A note on Bernstein-Vandermonde matrices

Wörz, Sascha

doi:10.1080/03081087.2018.1508406

Cited by 2 publications

(1 citation statement)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The computation of the inverse of the usual Vandermonde matrix is relatively feasible and is provided in the literature but the inverse of the confluent Vandermonde matrix is completely difficult to achieve. Therefore, many theoretical and numerical methods have been developed for the computation of the inverse of the usual Vandermonde matrix given in the literature by many authors for example [2,3,8,9,13,16]. By remarking that there is a solid relation between interpolation polynomials and inversion of the confluent Vandermonde matrices, we can derive an efficient and simple method to inverse this types of matrices.…”

Section: Introductionmentioning

confidence: 99%

New approaches for solving linear confluent Vandermonde systems and inverse of their corresponding matrices via Taylor's expansion

Moucouf,

Zriaa

2020

Preprint

View full text Add to dashboard Cite

In this paper, we present a novel method to compute an explicit formula for the inverse of the confluent Vandermonde matrices. Our proposed results may have many interesting perspectives in diverse areas of mathematics and natural sciences, notably on the situations where the Vandermonde matrices have acquired much usefulness. The method presented here is direct and straightforward, it gives explicit and compact formulas not exist in the large literature on this essential topic. Several examples are presented to highlight the results. Our main tools are some elementary basic linear algebra.

show abstract

Section: Introductionmentioning

confidence: 99%