*Result*: An introduction to convexity, optimization, and algorithms
*Title*:
An introduction to convexity, optimization, and algorithms / Heinz H. Bauschke (The University of British Columbia, Kelowna, Canada), Walaa M. Moursi (University of Waterloo, Waterloo, Canada)
*Author/editor-in-chief*:
*Publication*:
Philadelphia : Society for Industrial and Applied Mathematics, [2024]Philadelphia : Mathematical Optimization Society, [2024]
*Physical description scale*:
xv, 175 Seiten : Illustrationen, Diagramme
*Format*:
*Language*:
*eng*
*series_multipart*:
MOS-SIAM series on optimization ; 34
*Other edition entry*:
Erscheint auch als Online-Ausgabe: Bauschke, Heinz H. Introduction to convexity, optimization, and algorithms. - Philadelphia : Society for Industrial and Applied Mathematics, [2024]. - ISBN 9781611977806
*Notes*:
Setting the stage -- Affine and convex sets -- Convex and lower semicontinuous functions -- More on convex and lower semicontinuous functions -- Global and local minimizers -- Even more on convex functions -- Support functions and polar cones -- Projection and separation -- Subgradients -- Normal cones -- Directional and classical derivatives -- Subgradients, derivatives, and the Bregman distance -- Subgradient calculus -- Composition and maximum -- Minimizing a sum and the Fritz John necessary conditions -- Karush-Kuhn-Tucker conditions -- A worked-out KKT example -- Fenchel conjugates -- Biconjugates and Fenchel calculus -- Fenchel-Rockafellar duality -- Infimal convolution and conjugacy -- Nonexpansive operators -- Lipschitz continuity and smoothness -- Strong convexity -- Proximal mappings -- Prox decomposition -- Envelopes -- Subgradient methods -- The proximal gradient method -- The fast iterative soft thresholding algorithm (FISTA) -- Douglas-Rachford algorithm -- Peaceman-Rachford algorithm -- The product space trick
*RVK-Notation*:
*Subject Added Keywords*:
*ISBN*:
9781611977790 ; 9781611977806 (Sekundärausgabe)