Convex analysis and nonlinear optimization : theory and examples (eBook, 2000) [WorldCat.org]
skip to content
Convex analysis and nonlinear optimization : theory and examples Preview this item
ClosePreview this item
Checking...

Convex analysis and nonlinear optimization : theory and examples

Author: Jonathan M Borwein; Adrian S Lewis
Publisher: New York : Springer, [2000] ©2000
Series: CMS books in mathematics, 3.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
"This book is a concise account of convex analysis, its applications and extensions, for a broad audience. Blurring as it does the distinctions between mathematical optimization and modern analysis, the elegant language of convexity and duality is indispensable both in computational optimization and for understanding variational properties of functions and multifunctions. Primarily aimed at first-year graduate  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy online

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Borwein, Jonathan M.
Convex analysis and nonlinear optimization
(DLC) 00020826
(OCoLC)43227399
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Jonathan M Borwein; Adrian S Lewis
ISBN: 9781475798593 1475798598 9781475798616 147579861X
OCLC Number: 861705948
Language Note: English.
Description: 1 online resource (x, 273 pages)
Contents: 1. Background. 1.1. Euclidean Spaces. 1.2. Symmetric Matrices --
2. Inequality Constraints. 2.1. Optimality Conditions. 2.2. Theorems of the Alternative. 2.3. Max-functions --
3. Fenchel Duality. 3.1. Subgradients and Convex Functions. 3.2. The Value Function. 3.3. The Fenchel Conjugate --
4. Convex Analysis. 4.1. Continuity of Convex Functions. 4.2. Fenchel Biconjugation. 4.3. Lagrangian Duality --
5. Special Cases. 5.1. Polyhedral Convex Sets and Functions. 5.2. Functions of Eigenvalues. 5.3. Duality for Linear and Semidefinite Programming. 5.4. Convex Process Duality --
6. Nonsmooth Optimization. 6.1. Generalized Derivatives. 6.2. Regularity and Strict Differentiability. 6.3. Tangent Cones.
Series Title: CMS books in mathematics, 3.
Responsibility: Jonathan M. Borwein, Adrian S. Lewis.

Abstract:

The aim of this volume is to provide a concise, accessible account of convex analysis and its applications and extensions, for a broad audience. It can serve as a teaching text, at roughly the level  Read more...

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.