Looking for an inspection copy?
This title is not currently available on inspection
No one working in duality should be without a copy of Convex Analysis and Variational Problems. This book contains different developments of infinite dimensional convex programming in the context of convex analysis, including duality, minmax and Lagrangians, and convexification of nonconvex optimization problems in the calculus of variations (infinite dimension). It also includes the theory of convex duality applied to partial differential equations; no other reference presents this in a systematic way. The minmax theorems contained in this book have many useful applications, in particular the robust control of partial differential equations in finite time horizon. First published in English in 1976, this SIAM Classics in Applied Mathematics edition contains the original text along with a new preface and some additional references.
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: November 1999
- format: Paperback
- isbn: 9780898714500
- length: 416 pages
- dimensions: 230 x 155 x 22 mm
- weight: 0.568kg
- availability: Available in limited markets only
Table of Contents
Preface to the classics edition
Part I. Fundamentals of Convex Analysis. I. Convex functions
2. Minimization of convex functions and variational inequalities
3. Duality in convex optimization
Part II. Duality and Convex Variational Problems. 4. Applications of duality to the calculus of variations (I)
5. Applications of duality to the calculus of variations (II)
6. Duality by the minimax theorem
7. Other applications of duality
Part III. Relaxation and Non-Convex Variational Problems. 8. Existence of solutions for variational problems
9. Relaxation of non-convex variational problems (I)
10. Relaxation of non-convex variational problems (II)
Appendix I. An a priori estimate in non-convex programming
Appendix II. Non-convex optimization problems depending on a parameter
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email email@example.comRegister Sign in
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.Continue ×
Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.×