000086128 001__ 86128
000086128 005__ 20200616135721.0
000086128 0247_ $$2doi$$a10.1007/s11075-018-0632-x
000086128 0248_ $$2sideral$$a109608
000086128 037__ $$aART-2018-109608
000086128 041__ $$aeng
000086128 100__ $$0(orcid)0000-0003-4359-1499$$aCarnicer, J.M.$$uUniversidad de Zaragoza
000086128 245__ $$aOptimal interval length for the collocation of the Newton interpolation basis
000086128 260__ $$c2018
000086128 5060_ $$aAccess copy available to the general public$$fUnrestricted
000086128 5203_ $$aIt is known that the Lagrange interpolation problem at equidistant nodes is ill-conditioned. We explore the influence of the interval length in the computation of divided differences of the Newton interpolation formula. Condition numbers are computed for lower triangular matrices associated to the Newton interpolation formula at equidistant nodes. We consider the collocation matrices L and PL of the monic Newton basis and a normalized Newton basis, so that PL is the lower triangular Pascal matrix. In contrast to L, PL does not depend on the interval length, and we show that the Skeel condition number of the (n + 1) × (n + 1) lower triangular Pascal matrix is 3n. The 8-norm condition number of the collocation matrix L of the monic Newton basis is computed in terms of the interval length. The minimum asymptotic growth rate is achieved for intervals of length 3.
000086128 536__ $$9info:eu-repo/grantAgreement/ES/DGA/FSE$$9info:eu-repo/grantAgreement/ES/MINECO-FEDER/MTM2015-65433-P
000086128 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000086128 590__ $$a2.417$$b2018
000086128 591__ $$aMATHEMATICS, APPLIED$$b24 / 254 = 0.094$$c2018$$dQ1$$eT1
000086128 592__ $$a0.937$$b2018
000086128 593__ $$aApplied Mathematics$$c2018$$dQ2
000086128 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000086128 700__ $$0(orcid)0000-0002-6497-7158$$aKhiar, Y.$$uUniversidad de Zaragoza
000086128 700__ $$0(orcid)0000-0002-1340-0666$$aPeña, J.M.$$uUniversidad de Zaragoza
000086128 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000086128 773__ $$g82 (2018), 895 - 908$$pNumer. algorithms$$tNumerical Algorithms$$x1017-1398
000086128 8564_ $$s470508$$uhttps://zaguan.unizar.es/record/86128/files/texto_completo.pdf$$yPostprint
000086128 8564_ $$s6702$$uhttps://zaguan.unizar.es/record/86128/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000086128 909CO $$ooai:zaguan.unizar.es:86128$$particulos$$pdriver
000086128 951__ $$a2020-06-16-13:49:42
000086128 980__ $$aARTICLE