000171223 001__ 171223
000171223 005__ 20260515163946.0
000171223 0247_ $$2doi$$a10.1016/j.laa.2026.05.001
000171223 0248_ $$2sideral$$a149309
000171223 037__ $$aART-2026-149309
000171223 041__ $$aeng
000171223 100__ $$0(orcid)0000-0002-6497-7158$$aKhiar, Y.$$uUniversidad de Zaragoza
000171223 245__ $$aAccurate spectral computations and error analysis for r-geometric Min and Max matrices
000171223 260__ $$c2026
000171223 5060_ $$aAccess copy available to the general public$$fUnrestricted
000171223 5203_ $$aIn this work, we introduce a new two-parameter family of structured matrices, termed r-geometric Min and Max matrices, which generalize both the r-Min/r-Max and geometric Min/Max matrices. We derive explicit bidiagonal factorizations for these matrices using Neville elimination and establish necessary and sufficient conditions under which they are totally positive. Under these conditions, we develop algorithms capable of computing their eigenvalues and singular values to high relative accuracy, as well as closed-form expressions for their determinants. We also apply perturbation theory to analyze the sensitivity of these problems to input data, deriving structured condition numbers that quantify the impact of data perturbations. Numerical experiments confirm the theoretical results and demonstrate the reliability and efficiency of the proposed algorithms across both the general r-geometric case and key special instances.
000171223 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E41-23R$$9info:eu-repo/grantAgreement/ES/MCIU/PID2022-138569NB-I00$$9info:eu-repo/grantAgreement/ES/MCIU/RED2022-134176-T
000171223 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttps://creativecommons.org/licenses/by/4.0/deed.es
000171223 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000171223 700__ $$0(orcid)0000-0002-1101-6230$$aMainar, E.$$uUniversidad de Zaragoza
000171223 700__ $$0(orcid)0000-0003-1550-8168$$aRoyo-Amondarain, E.$$uUniversidad de Zaragoza
000171223 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000171223 773__ $$g744 (2026), 131-152$$pLinear algebra appl.$$tLINEAR ALGEBRA AND ITS APPLICATIONS$$x0024-3795
000171223 8564_ $$s1005050$$uhttps://zaguan.unizar.es/record/171223/files/texto_completo.pdf$$yVersión publicada
000171223 8564_ $$s1403627$$uhttps://zaguan.unizar.es/record/171223/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000171223 909CO $$ooai:zaguan.unizar.es:171223$$particulos$$pdriver
000171223 951__ $$a2026-05-15-14:55:24
000171223 980__ $$aARTICLE