Accurate computations with matrices related to bases {tieλt}

Author:

Mainar E.ORCID,Peña J. M.ORCID,Rubio B.ORCID

Abstract

AbstractThe total positivity of collocation, Wronskian and Gram matrices corresponding to bases of the form (eλt,teλt,…,tneλt) is analyzed. A bidiagonal decomposition providing the accurate numerical resolution of algebraic linear problems with these matrices is derived. The numerical experimentation confirms the accuracy of the proposed methods.

Funder

Universidad de Zaragoza

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference29 articles.

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