000119832 001__ 119832
000119832 005__ 20240319081006.0
000119832 0247_ $$2doi$$a10.1007/s13398-022-01253-1
000119832 0248_ $$2sideral$$a130706
000119832 037__ $$aART-2022-130706
000119832 041__ $$aeng
000119832 100__ $$0(orcid)0000-0002-1101-6230$$aMainar, E.$$uUniversidad de Zaragoza
000119832 245__ $$aAccurate computations with Gram and Wronskian matrices of geometric and Poisson bases
000119832 260__ $$c2022
000119832 5060_ $$aAccess copy available to the general public$$fUnrestricted
000119832 5203_ $$aIn this paper we deduce a bidiagonal decomposition of Gram and Wronskian matrices of geometric and Poisson bases. It is also proved that the Gram matrices of both bases are strictly totally positive, that is, all their minors are positive. The mentioned bidiagonal decompositions are used to achieve algebraic computations with high relative accuracy for Gram and Wronskian matrices of these bases. The provided numerical experiments illustrate the accuracy when computing the inverse matrix, the eigenvalues or singular values or the solutions of some linear systems, using the theoretical results.
000119832 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/
000119832 590__ $$a2.9$$b2022
000119832 592__ $$a0.933$$b2022
000119832 591__ $$aMATHEMATICS$$b15 / 329 = 0.046$$c2022$$dQ1$$eT1
000119832 593__ $$aAlgebra and Number Theory$$c2022$$dQ1
000119832 593__ $$aAnalysis$$c2022$$dQ1
000119832 593__ $$aGeometry and Topology$$c2022$$dQ1
000119832 593__ $$aComputational Mathematics$$c2022$$dQ1
000119832 593__ $$aApplied Mathematics$$c2022$$dQ1
000119832 594__ $$a4.9$$b2022
000119832 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000119832 700__ $$0(orcid)0000-0002-1340-0666$$aPeña, J. M.$$uUniversidad de Zaragoza
000119832 700__ $$0(orcid)0000-0001-9130-0794$$aRubio, B.$$uUniversidad de Zaragoza
000119832 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000119832 773__ $$g116 (2022), 126 [22 pp.]$$pRev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat.$$tRevista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas$$x1578-7303
000119832 8564_ $$s411977$$uhttps://zaguan.unizar.es/record/119832/files/texto_completo.pdf$$yVersión publicada
000119832 8564_ $$s1224263$$uhttps://zaguan.unizar.es/record/119832/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000119832 909CO $$ooai:zaguan.unizar.es:119832$$particulos$$pdriver
000119832 951__ $$a2024-03-18-14:37:35
000119832 980__ $$aARTICLE