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Lectures on Variational Analysis
Lectures on Variational Analysis
Asen L. Dontchev
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This book presents an introduction to variational analysis, a field which unifies theories and techniques developed in calculus of variations, optimization, and control, and covers convex analysis, nonsmooth analysis, and set-valued analysis. It focuses on problems with constraints, the analysis of which involves set-valued mappings and functions that are not differentiable. Applications of variational analysis are interdisciplinary, ranging from financial planning to steering a flying object. The book is addressed to graduate students, researchers, and practitioners in mathematical sciences, engineering, economics, and finance. A typical reader of the book should be familiar with multivariable calculus and linear algebra. Some basic knowledge in optimization, control, and elementary functional analysis is desirable, but all necessary background material is included in the book.
Categories:
Year:
2021
Edition:
1
Publisher:
Springer Nature Switzerland
Language:
English
Pages:
219
ISBN 13:
9783030799113
ISBN:
9783030799106,9783030799113
Series:
Applied Mathematical Sciences 205
Your tags:
constrained optimization, set-valued analysis, non smooth analysis, metric regularity, strong regularity, sensitivity, Lipschitz stability, mathematical programming, optimal control
This book is not available due to the complaint of the copyright holder.
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