144957 20260217205552.0 doi 10.1002/nla.2579 sideral 139439 ART-2024-139439 eng Delgado, Jorge Universidad de Zaragoza (orcid)0000-0003-2156-9856 Accurate bidiagonal decompositions of Cauchy–Vandermonde matrices of any rank 2024 Access copy available to the general public Unrestricted We present a new decomposition of a Cauchy–Vandermonde matrix as a product of bidiagonal matrices which, unlike its existing bidiagonal decompositions, is now valid for a matrix of any rank. The new decompositions are insusceptible to the phenomenon known as subtractive cancellation in floating point arithmetic and are thus computable to high relative accuracy. In turn, other accurate matrix computations are also possible with these matrices, such as eigenvalue computation amongst others. info:eu-repo/grantAgreement/ES/DGA/E41-23R info:eu-repo/grantAgreement/ES/MCIU/PID2022-138569NB-I00 info:eu-repo/grantAgreement/ES/MICINN/RED2022-134176-T info:eu-repo/semantics/openAccess by-nc-nd https://creativecommons.org/licenses/by-nc-nd/4.0/deed.es 2.1 2024 MATHEMATICS, APPLIED 57 / 344 = 0.166 2024 Q1 T1 MATHEMATICS 32 / 492 = 0.065 2024 Q1 T1 0.757 2024 Algebra and Number Theory 2024 Q1 Applied Mathematics 2024 Q2 3.4 2024 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion 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 31, 6 (2024), e2579 [15 pp.] Numer. linear algebra appl. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 1070-5325 329208 http://zaguan.unizar.es/record/144957/files/texto_completo.pdf Postprint 1484778 http://zaguan.unizar.es/record/144957/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:144957 articulos driver 2026-02-17-20:40:59 ARTICLE