Accurate and efficient computations with Wronskian matrices of Bernstein and related bases

• Published in: Numerical linear algebra with applications Vol. 29; no. 3
• Main Authors: Mainar, Esmeralda, Peña, Juan M., Rubio, Beatriz
• Format: Journal Article
• Language: English
• Published: Oxford Wiley Subscription Services, Inc 01.05.2022
• Subjects: accurate computations; Bernstein bases; bidiagonal decompositions; collocation matrices; Decomposition; Eigenvalues; Linear systems; Mathematical analysis; negative binomial basis; Polynomials; Wronskian matrices

In this article, we provide a bidiagonal decomposition of the Wronskian matrices of Bernstein bases of polynomials and other related bases such as the Bernstein basis of negative degree or the negative binomial basis. The mentioned bidiagonal decompositions are used to achieve algebraic computations...