A parallel method for finding the global minimum of univariate functions
Journal of Optimization Theory and Applications
Global one-dimensional optimization using smooth auxiliary functions
Mathematical Programming: Series A and B
Introduction to Numerical Methods for Parallel Computers
Introduction to Numerical Methods for Parallel Computers
Parallel Computing in Optimization
Parallel Computing in Optimization
Parallel Characteristical Algorithms for Solving Problems of GlobalOptimization
Journal of Global Optimization
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In this paper we propose a new parallel algorithm for solving global optimization (GO) multidimensional problems. The method unifies two powerful approaches for accelerating the search: parallel computations and local tuning on the behavior of the objective function. We establish convergence conditions for the algorithm and theoretically show that the usage of local information during the global search permits to accelerate solving the problem significantly. Results of numerical experiments executed with 100 test functions are also reported.