Introduction to the Theory of Nonlinear Optimization

Description:

This book serves as an introductory text to optimization theory in normed spaces. Topics of this book are existence results, various differentiability notions together with optimality conditions, the contingent cone, a generalization of the Lagrange multiplier rule, duality theory, and the investigation of linear quadratic and time minimal control problems. This textbook presents fundamentals with particular emphasis on the application to problems in the calculus of variations, approximation and optimal control theory. The reader is expected to have a basic knowledge of linear functional analysis. The book contains examples and several exercises.

subjects: Mathematics,  Mathematical optimization,  Engineering,  Operations research,  Nonlinear theories,  Calculus of Variations and Optimal Control; Optimization,  Operations Research/Decision Theory,  Numerical and Computational Methods in Engineering,  Computational intelligence,  Operation Research/Decision Theory