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01.03.2021

Accurate computations with Wronskian matrices

verfasst von: E. Mainar, J. M. Peña, B. Rubio

Erschienen in: Calcolo | Ausgabe 1/2021

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Abstract

In this paper we provide algorithms for computing the bidiagonal decomposition of the Wronskian matrices of the monomial basis of polynomials and of the basis of exponential polynomials. It is also shown that these algorithms can be used to perform accurately some algebraic computations with these Wronskian matrices, such as the calculation of their inverses, their eigenvalues or their singular values and the solutions of some linear systems. Numerical experiments illustrate the results.

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Titel: Accurate computations with Wronskian matrices
verfasst von: E. Mainar
J. M. Peña
B. Rubio
Publikationsdatum: 01.03.2021
Verlag: Springer International Publishing
Erschienen in: Calcolo / Ausgabe 1/2021
Print ISSN: 0008-0624
Elektronische ISSN: 1126-5434
DOI: https://doi.org/10.1007/s10092-020-00392-4

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