Accurate computations with matrices related to bases {tieλt}
E. Mainar, Juan Manuel Peña, Beatriz Rubio · Advances in Computational Mathematics · 2022
Abstract The total positivity of collocation, Wronskian and Gram matrices corresponding to bases of the form ( e λ t , t e λ t ,…, t n e λ t ) 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.