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

Author:

Zheng Cuicui,Calvin JamesORCID

Funder

National Science Foundation

Publisher

Springer Science and Business Media LLC

Subject

Control and Optimization

Reference11 articles.

1. Calvin, J.M., Gimbutienė, G., Phillips, W.O., Z̆ilinskas, A.: On convergence rate of a rectangular partition based global optimization algorithm. J. Glob. Optim. 71, 165–191 (2018)

2. Finkel, D. E.: Global optimization with the DIRECT algorithm. PhD thesis, North Carolina State University, Raleigh, North Carolina, (2005)

3. Gaviano, M., Kvasov, D.E., Lera, D., Sergeyev, Ya.. D.: Algorithm 829: software for generation of classes of test functions with known local and global minima for global optimization. ACM Trans. Math. Softw. 29, 469–480 (2003)

4. Jones, D.R., Perttunen, C.D., Stuckman, B.E.: Lipschitzian optimization without the Lipschitz constant. J. Optim. Theory Appl. 79, 157–181 (1993)

5. Kvasov, D.E., Mukhametzhanov, M.S.: Metaheuristic vs. deterministic global optimization algorithms: the univariate case. Appl. Math. Comput. 318, 245–259 (2018)

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