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Even Convexity and Optimization : Handling Strict Inequalities / by María D. Fajardo, Miguel A. Goberna, Margarita M.L. Rodríguez, José Vicente-Pérez
(EURO Advanced Tutorials on Operational Research. ISSN:23646888)

Publisher (Cham : Springer International Publishing : Imprint: Springer)
Year 2020
Edition 1st ed. 2020.
Authors *Fajardo, María D author
Goberna, Miguel A author
Rodríguez, Margarita M.L author
Vicente-Pérez, José author
SpringerLink (Online service)

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OB00161273 Springer Business and Management eBooks (電子ブック) 9783030534561

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Material Type E-Book
Media type 機械可読データファイル
Size XV, 181 p. 41 illus., 19 illus. in color : online resource
Notes Evenly convex sets - Linear systems containing strict inequalities -- Evenly convex polyhedra - Finite linear systems containing strict inequalities -- Evenly quasiconvex functions -- Evenly convex functions -- Extensions to infinite-dimensional spaces
This tutorial is the first comprehensive introduction to (possibly infinite) linear systems containing strict inequalities and evenly convex sets. The book introduces their application to convex optimization. Particular attention is paid to evenly convex polyhedra and finite linear systems containing strict inequalities. The book also analyzes evenly convex and quasiconvex functions from a conjugacy and duality perspective. It discusses the applications of these functions in economics. Written in an expository style the main concepts and basic results are illustrated with suitable examples and figures
HTTP:URL=https://doi.org/10.1007/978-3-030-53456-1
Subjects LCSH:Operations research
LCSH:Management science
LCSH:Econometrics
LCSH:Mathematical optimization
FREE:Operations Research and Decision Theory
FREE:Operations Research, Management Science
FREE:Quantitative Economics
FREE:Continuous Optimization
Classification LCC:T57.6-.97
DC23:658.403
ID 8000069200
ISBN 9783030534561

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