An easy path to convex analysis and applications
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The work An easy path to convex analysis and applications represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
An easy path to convex analysis and applications
Resource Information
The work An easy path to convex analysis and applications represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 An easy path to convex analysis and applications
 Statement of responsibility
 Boris S. Mordukhovich, Nguyen Mau Nam
 Subject

 Convex functions
 Convex geometry
 Convex geometry
 Fenchel conjugate
 FermatTorricelli problem
 Helly theorem
 MATHEMATICS  Geometry  General
 Mathematical analysis
 Mathematical analysis
 Nash equilibrium
 Nonsmooth optimization
 Nonsmooth optimization
 Radon theorem
 Weiszfeld algorithm
 convex function
 convex set
 directional derivative
 distance function
 generalized differentiation
 minimal time function
 normal cone
 optimal value function
 optimization
 setvalued mapping
 smallest enclosing ball problem
 subdifferential
 subgradient
 subgradient algorithm
 support function
 Affine set
 Carathéodory theorem
 Convex functions
 Language
 eng
 Summary
 Convex optimization has an increasing impact on many areas of mathematics, applied sciences, and practical applications. It is now being taught at many universities and being used by researchers of different fields. As convex analysis is the mathematical foundation for convex optimization, having deep knowledge of convex analysis helps students and researchers apply its tools more effectively. The main goal of this book is to provide an easy access to the most fundamental parts of convex analysis and its applications to optimization. Modern techniques of variational analysis are employed to clarify and simplify some basic proofs in convex analysis and build the theory of generalized differentiation for convex functions and sets in finite dimensions. We also present new applications of convex analysis to location problems in connection with many interesting geometric problems such as the FermatTorricelli problem, the Heron problem, the Sylvester problem, and their generalizations. Of course, we do not expect to touch every aspect of convex analysis, but the book consists of sufficient material for a first course on this subject. It can also serve as supplemental reading material for a course on convex optimization and applications
 Cataloging source
 CaBNVSL
 Citation source

 Compendex
 INSPEC
 Google scholar
 Google book search
 Dewey number
 516.08
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA331.5
 LC item number
 .M668 2014
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Synthesis lectures on mathematics and statistics,
 Series volume
 #14
 Target audience

 adult
 specialized
Context
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