000144960 001__ 144960 000144960 005__ 20250923084438.0 000144960 0247_ $$2doi$$a10.3390/sym16081004 000144960 0248_ $$2sideral$$a139729 000144960 037__ $$aART-2024-139729 000144960 041__ $$aeng 000144960 100__ $$0(orcid)0000-0003-2156-9856$$aDelgado, Jorge$$uUniversidad de Zaragoza 000144960 245__ $$aAccurate Computations with Generalized Green Matrices 000144960 260__ $$c2024 000144960 5060_ $$aAccess copy available to the general public$$fUnrestricted 000144960 5203_ $$aWe 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. 000144960 536__ $$9info:eu-repo/grantAgreement/ES/AEI/PID2020-112773GB-I00$$9info:eu-repo/grantAgreement/ES/DGA/E41-23R$$9info:eu-repo/grantAgreement/ES/DGA/S39-23R$$9info:eu-repo/grantAgreement/ES/MCIU/PID2022-138569NB-I00$$9info:eu-repo/grantAgreement/ES/MCIU/RED2022-134176-T 000144960 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/ 000144960 590__ $$a2.2$$b2024 000144960 592__ $$a0.467$$b2024 000144960 591__ $$aMULTIDISCIPLINARY SCIENCES$$b54 / 135 = 0.4$$c2024$$dQ2$$eT2 000144960 593__ $$aChemistry (miscellaneous)$$c2024$$dQ2 000144960 593__ $$aPhysics and Astronomy (miscellaneous)$$c2024$$dQ2 000144960 593__ $$aMathematics (miscellaneous)$$c2024$$dQ2 000144960 593__ $$aComputer Science (miscellaneous)$$c2024$$dQ2 000144960 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000144960 700__ $$0(orcid)0000-0002-8816-5816$$aPeña, Guillermo$$uUniversidad de Zaragoza 000144960 700__ $$0(orcid)0000-0002-1340-0666$$aPeña, Juan Manuel$$uUniversidad de Zaragoza 000144960 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000144960 7102_ $$14000$$2415$$aUniversidad de Zaragoza$$bDpto. Análisis Económico$$cÁrea Fund. Análisis Económico 000144960 773__ $$g16, 8 (2024), 1004 [12 pp.]$$pSymmetry (Basel)$$tSymmetry$$x2073-8994 000144960 8564_ $$s877164$$uhttps://zaguan.unizar.es/record/144960/files/texto_completo.pdf$$yVersión publicada 000144960 8564_ $$s2612829$$uhttps://zaguan.unizar.es/record/144960/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000144960 909CO $$ooai:zaguan.unizar.es:144960$$particulos$$pdriver 000144960 951__ $$a2025-09-22-14:48:19 000144960 980__ $$aARTICLE