000133354 001__ 133354 000133354 005__ 20260217205459.0 000133354 0247_ $$2doi$$a10.3390/math12060853 000133354 0248_ $$2sideral$$a138087 000133354 037__ $$aART-2024-138087 000133354 041__ $$aeng 000133354 100__ $$0(orcid)0000-0003-2156-9856$$aDelgado, Jorge$$uUniversidad de Zaragoza 000133354 245__ $$aAccurate computations with block checkerboard pattern matrices 000133354 260__ $$c2024 000133354 5060_ $$aAccess copy available to the general public$$fUnrestricted 000133354 5203_ $$aIn 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. 000133354 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E41-23R$$9info:eu-repo/grantAgreement/ES/MCIU/PID2022-138569NB-I00$$9info:eu-repo/grantAgreement/ES/MCIU/RED2022-134176-T 000133354 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttps://creativecommons.org/licenses/by/4.0/deed.es 000133354 590__ $$a2.2$$b2024 000133354 592__ $$a0.498$$b2024 000133354 591__ $$aMATHEMATICS$$b30 / 492 = 0.061$$c2024$$dQ1$$eT1 000133354 593__ $$aComputer Science (miscellaneous)$$c2024$$dQ2 000133354 593__ $$aMathematics (miscellaneous)$$c2024$$dQ2 000133354 593__ $$aEngineering (miscellaneous)$$c2024$$dQ2 000133354 594__ $$a4.6$$b2024 000133354 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000133354 700__ $$0(orcid)0000-0002-4794-5875$$aOrera, Héctor$$uUniversidad de Zaragoza 000133354 700__ $$0(orcid)0000-0002-1340-0666$$aPeña, J. M.$$uUniversidad de Zaragoza 000133354 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000133354 773__ $$g12, 6 (2024), 853 [13 pp.]$$pMathematics (Basel)$$tMathematics$$x2227-7390 000133354 8564_ $$s620558$$uhttps://zaguan.unizar.es/record/133354/files/texto_completo.pdf$$yVersión publicada 000133354 8564_ $$s2616869$$uhttps://zaguan.unizar.es/record/133354/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000133354 909CO $$ooai:zaguan.unizar.es:133354$$particulos$$pdriver 000133354 951__ $$a2026-02-17-20:21:24 000133354 980__ $$aARTICLE