133354 20260217205459.0 doi 10.3390/math12060853 sideral 138087 ART-2024-138087 eng Delgado, Jorge Universidad de Zaragoza (orcid)0000-0003-2156-9856 Accurate computations with block checkerboard pattern matrices 2024 Access copy available to the general public Unrestricted In this work, block checkerboard sign pattern matrices are introduced and analyzed. They satisfy the generalized Perron–Frobenius theorem. We study the case related to total positive matrices in order to guarantee bidiagonal decompositions and some linear algebra computations with high relative accuracy. A result on intervals of checkerboard matrices is included. Some numerical examples illustrate the theoretical results. info:eu-repo/grantAgreement/ES/DGA/E41-23R 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 MATHEMATICS 30 / 492 = 0.061 2024 Q1 T1 0.498 2024 Computer Science (miscellaneous) 2024 Q2 Mathematics (miscellaneous) 2024 Q2 Engineering (miscellaneous) 2024 Q2 4.6 2024 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Orera, Héctor Universidad de Zaragoza (orcid)0000-0002-4794-5875 Peña, J. M. Universidad de Zaragoza (orcid)0000-0002-1340-0666 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 12, 6 (2024), 853 [13 pp.] Mathematics (Basel) Mathematics 2227-7390 620558 http://zaguan.unizar.es/record/133354/files/texto_completo.pdf Versión publicada 2616869 http://zaguan.unizar.es/record/133354/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:133354 articulos driver 2026-02-17-20:21:24 ARTICLE