127587 20241125101155.0 doi 10.1016/j.aml.2023.108778 sideral 134615 ART-2023-134615 eng Delgado, Jorge Universidad de Zaragoza (orcid)0000-0003-2156-9856 Accurate and fast computations with Green matrices 2023 Access copy available to the general public Unrestricted This paper provides a linear time complexity method to obtain the bidiagonal decomposition of Green matrices with high relative accuracy. In addition, when the Green matrix is nonsingular and totally positive, this bidiagonal decomposition can be used to compute the eigenvalues, the inverse and the solution of some linear system of equations with high relative accuracy. A numerical example illustrates the advantages of this method. info:eu-repo/grantAgreement/ES/DGA/E41-23R info:eu-repo/grantAgreement/ES/DGA/S39-23R info:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-096321-B-I00 info:eu-repo/grantAgreement/ES/MICINN/PID2020-112773GB-I00 info:eu-repo/grantAgreement/ES/MICINN/RED2022-134176-T info:eu-repo/grantAgreement/ES/UZ-IBERCAJA/JIUZ-2022-CSJ-19 info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 2.9 2023 MATHEMATICS, APPLIED 20 / 332 = 0.06 2023 Q1 T1 1.103 2023 Applied Mathematics 2023 Q1 7.7 2023 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peña, Guillermo Universidad de Zaragoza (orcid)0000-0002-8816-5816 Peña, Juan Manuel Universidad de Zaragoza (orcid)0000-0002-1340-0666 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 4000 415 Universidad de Zaragoza Dpto. Análisis Económico Área Fund. Análisis Económico 145 (2023), 108778 [5 pp.] Appl. math. lett. APPLIED MATHEMATICS LETTERS 0893-9659 776819 http://zaguan.unizar.es/record/127587/files/texto_completo.pdf Versión publicada 2074007 http://zaguan.unizar.es/record/127587/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:127587 articulos driver 2024-11-22-12:09:02 ARTICLE