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V. K. Tolstykh, “New First-Order Algorithms for Optimal Control under Large and Infinite-Dimensional Objective Functions New First-Order Algorithm for Optimal Control with High Dimensional Quadratic Objective,” Proceedings of the 16th IMACS World Congress on Scientific Computation, Applied Mathematics and Simulation, Lausanne, 21-25 August 2000. http://metronu.ulb.ac.be/imacs/lausanne/CP/215-3.pdf

has been cited by the following article:

• TITLE: Optimality Conditions and Algorithms for Direct Optimizing the Partial Differential Equations

  AUTHORS: Victor K. Tolstykh

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

  JOURNAL NAME: Engineering, Vol.4 No.7, July 3, 2012

  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.