doi:10.1007/s10444-022-09954-2engMainar, E.Peña, J. M.Rubio, B.Accurate computations with matrices related to bases {tie¿t}ART-2022-130708The 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.2022http://zaguan.unizar.es/record/11983410.1007/s10444-022-09954-2http://zaguan.unizar.es/record/119834oai:zaguan.unizar.es:119834info:eu-repo/grantAgreement/ES/DGA/E41-20Rinfo:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-096321-B-I00ADVANCES IN COMPUTATIONAL MATHEMATICS 48, 4 (2022), 38 [25 pp.]byhttp://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccess