Optimization : Algorithms and Consistent Approximations (Applied Mathematical Sciences)
Editorial Reviews
Book Description
This book covers algorithms and discretization procedures for the solution of nonlinear programming, semi-infinite optimization and optimal control problems. Readers will find of particular interest the exhaustive modern treatment of optimality conditions and algorithms for min-max problems, as well as the newly developed theory of consistent approximations and the treatment of semi-infinite optimization and optimal control problems in this framework. This book presents the first treatment of optimization algorithms for optimal control problems with state-trajectory and control constraints, and fully accounts for all the approximations that one must make in their solution. It is also the first to make use of the concepts of epi-convergence and optimality functions in the construction of consistent approximations to infinite dimensional problems.
Book Description
This book covers algorithms and discretization procedures for the solution of nonlinear progamming, semi-infinite optimization and optimal control problems. Among the important features included are the theory of algorithms represented as point-to-set maps, the treatment of min-max problems with and without constraints, the theory of consistent approximation which provides a framework for the solution of semi-infinite optimization, optimal control, and shape optimization problems with very general constraints, using simple algorithms that call standard nonlinear programming algorithms as subroutines, the completeness with which algorithms are analysed, and chapter 5 containing mathematical results needed in optimization from a large assortment of sources. Readers will find of particular interest the exhaustive modern treatment of optimality conditions and algorithms for min-max problems, as well as the newly developed theory of consistent approximations and the treatment of semi-infinite optimization and optimal control problems in this framework. This book presents the first treatment of optimization algorithms for optimal control problems with state-trajectory and control constraints, and fully accounts for all the approximations that one must make in their solution.It is also the first to make use of the concepts of epi-convergence and optimality functions in the construction of consistent approximations to infinite dimensional problems.
Optimization : Algorithms and Consistent Approximations (Applied Mathematical Sciences)
Optimization: Algorithms and Consistent Approximations (Applied Mathematical Sciences),Elijah Polak,Springer,0387949712,Algorithms,Algorithms (Computer Programming),Applied,Game Theory,Linear Programming,Mathematical optimization,Mathematics,Optimization (Mathematical Theory),Science/Mathematics,Mathematical modelling,Mathematics / Linear Programming,Mathematics for scientists & engineers,Optimization,Engineering
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