125321 20241125101153.0 doi 10.1016/j.cam.2023.115064 sideral 132946 ART-2023-132946 eng Delgado, Jorge Universidad de Zaragoza (orcid)0000-0003-2156-9856 Bidiagonal decompositions of Vandermonde-type matrices of arbitrary rank 2023 Access copy available to the general public Unrestricted We present a method to derive new explicit expressions for bidiagonal decompositions of Vandermonde and related matrices such as the (-, -) Bernstein-Vandermonde ones, among others. These results generalize the existing expressions for nonsingular matrices to matrices of arbitrary rank. For totally nonnegative matrices of the above classes, the new decompositions can be computed efficiently and to high relative accuracy componentwise in floating point arithmetic. In turn, matrix computations (e.g., eigenvalue computation) can also be performed efficiently and to high relative accuracy. info:eu-repo/grantAgreement/ES/DGA/E41-17R info:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-096321-B-I00 info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 2.1 2023 MATHEMATICS, APPLIED 53 / 332 = 0.16 2023 Q1 T1 0.858 2023 Computational Mathematics 2023 Q2 Applied Mathematics 2023 Q2 5.4 2023 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Koev, Plamen Marco, Ana Martínez, José-Javier Peña, Juan Manuel Universidad de Zaragoza (orcid)0000-0002-1340-0666 Persson, Per-Olof Spasov, Steven 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 426 (2023), 115064 [15 pp.] J. comput. appl. math. Journal of Computational and Applied Mathematics 0377-0427 419431 http://zaguan.unizar.es/record/125321/files/texto_completo.pdf Versión publicada 1977142 http://zaguan.unizar.es/record/125321/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:125321 articulos driver 2024-11-22-12:08:00 ARTICLE