Computing Multivariate Fekete and Leja Points by Numerical Linear Algebra
From MaRDI portal
Publication:3005007
DOI10.1137/090779024zbMath1221.41005OpenAlexW1980029630MaRDI QIDQ3005007
Alvise Sommariva, Marco Vianello, Stefano De Marchi, L. P. Bos
Publication date: 6 June 2011
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/090779024
equilibrium measurepluripotential theoryVandermonde matricesapproximate Fekete pointsdiscrete Leja pointsweakly admissible meshesQR factorization with column pivotingLU factorization with row pivoting
Related Items (50)
Polynomial fitting and interpolation on circular sections ⋮ Compression of Multivariate Discrete Measures and Applications ⋮ On an extended Filon method for highly oscillatory integrals over a simplex ⋮ Polynomial mapped bases: theory and applications ⋮ Adaptive density tracking by quadrature for stochastic differential equations ⋮ A Matrix Approach to the Newton Formula and Divided Differences ⋮ Boosted optimal weighted least-squares ⋮ On positivity of principal minors of bivariate Bézier collocation matrix ⋮ Numerical differentiation on scattered data through multivariate polynomial interpolation ⋮ Suboptimal Polynomial Meshes on Planar Lipschitz Domains ⋮ Padua points and fake nodes for polynomial approximation: old, new and open problems ⋮ Polynomial chaos expansions for dependent random variables ⋮ On a near optimal sampling strategy for least squares polynomial regression ⋮ Automatic computing of oscillatory integrals ⋮ A Comparison of High Order Interpolation Nodes for the Pyramid ⋮ A faster interior-point method for sum-of-squares optimization ⋮ Equivalence of the local Markov inequality and a Kolmogorov type inequality in the complex plane ⋮ An hp‐adaptive multi‐element stochastic collocation method for surrogate modeling with information re‐use ⋮ Dispersion relation reconstruction for 2D photonic crystals based on polynomial interpolation ⋮ Constructing Least-Squares Polynomial Approximations ⋮ Weighted Approximate Fekete Points: Sampling for Least-Squares Polynomial Approximation ⋮ Polynomial interpolation and cubature over polygons ⋮ Computing almost minimal formulas on the square ⋮ The numerical approximation of nonlinear functionals and functional differential equations ⋮ On the generation of symmetric Lebesgue-like points in the triangle ⋮ Polynomial approximation and cubature at approximate Fekete and Leja points of the cylinder ⋮ On the numerical computation of bivariate Lagrange polynomials ⋮ Equivalence of the global and local Markov inequalities in the complex plane ⋮ An overdetermined B-spline collocation method for Poisson problems on complex domains ⋮ Numerical hyperinterpolation over nonstandard planar regions ⋮ Polynomial approximation and quadrature on geographic rectangles ⋮ Effectively Subsampled Quadratures for Least Squares Polynomial Approximations ⋮ On generalized least power approximation ⋮ Cholesky-Based Experimental Design for Gaussian Process and Kernel-Based Emulation and Calibration ⋮ Kernel-based interpolation at approximate Fekete points ⋮ Nonadaptive Quasi-Optimal Points Selection for Least Squares Linear Regression ⋮ On the computation of sets of points with low Lebesgue constant on the unit disk ⋮ Statistical mechanics of interpolation nodes, pluripotential theory and complex geometry ⋮ Solving Poisson equation with Dirichlet conditions through multinode Shepard operators ⋮ Interpolation of sparse high-dimensional data ⋮ Interpolative Decomposition via Proxy Points for Kernel Matrices ⋮ Asymptotics of the minimum values of Riesz and logarithmic potentials generated by greedy energy sequences on the unit circle ⋮ Computing Fekete and Lebesgue points: Simplex, square, disk ⋮ Tchakaloff polynomial meshes ⋮ Small perturbations of polynomial meshes ⋮ Initial Guesses for Sequences of Linear Systems in a GPU-Accelerated Incompressible Flow Solver ⋮ Mapped polynomials and discontinuous kernels for Runge and Gibbs phenomena ⋮ Numerical quadrature on the intersection of planar disks ⋮ Near-optimal polynomial interpolation on spherical triangles ⋮ On the Use of Compressed Polyhedral Quadrature Formulas in Embedded Interface Methods
Uses Software
This page was built for publication: Computing Multivariate Fekete and Leja Points by Numerical Linear Algebra
