistic Symbolic Algorithm to Find the Minimum of a Polynomial Function on a Basic Closed Semialgebraic Set
title_full_unstemmed A Probabilistic Symbolic Algorithm to Find the Minimum of a Polynomial Function on a Basic Closed Semialgebraic Set
title_sort probabilistic symbolic algorithm to find the minimum of a polynomial function on a basic closed semialgebraic set
url http://hdl.handle.net/20.500.12110/paper_01795376_v_n_p_Jeronimo
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AT jeronimog probabilisticsymbolicalgorithmtofindtheminimumofapolynomialfunctiononabasicclosedsemialgebraicset
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