Introduction to the Theory of Nonlinear Optimization
Jahn, Johannes,
Introduction to the Theory of Nonlinear Optimization by Johannes Jahn - Four Edition - Cham Springer 2020 - online resource (X, 292 p.)
and Problem Formulation -- Existence Theorems for Minimal Points -- Generalized Derivatives -- Tangent Cones -- Generalized Lagrange Multiplier Rule -- Duality -- Application to Extended Semidefinite Optimization -- Direct Treatment of Special Optimization Problems
Acceso restringido a usuarios UCM = Restricted use for UCM patrons
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
978-3-030-42760-3
10.1007/978-3-540-49379-2 doi
Matemáticas
QA402.5 / .J34 2020 EB
Introduction to the Theory of Nonlinear Optimization by Johannes Jahn - Four Edition - Cham Springer 2020 - online resource (X, 292 p.)
and Problem Formulation -- Existence Theorems for Minimal Points -- Generalized Derivatives -- Tangent Cones -- Generalized Lagrange Multiplier Rule -- Duality -- Application to Extended Semidefinite Optimization -- Direct Treatment of Special Optimization Problems
Acceso restringido a usuarios UCM = Restricted use for UCM patrons
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
978-3-030-42760-3
10.1007/978-3-540-49379-2 doi
Matemáticas
QA402.5 / .J34 2020 EB