Ebook: Lectures on Variational Analysis
Author: Asen L. Dontchev
- Genre: Mathematics // Optimization. Operations Research
- Tags: constrained optimization set-valued analysis non smooth analysis metric regularity strong regularity sensitivity Lipschitz stability mathematical programming optimal control
- Series: Applied Mathematical Sciences 205
- Year: 2021
- Publisher: Springer Nature Switzerland
- City: Cham, Switzerland
- Edition: 1
- Language: English
- pdf
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.
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