Paper
27 September 1999 Global and local optimization in the GOLD program
Author Affiliations +
Abstract
The Global Explorer (GE) algorithm proposed by Isshiki is implemented in the GOLD program developed by Beijing Institute of Technology. Global optimization with GE consists of many local optimization runs with or without the escape function using the damped-least-squares method. In order to improve the efficiency of the local optimization, two search schemes are incorporated into the program. The first one searches for the best damping factor which effectively determines the optimum direction of the solution vector in the multi-dimensional variable space, and the second search is conducted along that direction to find the optimum length of the solution vector. Experiments are also made to determine the optimum default values for the parameters of the escape function.
© (1999) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Yongtian Wang, Masaki Isshiki, Huilan Liu, Qun Hao, and Tong Xu "Global and local optimization in the GOLD program", Proc. SPIE 3780, Optical Design and Analysis Software, (27 September 1999); https://doi.org/10.1117/12.363778
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KEYWORDS
Gold

Algorithm development

Optimization (mathematics)

Patents

Control systems

Glasses

Photomasks

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