Use of projective coordinate descent in the Fekete problem

DOI10.1134/S0965542520050127zbMath1453.90166OpenAlexW3038590118MaRDI QIDQ2207557

I. F. Fatkhullin, Boris T. Polyak

Publication date: 23 October 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542520050127

zbMATH Keywords

Fekete problemThomson problemenergy minimization on a sphereprojective coordinate descent

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Nonlinear programming (90C30)

Uses Software

• L-BFGS
• GenSA

Cites Work

• Unnamed Item
• A Stochastic Quasi-Newton Method for Large-Scale Optimization
• On the limited memory BFGS method for large scale optimization
• Distributing many points on a sphere
• Mathematical problems for the next century
• Minimal discrete energy on the sphere
• Coordinate descent algorithms
• Estimation of Fekete points
• Generating Uniform Incremental Grids on SO(3) Using the Hopf Fibration
• Parallel Stochastic Newton Method
• Gradient Projection and Conditional Gradient Methods for Constrained Nonconvex Minimization
• An iterative procedure for finding locally and globally optimal arrangements of particles on the unit sphere

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