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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, extended semidefinite optimization, 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.

Mathematical optimization. --- Nonlinear theories. --- Optimisation mathématique --- Théories non linéaires --- Mathematical optimization --- Nonlinear theories --- Operations Research --- Calculus --- Mathematics --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Nonlinear problems --- Nonlinearity (Mathematics) --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematics. --- Operations research. --- Decision making. --- Calculus of variations. --- Computational intelligence. --- Calculus of Variations and Optimal Control; Optimization. --- Operation Research/Decision Theory. --- Computational Intelligence. --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management --- Management decisions --- Choice (Psychology) --- Problem solving --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Math --- Science --- Decision making --- Engineering. --- Operations Research/Decision Theory. --- Construction --- Industrial arts --- Technology --- Mathematical analysis --- Operations research --- Simulation methods --- System analysis

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book offers an introduction to optimization theory in normed spaces. The topics covered include existence results, various differentiability notions together with optimality conditions, the contingent cone, a generalization of the Lagrange multiplier rule, duality theory, extended semidefinite optimization, and an investigation of linear quadratic and time minimal control problems. The 4th edition of this book has been extensively revised and a new chapter on discrete-continuous optimization has been added. This textbook focuses on the fundamentals, with particular emphasis on their application to problems in the calculus of variations, approximation and optimal control theory. The reader is assumed to have a basic grasp of linear functional analysis.

Mathematical optimization. --- Nonlinear theories. --- Optimization. --- Operations research. --- Decision making. --- Computational intelligence. --- Operations Research/Decision Theory. --- Computational Intelligence. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management --- Management decisions --- Choice (Psychology) --- Problem solving --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Decision making