153036 20251017144649.0 doi 10.1007/s40314-025-03137-7 sideral 143461 ART-2025-143461 eng Delgado, Jorge Universidad de Zaragoza (orcid)0000-0003-2156-9856 High-relative-accuracy computations with Kac-Murdock-Szegö matrices and their generalizations 2025 Access copy available to the general public Unrestricted A linear-time-complexity method to obtain the bidiagonal decomposition of a generalized Kac-Murdock-Szegö matrix is presented. For convenient values of the parameters, it can be obtained with high relative accuracy and it can be also used to compute all eigenvalues, all singular values, the inverse and the solution of some linear systems of equations with high relative accuracy. 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 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peña, J. M. Universidad de Zaragoza (orcid)0000-0002-1340-0666 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 44, 188 (2025), [12 pp.] COMPUTATIONAL & APPLIED MATHEMATICS COMPUTATIONAL & APPLIED MATHEMATICS 2238-3603 503949 http://zaguan.unizar.es/record/153036/files/texto_completo.pdf Versión publicada 1236228 http://zaguan.unizar.es/record/153036/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:153036 articulos driver 2025-10-17-14:35:38 ARTICLE