Charged ball method for solving some computational geometry problems-Reference-Cited by-同舟云学术

Charged ball method for solving some computational geometry problems

Published:2017-07 Issue:3 Volume:50 Page:209-216
ISSN:1063-4541
Container-title:Vestnik St. Petersburg University, Mathematics
language:en
Short-container-title:Vestnik St.Petersb. Univ.Math.

Author:

Abbasov M. E.

Publisher

Allerton Press

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.3103/S1063454117030025.pdf

Reference8 articles.

1. I. Diener, “Trajectory methods in global optimization,” in Handbook of Global Optimization, Ed. by R. Horst and P. M. Pardalos (Springer-Verlag, Dordrecht, 1995), in Ser.: Nonconvex Optimization and Its Applications, Vol. 2, pp. 649–668.

2. N. S. Bahvalov, N. P. Zhidkov, and G. M. Kobelkov, Numerical Methods (Nauka, Moscow, 1987) [in Russian].

3. M. E. Abbasov, “Charged balls method,” in Proc. Semin. on Constructive Nonsmooth Analysis and Nondifferentiable Optimization (CNSA & NDO), St. Petersburg, 2015 (S.-Peterb. Gos. Univ., St. Petersburg, 2015). http://www.apmath.spbu.ru/cnsa/pdf/2015/Charged_balls.pdf. Accessed April 28, 2017.

4. E. A. Barbashin, Introduction to the Theory of Stability (Nauka, Moscow, 1967; Wolters-Noordhoff, Groningen, 1970).

5. B. T. Polyak and P. S. Shcherbakov, “Optimization and asymptotic stability,” Int. J. Control (2016). doi doi 10.1080/00207179.2016.1257154

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Comparison of methods computing the distance between two ellipsoids;Journal of Computational Physics;2022-06

2. Projection of a Point onto a Convex Set via Charged Balls Method;High-Dimensional Optimization and Probability;2022

3. The alternating direction method of multipliers for finding the distance between ellipsoids;Applied Mathematics and Computation;2021-11

4. Modifications of the Charged Balls Method;Open Computer Science;2020-02-24

5. Randomized heuristic algorithms for orthogonal projection of a point onto a set;Communications in Statistics - Simulation and Computation;2018-12-04