Total positivity and accurate computations with Gram matrices of Bernstein bases
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Publication:2674583
DOI10.1007/s11075-022-01284-0zbMath1503.65076OpenAlexW4293062468WikidataQ114224281 ScholiaQ114224281MaRDI QIDQ2674583
B. Rubio, Juan Manuel Peña, Esmeralda Mainar
Publication date: 14 September 2022
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-022-01284-0
Gram matricestotally positive matriceshigh relative accuracybidiagonal decompositionsBernstein bases
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Positive matrices and their generalizations; cones of matrices (15B48)
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- Bézier representation of the constrained dual Bernstein polynomials
- The Bernstein polynomial basis: a centennial retrospective
- Gram matrix of Bernstein basis: properties and applications
- Multi-degree reduction of tensor product Bézier surfaces with general boundary constraints
- Multi-degree reduction of Bézier curves with constraints, using dual Bernstein basis polynomials
- Optimal multi-degree reduction of Bézier curves with \(G^2\)-continuity
- Total positivity and Neville elimination
- A matricial description of Neville elimination with applications to total positivity
- The rational Bernstein bases and the multirational blossoms
- Accurate computation of the Moore-Penrose inverse of strictly totally positive matrices
- Shape preserving representations and optimality of the Bernstein basis
- Construction of dual bases
- Evaluation and subdivision algorithms for general classes of totally positive rational bases
- Accurate algorithms for Bessel matrices
- Solutions of differential equations in a Bernstein polynomial basis
- Constrained polynomial degree reduction in the \(L_2\)-norm equals best weighted Euclidean approximation of Bézier coefficients
- Fast simplicial finite element algorithms using Bernstein polynomials
- Explicit \(G^2\)-constrained degree reduction of Bézier curves by quadratic optimization
- Numerical solution of KdV equation using modified bernstein polynomials
- Accurate computations with Laguerre matrices
- Bernstein Polynomials and Brownian Motion
- Accurate Computations with Totally Nonnegative Matrices
- On the optimal stability of the Bernstein basis
- Structured Inversion of the Bernstein Mass Matrix
- The Accurate and Efficient Solution of a Totally Positive Generalized Vandermonde Linear System
- Accurate computations with totally positive Bernstein-Vandermonde matrices
- Totally positive matrices
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