Nonsmooth Vector Functions and Continuous Optimization

Description

A recent significant innovation in mathematical sciences has been the progressive use of nonsmooth calculus, an extension of the differential calculus, as a key tool of modern analysis in many areas of mathematics, operations research, and engineering. Focusing on the study of nonsmooth vector functions, this book presents a comprehensive account of the calculus of generalized Jacobian matrices and their applications to continuous nonsmooth optimization problems and variational inequalities in finite dimensions.
The treatment is motivated by a desire to expose an elementary approach to nonsmooth calculus by using a set of matrices to replace the nonexistent Jacobian matrix of a continuous vector function. Such a set of matrices forms a new generalized Jacobian, called pseudo-Jacobian. A direct extension of the classical derivative that follows simple rules of calculus, the pseudo-Jacobian provides an axiomatic approach to nonsmooth calculus, a flexible tool for handling nonsmooth continuous optimization problems.
Illustrated by numerous examples of known generalized derivatives, the work may serve as a valuable reference for graduate students, researchers, and applied mathematicians who wish to use nonsmooth techniques and continuous optimization to model and solve problems in mathematical programming, operations research, and engineering. Readers require only a modest background in undergraduate mathematical analysis to follow the material with minimal effort.

Disclaimer:
Contents of this page are indexed from the Internet. All actions are under your responsability. Email us to report illegal contents or external links and we'll remove them immediately.

Please check the description for download links if any or do a search to find alternative books.

Can't Download?
Please search mirrors if you can't find download links for "Nonsmooth Vector Functions and Continuous Optimization" in "Description" and someone else may update the links. Check the comments when back to find any updates.

Search Mirrors
Maybe some mirror pages will be helpful, search this book at top of this page or click here to find more info.

1. Ebooks list page : 2299
2. V-Invex Functions and Vector Optimization
3. [share_ebook] Global Optimization in Action: Continuous and Lipschitz Optimization: Algorithms, Implementations and Applications
4. Generalized Convexity and Vector Optimization (Nonconvex Optimization and Its Applications)
5. Mathematics of Optimization: Smooth and Nonsmooth Case (repost)
6. Optimization and Nonsmooth Analysis (Classics in Applied Mathematics)
7. Nonsmooth Equations in Optimization: Regularity, Calculus, Methods and Applications
8. [request_ebook] Constructive Nonsmooth Analysis (Approximation & Optimization, Vol. 7)
9. Volterra and Integral Equations of Vector Functions
10. Mapped Vector Basis Functions for Electromagnetic Integral Equations
11. Duality in Vector Optimization
12. Stochastic Optimization in Continuous Time
13. Generalized Convexity and Vector Optimization
14. Network Optimization: Continuous and Discrete Models
15. Optimization by Vector Space Methods (Decision & Control)
16. Continuous-time Stochastic Control and Optimization with Financial Applications