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Second-order optimization methods in the synthesis of multilayer coatings. (English. Russian original) Zbl 0817.65020
Comput. Math. Math. Phys. 33, No. 10, 1339-1352 (1993); translation from Zh. Vychisl. Mat. Mat. Fiz. 33, No. 10, 1518-1535 (1993).
Summary: An efficient method of obtaining the matrices of second derivatives for the synthesis of multilayer coatings, which can also be applied in the case of an absorbent system is considered. By having the matrix of second derivatives it is possible to employ the rapidly convergent methods of second-order optimization which, in conjunction with the method of acicular variations, can be used to develop uniquely efficient software. Some numerical results are described and discussed.
65D25 Numerical differentiation
65K05 Numerical mathematical programming methods
78A10 Physical optics