144960 20260217205554.0 doi 10.3390/sym16081004 sideral 139729 ART-2024-139729 eng Delgado, Jorge Universidad de Zaragoza (orcid)0000-0003-2156-9856 Accurate Computations with Generalized Green Matrices 2024 Access copy available to the general public Unrestricted We consider generalized Green matrices that, in contrast to Green matrices, are not necessarily symmetric. In spite of the loss of symmetry, we show that they can preserve some nice properties of Green matrices. In particular, they admit a bidiagonal decomposition. Moreover, for convenient parameters, the bidiagonal decomposition can be obtained efficiently and with high relative accuracy and it can also be used to compute all eigenvalues, all singular values, the inverse, and the solution of some linear system of equations with high relative accuracy. Numerical examples illustrate the high accuracy of the performed computations using the bidiagonal decompositions. Finally, nonsingular and totally positive generalized Green matrices are characterized. info:eu-repo/grantAgreement/ES/AEI/PID2020-112773GB-I00 info:eu-repo/grantAgreement/ES/DGA/E41-23R info:eu-repo/grantAgreement/ES/DGA/S39-23R info:eu-repo/grantAgreement/ES/MCIU/PID2022-138569NB-I00 info:eu-repo/grantAgreement/ES/MCIU/RED2022-134176-T info:eu-repo/semantics/openAccess by https://creativecommons.org/licenses/by/4.0/deed.es 2.2 2024 MULTIDISCIPLINARY SCIENCES 54 / 136 = 0.397 2024 Q2 T2 0.467 2024 Chemistry (miscellaneous) 2024 Q2 Physics and Astronomy (miscellaneous) 2024 Q2 Mathematics (miscellaneous) 2024 Q2 Computer Science (miscellaneous) 2024 Q2 5.3 2024 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 16, 8 (2024), 1004 [12 pp.] Symmetry (Basel) Symmetry 2073-8994 877164 http://zaguan.unizar.es/record/144960/files/texto_completo.pdf Versión publicada 2612829 http://zaguan.unizar.es/record/144960/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:144960 articulos driver 2026-02-17-20:41:52 ARTICLE