On the total positivity of q-Bernstein mass matrices and their accurate computations

Factorization of matrices (15A23) Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18) Roundoff error (65G50) Direct numerical methods for linear systems and matrix inversion (65F05) Linear equations (linear algebraic aspects) (15A06)

Cites Work

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The Bernstein polynomial basis: a centennial retrospective
Gram matrix of Bernstein basis: properties and applications
Two essential properties of $(q, h)$-Bernstein-Bézier curves
Totally positive bases for shape preserving curve design and optimality of B-splines
Total positivity and Neville elimination
A matricial description of Neville elimination with applications to total positivity
$q$-Bernstein polynomials and their iterates.
Accurate computation of the Moore-Penrose inverse of strictly totally positive matrices
$q$-Bernstein polynomials and Bézier curves
Shape preserving representations and optimality of the Bernstein basis
Computing the singular value decomposition with high relative accuracy
Accurate computations with Gram and Wronskian matrices of geometric and Poisson bases
Accurate computations with matrices related to bases $\{t^ie^{\lambda t}\}$
Quantum Bernstein bases and quantum Bézier curves
Fast simplicial finite element algorithms using Bernstein polynomials
Total positivity and accurate computations with Gram matrices of Bernstein bases
Generating Functions for the $q$-Bernstein Bases
Accurate bidiagonal decomposition of collocation matrices of weighted ϕ ‐transformed systems
Accurate Computations with Totally Nonnegative Matrices
On the optimal stability of the Bernstein basis
Structured Inversion of the Bernstein Mass Matrix
A survey of results on the q-Bernstein polynomials
Accurate Eigenvalues and SVDs of Totally Nonnegative Matrices
Totally positive matrices
Quantum calculus

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