000127657 001__ 127657 000127657 005__ 20241125101143.0 000127657 0247_ $$2doi$$a10.3390/axioms12080774 000127657 0248_ $$2sideral$$a134769 000127657 037__ $$aART-2023-134769 000127657 041__ $$aeng 000127657 100__ $$0(orcid)0000-0003-2156-9856$$aDelgado, Jorge$$uUniversidad de Zaragoza 000127657 245__ $$aGreen Matrices, Minors and Hadamard Products 000127657 260__ $$c2023 000127657 5060_ $$aAccess copy available to the general public$$fUnrestricted 000127657 5203_ $$aGreen matrices are interpreted as discrete version of Green functions and are used when working with inhomogeneous linear system of differential equations. This paper discusses accurate algebraic computations using a recent procedure to achieve an important factorization of these matrices with high relative accuracy and using alternative accurate methods. An algorithm to compute any minor of a Green matrix with high relative accuracy is also presented. The bidiagonal decomposition of the Hadamard product of Green matrices is obtained. Illustrative numerical examples are included. 000127657 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E41-23R$$9info:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-096321-B-I00$$9info:eu-repo/grantAgreement/ES/MICINN/RED2022-134176-T 000127657 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/ 000127657 590__ $$a1.9$$b2023 000127657 592__ $$a0.0$$b2023 000127657 591__ $$aMATHEMATICS, APPLIED$$b66 / 332 = 0.199$$c2023$$dQ1$$eT1 000127657 593__ $$aAlgebra and Number Theory$$c2023 000127657 593__ $$aAnalysis$$c2023 000127657 593__ $$aMathematical Physics$$c2023 000127657 593__ $$aLogic$$c2023 000127657 593__ $$aGeometry and Topology$$c2023 000127657 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000127657 700__ $$0(orcid)0000-0002-8816-5816$$aPeña, Guillermo$$uUniversidad de Zaragoza 000127657 700__ $$0(orcid)0000-0002-1340-0666$$aPeña, Juan Manuel$$uUniversidad de Zaragoza 000127657 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000127657 7102_ $$14000$$2415$$aUniversidad de Zaragoza$$bDpto. Análisis Económico$$cÁrea Fund. Análisis Económico 000127657 773__ $$g12, 8 (2023), 774 [16 pp.]$$pAxioms$$tAxioms$$x2075-1680 000127657 8564_ $$s633051$$uhttps://zaguan.unizar.es/record/127657/files/texto_completo.pdf$$yVersión publicada 000127657 8564_ $$s2391288$$uhttps://zaguan.unizar.es/record/127657/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000127657 909CO $$ooai:zaguan.unizar.es:127657$$particulos$$pdriver 000127657 951__ $$a2024-11-22-12:03:31 000127657 980__ $$aARTICLE