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Accurate matrix exponential computation to solve coupled differential models in engineering

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Accurate matrix exponential computation to solve coupled differential models in engineering

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dc.contributor.author Sastre, Jorge es_ES
dc.contributor.author Ibáñez González, Jacinto Javier es_ES
dc.contributor.author Defez Candel, Emilio es_ES
dc.contributor.author Ruiz Martínez, Pedro Antonio es_ES
dc.date.accessioned 2014-09-15T18:19:05Z
dc.date.issued 2011-10
dc.identifier.issn 0895-7177
dc.identifier.uri http://hdl.handle.net/10251/39666
dc.description NOTICE: this is the author’s version of a work that was accepted for publication in Mathematical and Computer Modelling. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Mathematical and Computer Modelling [Volume 54, Issues 7–8, October 2011] DOI: 10.1016/j.mcm.2010.12.049 es_ES
dc.description.abstract The matrix exponential plays a fundamental role in linear systems arising in engineering, mechanics and control theory. This work presents a new scaling-squaring algorithm for matrix exponential computation. It uses forward and backward error analysis with improved bounds for normal and nonnormal matrices. Applied to the Taylor method, it has presented a lower or similar cost compared to the state-of-the-art Padé algorithms with better accuracy results in the majority of test matrices, avoiding Padé's denominator condition problems. © 2011 Elsevier Ltd. es_ES
dc.description.sponsorship This work has been supported by Universidad Politecnica de Valencia grants PAID-05-09-4338, PAID-06-08-3307 and Spanish Ministerio de Educacion grant MTM2009-08587. en_EN
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation.ispartof Mathematical and Computer Modelling es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Matrix exponential es_ES
dc.subject Scaling and squaring es_ES
dc.subject Taylor series es_ES
dc.subject.classification CIENCIAS DE LA COMPUTACION E INTELIGENCIA ARTIFICIAL es_ES
dc.subject.classification LENGUAJES Y SISTEMAS INFORMATICOS es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.subject.classification TEORIA DE LA SEÑAL Y COMUNICACIONES es_ES
dc.title Accurate matrix exponential computation to solve coupled differential models in engineering es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.mcm.2010.12.049
dc.relation.projectID info:eu-repo/grantAgreement/UPV//PAID-06-08-3307/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/UPV//PAID-05-09-4338/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2009-08587/ES/Ecuaciones Diferenciales Aleatorias Y Aplicaciones/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Comunicaciones - Departament de Comunicacions es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Sistemas Informáticos y Computación - Departament de Sistemes Informàtics i Computació es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Sastre, J.; Ibáñez González, JJ.; Defez Candel, E.; Ruiz Martínez, PA. (2011). Accurate matrix exponential computation to solve coupled differential models in engineering. Mathematical and Computer Modelling. 54(7-8):1835-1840. https://doi.org/10.1016/j.mcm.2010.12.049 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1016/j.mcm.2010.12.049 es_ES
dc.description.upvformatpinicio 1835 es_ES
dc.description.upvformatpfin 1840 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 54 es_ES
dc.description.issue 7-8 es_ES
dc.relation.senia 41379
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.contributor.funder Universitat Politècnica de València es_ES


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