000127587 001__ 127587 000127587 005__ 20241125101155.0 000127587 0247_ $$2doi$$a10.1016/j.aml.2023.108778 000127587 0248_ $$2sideral$$a134615 000127587 037__ $$aART-2023-134615 000127587 041__ $$aeng 000127587 100__ $$0(orcid)0000-0003-2156-9856$$aDelgado, Jorge$$uUniversidad de Zaragoza 000127587 245__ $$aAccurate and fast computations with Green matrices 000127587 260__ $$c2023 000127587 5060_ $$aAccess copy available to the general public$$fUnrestricted 000127587 5203_ $$aThis 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. 000127587 536__ $$9info:eu-repo/grantAgreement/ES/UZ-IBERCAJA/JIUZ-2022-CSJ-19$$9info:eu-repo/grantAgreement/ES/MICINN/RED2022-134176-T$$9info:eu-repo/grantAgreement/ES/MICINN/PID2020-112773GB-I00$$9info:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-096321-B-I00$$9info:eu-repo/grantAgreement/ES/DGA/S39-23R$$9info:eu-repo/grantAgreement/ES/DGA/E41-23R 000127587 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/ 000127587 590__ $$a2.9$$b2023 000127587 592__ $$a1.103$$b2023 000127587 591__ $$aMATHEMATICS, APPLIED$$b20 / 332 = 0.06$$c2023$$dQ1$$eT1 000127587 593__ $$aApplied Mathematics$$c2023$$dQ1 000127587 594__ $$a7.7$$b2023 000127587 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000127587 700__ $$0(orcid)0000-0002-8816-5816$$aPeña, Guillermo$$uUniversidad de Zaragoza 000127587 700__ $$0(orcid)0000-0002-1340-0666$$aPeña, Juan Manuel$$uUniversidad de Zaragoza 000127587 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000127587 7102_ $$14000$$2415$$aUniversidad de Zaragoza$$bDpto. Análisis Económico$$cÁrea Fund. Análisis Económico 000127587 773__ $$g145 (2023), 108778 [5 pp.]$$pAppl. math. lett.$$tAPPLIED MATHEMATICS LETTERS$$x0893-9659 000127587 8564_ $$s776819$$uhttps://zaguan.unizar.es/record/127587/files/texto_completo.pdf$$yVersión publicada 000127587 8564_ $$s2074007$$uhttps://zaguan.unizar.es/record/127587/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000127587 909CO $$ooai:zaguan.unizar.es:127587$$particulos$$pdriver 000127587 951__ $$a2024-11-22-12:09:02 000127587 980__ $$aARTICLE