Author(s)

Victor K. Tolstykh

Computer Science Department, Donetsk National University, Donetsk, Ukraine.

New form of necessary conditions for optimality (NCO) is considered. They can be useful for design the direct infinite- dimensional optimization algorithms for systems described by partial differential equations (PDE). Appropriate algo-rithms for unconstrained minimizing a functional are considered and tested. To construct the algorithms, new form of NCO is used. Such approach demonstrates fast uniform convergence at optimal solution in infinite-dimensional space.

Optimization; Gradient; Necessary Conditions for Optimality; Partial Differential Equations;Infinite-Dimensional Algorithms;

V. Tolstykh, "Optimality Conditions and Algorithms for Direct Optimizing the Partial Differential Equations," Engineering, Vol. 4 No. 7, 2012, pp. 390-393. doi: 10.4236/eng.2012.47051.