Optimality Conditions and Algorithms for Direct Optimizing the Partial Differential Equations ()
Abstract
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.
Share and Cite:
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.
Conflicts of Interest
The authors declare no conflicts of interest.
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