Duality for Nonconvex Approximation and Optimization (CMS Books in Mathematics)

Ivan Singer

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  • Duality for Nonconvex Approximation and Optimization
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    Most recently, many researchers have been studying more complicated classes of problems that still can be studied by means of convex analysis, so-called "anticonvex" and "convex-anticonvex" optimizaton problems. This manuscript contains an exhaustive presentation of the duality for these classes of problems and some of its generalization in the framework of abstract convexity. This manuscript will be of great interest for experts in this and related fields.

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    Duality for Nonconvex Approximation and Optimization - Ivan Singer - Google Books

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    In this monograph the author presents the theory of duality for nonconvex approximation CMS Books in Mathematics optimization in locally convex spaces. Buy Duality for Nonconvex Approximation and Optimization (CMS Books in Mathematics) on donnsboatshop.com ✓ FREE SHIPPING on qualified orders.

    Asymptotic Methods in Analysis N. Este no es un libro de mates: Applied Analysis Cornelius Lanczos. Visual Complex Analysis Tristan Needham. Other books in this series.

    The Revolutionary Era, Matthew Levinger. The Riemann Hypothesis Andrea Weirathmueller. Quiver Representations Ralf Schiffler. Banach Space Theory Petr Hajek. Techniques of Variational Analysis Jonathan M. Universitext , p. March About this textbook In this revised and extended version of his course notes from a 1-year course at Scuola Normale Superiore, Pisa, the author provides an introduction? Moreover, some details have been added as well as some new material on dynamical systems with dissipative nonlinearities and asymptotic behavior for gradient systems.

    Table of contents Gaussian Measures in Hilbert Spaces. Lecture Notes in Mathematics, Vol. December 2, About this book In November , M. Mansuy jointly gave six lectures at Columbia University, New York. These notes follow the contents of that course, covering expansion of filtration formulae; BDG inequalities up to any random time; martingales that vanish on the zero set of Brownian motion; the Azema-Emery martingales and chaos representation; the filtration of truncated Brownian motion; attempts to characterize the Brownian filtration. The book accordingly sets out to acquaint its readers with the theory and main examples of enlargements of filtrations, of either the initial or the progressive kind.

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    It is accessible to researchers and graduate students working in stochastic calculus and excursion theory, and more broadly to mathematicians acquainted with the basics of Brownian motion Table of contents Preliminaries. Sketches of Solutions for the Exercises. December About this book The theory of convex optimization has been constantly developing over the past 30 years. Most recently, many researchers have been studying more complicated classes of problems that still can be studied by means of convex analysis, so-called "anticonvex" and "convex-anticonvex" optimizaton problems.

    This manuscript contains an exhaustive presentation of the duality for these classes of problems and some of its generalization in the framework of abstract convexity.