000144957 001__ 144957
000144957 005__ 20250923084421.0
000144957 0247_ $$2doi$$a10.1002/nla.2579
000144957 0248_ $$2sideral$$a139439
000144957 037__ $$aART-2024-139439
000144957 041__ $$aeng
000144957 100__ $$0(orcid)0000-0003-2156-9856$$aDelgado, Jorge$$uUniversidad de Zaragoza
000144957 245__ $$aAccurate bidiagonal decompositions of Cauchy–Vandermonde matrices of any rank
000144957 260__ $$c2024
000144957 5060_ $$aAccess copy available to the general public$$fUnrestricted
000144957 5203_ $$aWe 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.
000144957 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E41-23R$$9info:eu-repo/grantAgreement/ES/MCIU/PID2022-138569NB-I00$$9info:eu-repo/grantAgreement/ES/MICINN/RED2022-134176-T
000144957 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000144957 590__ $$a2.1$$b2024
000144957 592__ $$a0.757$$b2024
000144957 591__ $$aMATHEMATICS, APPLIED$$b57 / 343 = 0.166$$c2024$$dQ1$$eT1
000144957 593__ $$aAlgebra and Number Theory$$c2024$$dQ1
000144957 591__ $$aMATHEMATICS$$b31 / 483 = 0.064$$c2024$$dQ1$$eT1
000144957 593__ $$aApplied Mathematics$$c2024$$dQ2
000144957 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000144957 700__ $$aKoev, Plamen
000144957 700__ $$aMarco, Ana
000144957 700__ $$aMartínez, José-Javier
000144957 700__ $$0(orcid)0000-0002-1340-0666$$aPeña, Juan Manuel$$uUniversidad de Zaragoza
000144957 700__ $$aPersson, Per-Olof
000144957 700__ $$aSpasov, Steven
000144957 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000144957 773__ $$g31, 6 (2024), e2579 [15 pp.]$$pNumer. linear algebra appl.$$tNUMERICAL LINEAR ALGEBRA WITH APPLICATIONS$$x1070-5325
000144957 8564_ $$s329208$$uhttps://zaguan.unizar.es/record/144957/files/texto_completo.pdf$$yPostprint
000144957 8564_ $$s1484778$$uhttps://zaguan.unizar.es/record/144957/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000144957 909CO $$ooai:zaguan.unizar.es:144957$$particulos$$pdriver
000144957 951__ $$a2025-09-22-14:35:46
000144957 980__ $$aARTICLE