Introduction to the Theory of Nonlinear Optimization

Beschreibung

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 4^th 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.
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 4^th 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.
The extensively revised fourth edition of a standard work in its field Covers important areas of nonlinear optimization with particular emphasis on their applications Includes a new chapter on discrete-continuous optimization

Autor*in

Johannes Jahn

Themen in »Introduction to the Theory of Nonlinear Optimization«

calculus of variations control theory optimality conditions optimization theory approximation theory linear optimization tangent cones nonlinear optimization Lagrange multiplier rule application to extended semidefinite optimization discrete-continuous optimization

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