Global polynomial optimization by norming sets on sphere and torus

DOI10.14658/pupj-drna-2018-1-2zbMATH Open1540.90224MaRDI QIDQ6557248

Marco Vianello

Publication date: 18 June 2024

Published in: Dolomites Research Notes on Approximation (Search for Journal in Brave)

zbMATH Keywords

spheretoruspolynomial inequalitiespolynomial optimizationpolynomial meshesnorming setsdubiner distancequasi-uniform pointstrigonometric grids

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonconvex programming, global optimization (90C26) Numerical optimization and variational techniques (65K10) Approximation by polynomials (41A10)

Cites Work

• Unnamed Item
• Optimal polynomial admissible meshes on some classes of compact subsets of \(\mathbb{R}^d\)
• On the convergence rate of grid search for polynomial optimization over the simplex
• A note on total degree polynomial optimization by Chebyshev grids
• On optimal polynomial meshes
• A partition of the unit sphere into regions of equal area and small diameter
• Uniform approximation by discrete least squares polynomials
• Pseudometrics, distances and multivariate polynomial inequalities
• The complexity of optimizing over a simplex, hypercube or sphere: a short survey
• Some applications of a polynomial inequality to global optimization
• The theory of multi-dimensional polynomial approximation
• Constructive polynomial approximation on the sphere
• Schwankung von Polynomen zwischen Gitterpunkten. (Oscillations of polynomials between lattice points)
• Small perturbations of polynomial meshes
• Weakly Admissible Meshes and Discrete Extremal Sets
• Suboptimal Polynomial Meshes on Planar Lipschitz Domains
• Fast Global Optimization on the Torus, the Sphere, and the Rotation Group
• Low cardinality admissible meshes on quadrangles, triangles and disks
• Ideals, Varieties, and Algorithms
• Bernstein-Markov: a survey
• Optimal polynomial meshes and Caratheodory-Tchakaloff submeshes on the sphere
• A Comparison of Popular Point Configurations on $\mathbb{S}^2$

Related Items (1)

On extremal functions and V. Markov type polynomial inequality for certain subsets of \({\mathbb{R}}^N\)

This page was built for publication: Global polynomial optimization by norming sets on sphere and torus