A note on total degree polynomial optimization by Chebyshev grids
type: Item
instance of: scholarly article
title: A note on total degree polynomial optimization by Chebyshev grids
zbMATH Open document ID: 1411.90278
author: Federico Piazzon
author: Marco Vianello
published in: Optimization Letters
publication date: 2018-02-09T00:00:00Z
full work available at URL: http://hdl.handle.net/11577/3253917
Mathematics Subject Classification ID: 90C26
zbMATH DE Number: 6836731
zbMATH Keywords: multivariate polynomial optimization
zbMATH Keywords: polynomial meshes
zbMATH Keywords: Dubiner distance
zbMATH Keywords: hypercube
zbMATH Keywords: Chebyshev grids
describes a project that uses: Chebfun
describes a project that uses: Chebfun2
MaRDI profile type: Publication
OpenAlex ID: W2725482609
cites work: Hölder continuity of the Green function and Markov brothers' inequality
cites work: Q5355360
cites work: Geometric weakly admissible meshes, discrete least squares approximations and approximate Fekete points
cites work: Q3154820
cites work: Pseudometrics, distances and multivariate polynomial inequalities
cites work: Low cardinality admissible meshes on quadrangles, triangles and disks
cites work: Uniform approximation by discrete least squares polynomials
cites work: An Interior Trust Region Approach for Nonlinear Minimization Subject to Bounds
cites work: The complexity of optimizing over a simplex, hypercube or sphere: a short survey
cites work: Bound-Constrained Polynomial Optimization Using Only Elementary Calculations
cites work: Error Bounds for Some Semidefinite Programming Approaches to Polynomial Minimization on the Hypercube
cites work: An Error Analysis for Polynomial Optimization over the Simplex Based on the Multivariate Hypergeometric Distribution
cites work: On the convergence rate of grid search for polynomial optimization over the simplex
cites work: The theory of multi-dimensional polynomial approximation
cites work: Schwankung von Polynomen zwischen Gitterpunkten. (Oscillations of polynomials between lattice points)
cites work: Q3761620
cites work: Chebfun in Three Dimensions
cites work: On optimal polynomial meshes
cites work: Optimal polynomial admissible meshes on some classes of compact subsets of \(\mathbb{R}^d\)
cites work: Small perturbations of polynomial meshes
cites work: Suboptimal Polynomial Meshes on Planar Lipschitz Domains
cites work: An Extension of Chebfun to Two Dimensions
cites work: Some applications of a polynomial inequality to global optimization
DOI: 10.1007/S11590-017-1166-1
description: scientific article; zbMATH DE number 6836731