ENGLISH

An Easy Path to Convex Analysis and Applications

By Boris Mordukhovich; Nguyen Mau Nam

Book information

Publisher
Springer Nature
Year
2023
ISBN
9783031264580, 9783031264573, 3031264584
Language
english
Format
EPUB
Filesize
29 MB (30538113 bytes)
Pages
313\0
Library
SoftArchive
Time added
2023-06-15 21:19:12

Description

This book examines the most fundamental parts of convex analysis and its applications to optimization and location problems. Accessible techniques of variational analysis are employed to clarify and simplify some basic proofs in convex analysis and to build a theory of generalized differentiation for convex functions and sets in finite dimensions. The book serves as a bridge for the readers who have just started using convex analysis to reach deeper topics in the field. Detailed proofs are presented for most of the results in the book and also included are many figures and exercises for better understanding the material. Applications provided include both the classical topics of convex optimization and important problems of modern convex optimization, convex geometry, and facility location.

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