首页|Accurate and efficient computations with Wronskian matrices of Bernstein and related bases
Accurate and efficient computations with Wronskian matrices of Bernstein and related bases
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NSTL
Wiley
Abstract 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 with high relative accuracy for these Wronskian matrices. The numerical experiments illustrate the accuracy obtained using the proposed decomposition when computing inverse matrices, eigenvalues or singular values, and the solution of some related linear systems.
accurate computationsBernstein basesbidiagonal decompositionscollocation matricesnegative binomial basisWronskian matrices
NSTL
Wiley
