High relative accuracy for rational q-Bernstein–Vandermonde matrices

DOI10.1080/03081087.2024.2304686MaRDI QIDQ6649815

Héctor Orera, J. Delgado, Juan Manuel Peña

Publication date: 6 December 2024

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Mathematics Subject Classification ID

Factorization of matrices (15A23) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Direct numerical methods for linear systems and matrix inversion (65F05)

Cites Work

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• An efficient and scalable block parallel algorithm of Neville elimination as a tool for the CMB maps problem
• A de Casteljau algorithm for generalized Bernstein polynomials
• A fast and accurate algorithm for solving Bernstein-Vandermonde linear systems
• Total positivity and Neville elimination
• Accurate computation of the Moore-Penrose inverse of strictly totally positive matrices
• Shape preserving representations and optimality of the Bernstein basis
• Accurate computations with collocation matrices of rational bases
• Accurate Computations with Totally Nonnegative Matrices
• Accurate and efficient expression evaluation and linear algebra
• Accurate Computations with Collocation Matrices of q-Bernstein Polynomials
• Accurate Eigenvalues and SVDs of Totally Nonnegative Matrices
• The Accurate and Efficient Solution of a Totally Positive Generalized Vandermonde Linear System
• Totally positive matrices
• Quantum calculus

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