Convergence rate of a rectangular subdivision-based optimization algorithm for smooth multivariate functions

Document Type

Article

Publication Date

5-1-2022

Abstract

In Zheng (J. Glob. Opt. 79:431-445;2021) the authors described a global optimization algorithm for multivariate continuous functions and applied it to an image processing problem. While the algorithm was shown to converge for all continuous functions, the convergence rate was not established. In this paper we assume that the objective function is smooth, and establish the asymptotic convergence rate when the algorithm is applied to such a function.

Identifier

85112297719 (Scopus)

Publication Title

Optimization Letters

External Full Text Location

https://doi.org/10.1007/s11590-021-01792-3

e-ISSN

18624480

ISSN

18624472

First Page

1137

Last Page

1151

Issue

4

Volume

16

Grant

CMMI-1562466

Fund Ref

National Science Foundation

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