R. M. Lewis, “The Adjoint Approach in a Nutshell,” SIAG/OPT Views & News, Vol. 11, No. 2, 2000, pp. 9-12.
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.