On the limited memory BFGS method for large scale optimization
Mathematical Programming: Series A and B
An Infeasible Point Method for Minimizing the Lennard-JonesPotential
Computational Optimization and Applications
Solving redundancy optimization problem with a new stochastic algorithm
SEMCCO'11 Proceedings of the Second international conference on Swarm, Evolutionary, and Memetic Computing - Volume Part II
A new stochastic algorithm to direct orbits of chaotic systems
International Journal of Computer Applications in Technology
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Lennard-Jones LJ cluster is one important problem in chemistry, materials and physics. The main difficulty is the amount of local optima. Recently, an Artificial Plant Photosynthesis and Phototropism Mechanism APPM is proposed which simulates the plant growing process. In this paper, APPM is applied to solve LJ cluster problem. To avoid the premature convergence phenomenon, a new strategy, Limited memory Broyden-Fletcher-Goldfarb-Shanno L-BFGS is employed to increase the local search efficiency. Furthermore, seed technology is also introduced to slow the problem dimension. Simulation results show this new hybrid algorithm is effective for LJ2-LJ17 when compared with other three stochastic algorithms.