Constructive Nonsmooth Analysis
Published in July 1995
Book
Paperback/Softback
416 pages
978-3-631-46270-6 (ISBN)
Description
Many practical problems can be described adequately only with the aid of nonsmooth functions. The book is mainly devoted to describing problems, tools and results in the area of Nonsmooth Analysis and Nondifferentiable Optimization, in particular those that can be easily transformed into practically applicable and computationally implementable ones. Most of the attention is paid to different generalizations of the concept of derivative (subdifferentials in Convex Analysis, the Clarke Subdifferential, Quasidifferentials, Codifferentials), Calculus of Quasidifferentials, Implicit Functions, Nonsmooth Extremal Problems.
Reviews / Votes
«The book gives a review of the known and some latest results in quasidifferentiable programming and related fields. With respect to its structure it can be well used for lectures in advanced studies and as handbook for scientists in nonsmooth analysis.» (A. Hoffmann, Zentralblatt für Mathematik und ihre Grenzgebiete)More details
Persons
Vladimir F. Demyanov is professor of Applied Mathematics at the Leningrad State University.
Alexander M. Rubinov is professor of Mathematics at the University of the Negev, Israel.
Alexander M. Rubinov is professor of Mathematics at the University of the Negev, Israel.
Content
Contents: Homogeneous approximations of functions, sets and mappings - The Clarke derivatives and subdifferentials - Quasidifferentiable functions, codifferentiable functions - Extremal problems - Implicit function theorem.