000121575 001__ 121575 000121575 005__ 20240131193423.0 000121575 0247_ $$2doi$$a10.1007/s10092-020-00392-4 000121575 0248_ $$2sideral$$a122487 000121575 037__ $$aART-2021-122487 000121575 041__ $$aeng 000121575 100__ $$0(orcid)0000-0002-1101-6230$$aMainar, E.$$uUniversidad de Zaragoza 000121575 245__ $$aAccurate computations with Wronskian matrices 000121575 260__ $$c2021 000121575 5060_ $$aAccess copy available to the general public$$fUnrestricted 000121575 5203_ $$aIn this paper we provide algorithms for computing the bidiagonal decomposition of the Wronskian matrices of the monomial basis of polynomials and of the basis of exponential polynomials. It is also shown that these algorithms can be used to perform accurately some algebraic computations with these Wronskian matrices, such as the calculation of their inverses, their eigenvalues or their singular values and the solutions of some linear systems. Numerical experiments illustrate the results. 000121575 536__ $$9info:eu-repo/grantAgreement/ES/DGA-FEDER/Construyendo Europa desde Aragón$$9info:eu-repo/grantAgreement/ES/DGA-FEDER/E41-17R$$9info:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-096321-B-I00 000121575 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000121575 590__ $$a2.097$$b2021 000121575 591__ $$aMATHEMATICS$$b32 / 333 = 0.096$$c2021$$dQ1$$eT1 000121575 591__ $$aMATHEMATICS, APPLIED$$b71 / 267 = 0.266$$c2021$$dQ2$$eT1 000121575 592__ $$a0.96$$b2021 000121575 593__ $$aComputational Mathematics$$c2021$$dQ1 000121575 593__ $$aAlgebra and Number Theory$$c2021$$dQ1 000121575 594__ $$a3.4$$b2021 000121575 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000121575 700__ $$0(orcid)0000-0002-1340-0666$$aPeña, J.M.$$uUniversidad de Zaragoza 000121575 700__ $$0(orcid)0000-0001-9130-0794$$aRubio, B.$$uUniversidad de Zaragoza 000121575 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000121575 773__ $$g58, 1 (2021), 1 [15 pp]$$pCalcolo$$tCALCOLO$$x0008-0624 000121575 8564_ $$s338198$$uhttps://zaguan.unizar.es/record/121575/files/texto_completo.pdf$$yPostprint 000121575 8564_ $$s1134998$$uhttps://zaguan.unizar.es/record/121575/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000121575 909CO $$ooai:zaguan.unizar.es:121575$$particulos$$pdriver 000121575 951__ $$a2024-01-31-19:30:48 000121575 980__ $$aARTICLE