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Convex analysis and monotone operato...
~
Bauschke, Heinz H.
Convex analysis and monotone operator theory in Hilbert spaces
Record Type:
Electronic resources : Monograph/item
Title/Author:
Convex analysis and monotone operator theory in Hilbert spacesby Heinz H. Bauschke, Patrick L. Combettes.
Author:
Bauschke, Heinz H.
other author:
Combettes, Patrick L.
Published:
Cham :Springer International Publishing :2017.
Description:
xix, 619 p. :ill., digital ;24 cm.
Contained By:
Springer eBooks
Subject:
Hilbert space.
Online resource:
http://dx.doi.org/10.1007/978-3-319-48311-5
ISBN:
9783319483115$q(electronic bk.)
Convex analysis and monotone operator theory in Hilbert spaces
Bauschke, Heinz H.
Convex analysis and monotone operator theory in Hilbert spaces
[electronic resource] /by Heinz H. Bauschke, Patrick L. Combettes. - 2nd ed. - Cham :Springer International Publishing :2017. - xix, 619 p. :ill., digital ;24 cm. - CMS books in mathematic,1613-5237. - CMS books in mathematics..
Background -- Hilbert Spaces -- Convex Sets -- Convexity and Notation of Nonexpansiveness -- Fejer Monotonicity and Fixed Point Iterations -- Convex Cones and Generalized Interiors -- Support Functions and Polar Sets -- Convex Functions -- Lower Semicontinuous Convex Functions -- Convex Functions: Variants -- Convex Minimization Problems -- Infimal Convolution -- Conjugation -- Further Conjugation Results -- Fenchel-Rockafellar Duality -- Subdifferentiability of Convex Functions -- Differentiability of Convex Functions -- Further Differentiability Results -- Duality in Convex Optimization -- Monotone Operators -- Finer Properties of Monotone Operators -- Stronger Notions of Monotonicity -- Resolvents of Monotone Operators -- Proximity Operators -- Sums of Monotone Operators -- Zeros of Sums of Monotone Operators -- Fermat's Rule in Convex Optimization -- Proximal Minimization -- Projection Operators -- Best Approximation Algorithms.
ISBN: 9783319483115$q(electronic bk.)
Standard No.: 10.1007/978-3-319-48311-5doiSubjects--Topical Terms:
184635
Hilbert space.
LC Class. No.: QA322.4 / .B38 2017
Dewey Class. No.: 515.733
Convex analysis and monotone operator theory in Hilbert spaces
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by Heinz H. Bauschke, Patrick L. Combettes.
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CMS books in mathematic,
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1613-5237
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Background -- Hilbert Spaces -- Convex Sets -- Convexity and Notation of Nonexpansiveness -- Fejer Monotonicity and Fixed Point Iterations -- Convex Cones and Generalized Interiors -- Support Functions and Polar Sets -- Convex Functions -- Lower Semicontinuous Convex Functions -- Convex Functions: Variants -- Convex Minimization Problems -- Infimal Convolution -- Conjugation -- Further Conjugation Results -- Fenchel-Rockafellar Duality -- Subdifferentiability of Convex Functions -- Differentiability of Convex Functions -- Further Differentiability Results -- Duality in Convex Optimization -- Monotone Operators -- Finer Properties of Monotone Operators -- Stronger Notions of Monotonicity -- Resolvents of Monotone Operators -- Proximity Operators -- Sums of Monotone Operators -- Zeros of Sums of Monotone Operators -- Fermat's Rule in Convex Optimization -- Proximal Minimization -- Projection Operators -- Best Approximation Algorithms.
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Hilbert space.
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Approximation theory.
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Monotone operators.
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Nonlinear functional analysis.
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Mathematics.
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http://dx.doi.org/10.1007/978-3-319-48311-5
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Mathematics and Statistics (Springer-11649)
based on 0 review(s)
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EB QA322.4 B351 2017
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1 records • Pages 1 •
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http://dx.doi.org/10.1007/978-3-319-48311-5
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