Optimized resolution of systems of equations

Autores
Maguitman, Ana Gabriela; Brignole, Nélida B.; Xamena, Eduardo
Año de publicación
2012
Idioma
inglés
Tipo de recurso
documento de conferencia
Estado
versión publicada
Descripción
Sparse systems of equations are an essential part of real mod- els, being decisive in simulation or optimization. By increasing the prob- lems size or going closer to reality, these systems increase in complexity and size. There are several proven methods to solve them e ciently, and it is known that a structural reorganization can enhance e ciency. We propose an improvement to the Extended Direct Method algorithm as a preprocessor of the adjacency matrix associated with the system. This method was originated in the Design of Chemical Plant Instrumentation, expanding the functions of its predecessor, the Direct Method, which did not take into account the degree of nonlinearity of model equations and variables.
Eje: Workshop Teóricos de ciencia de la computación (WATCC)
Red de Universidades con Carreras en Informática (RedUNCI)
Materia
Ciencias Informáticas
Systems of equations
Nonlinearity
Partitioning
Optimization
Simulation
Theory of Computation
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/23808

id SEDICI_13b75b4341f2331878794e8346c182f7
oai_identifier_str oai:sedici.unlp.edu.ar:10915/23808
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Optimized resolution of systems of equationsMaguitman, Ana GabrielaBrignole, Nélida B.Xamena, EduardoCiencias InformáticasSystems of equationsNonlinearityPartitioningOptimizationSimulationTheory of ComputationSparse systems of equations are an essential part of real mod- els, being decisive in simulation or optimization. By increasing the prob- lems size or going closer to reality, these systems increase in complexity and size. There are several proven methods to solve them e ciently, and it is known that a structural reorganization can enhance e ciency. We propose an improvement to the Extended Direct Method algorithm as a preprocessor of the adjacency matrix associated with the system. This method was originated in the Design of Chemical Plant Instrumentation, expanding the functions of its predecessor, the Direct Method, which did not take into account the degree of nonlinearity of model equations and variables.Eje: Workshop Teóricos de ciencia de la computación (WATCC)Red de Universidades con Carreras en Informática (RedUNCI)2012-10info:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/publishedVersionObjeto de conferenciahttp://purl.org/coar/resource_type/c_5794info:ar-repo/semantics/documentoDeConferenciaapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/23808enginfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/2.5/ar/Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Argentina (CC BY-NC-SA 2.5)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-15T10:48:14Zoai:sedici.unlp.edu.ar:10915/23808Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-15 10:48:14.351SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Optimized resolution of systems of equations
title Optimized resolution of systems of equations
spellingShingle Optimized resolution of systems of equations
Maguitman, Ana Gabriela
Ciencias Informáticas
Systems of equations
Nonlinearity
Partitioning
Optimization
Simulation
Theory of Computation
title_short Optimized resolution of systems of equations
title_full Optimized resolution of systems of equations
title_fullStr Optimized resolution of systems of equations
title_full_unstemmed Optimized resolution of systems of equations
title_sort Optimized resolution of systems of equations
dc.creator.none.fl_str_mv Maguitman, Ana Gabriela
Brignole, Nélida B.
Xamena, Eduardo
author Maguitman, Ana Gabriela
author_facet Maguitman, Ana Gabriela
Brignole, Nélida B.
Xamena, Eduardo
author_role author
author2 Brignole, Nélida B.
Xamena, Eduardo
author2_role author
author
dc.subject.none.fl_str_mv Ciencias Informáticas
Systems of equations
Nonlinearity
Partitioning
Optimization
Simulation
Theory of Computation
topic Ciencias Informáticas
Systems of equations
Nonlinearity
Partitioning
Optimization
Simulation
Theory of Computation
dc.description.none.fl_txt_mv Sparse systems of equations are an essential part of real mod- els, being decisive in simulation or optimization. By increasing the prob- lems size or going closer to reality, these systems increase in complexity and size. There are several proven methods to solve them e ciently, and it is known that a structural reorganization can enhance e ciency. We propose an improvement to the Extended Direct Method algorithm as a preprocessor of the adjacency matrix associated with the system. This method was originated in the Design of Chemical Plant Instrumentation, expanding the functions of its predecessor, the Direct Method, which did not take into account the degree of nonlinearity of model equations and variables.
Eje: Workshop Teóricos de ciencia de la computación (WATCC)
Red de Universidades con Carreras en Informática (RedUNCI)
description Sparse systems of equations are an essential part of real mod- els, being decisive in simulation or optimization. By increasing the prob- lems size or going closer to reality, these systems increase in complexity and size. There are several proven methods to solve them e ciently, and it is known that a structural reorganization can enhance e ciency. We propose an improvement to the Extended Direct Method algorithm as a preprocessor of the adjacency matrix associated with the system. This method was originated in the Design of Chemical Plant Instrumentation, expanding the functions of its predecessor, the Direct Method, which did not take into account the degree of nonlinearity of model equations and variables.
publishDate 2012
dc.date.none.fl_str_mv 2012-10
dc.type.none.fl_str_mv info:eu-repo/semantics/conferenceObject
info:eu-repo/semantics/publishedVersion
Objeto de conferencia
http://purl.org/coar/resource_type/c_5794
info:ar-repo/semantics/documentoDeConferencia
format conferenceObject
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/23808
url http://sedici.unlp.edu.ar/handle/10915/23808
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Argentina (CC BY-NC-SA 2.5)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Argentina (CC BY-NC-SA 2.5)
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
_version_ 1846063909795004416
score 13.22299