The paper deals with three numerical approaches that allow one to construct computational technologies for solving nonconvex optimization problems. We propose to use the developed algorithms based on modifications of the tunnel search algorithm, the Luus–Yaakola method, and the expert algorithm. The presented techniques are implemented within the framework of the software package and are used for solving nonconvex optimization problems of various classes, in particular, the minimization of the potential function for the Sutton–Chen atomic-molecular cluster, the problem of parametric identification of nonlinear dynamic systems, and the nonconvex optimal control problem.
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JMS Source Journal International Mathematical Schools. Vol. 1. Advances in Pure and Applied Mathematics
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Gornov, A.Y., Sorokovikov, P.S., Zarodnyuk, T.S. et al. Three Search Algorithms for Three Nonconvex Optimization Problems. J Math Sci 267, 457–464 (2022). https://doi.org/10.1007/s10958-022-06150-x
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DOI: https://doi.org/10.1007/s10958-022-06150-x