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Convex Analysis and Monotone Operator Theory in Hilbert Spaces

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Cover of 'Convex Analysis and Monotone Operator Theory in Hilbert Spaces'

Table of Contents

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    Book Overview
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    Chapter 1 Background
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    Chapter 2 Hilbert Spaces
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    Chapter 3 Convex Sets
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    Chapter 4 Convexity and Notions of Nonexpansiveness
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    Chapter 5 Fejér Monotonicity and Fixed Point Iterations
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    Chapter 6 Convex Cones and Generalized Interiors
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    Chapter 7 Support Functions and Polar Sets
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    Chapter 8 Convex Functions
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    Chapter 9 Lower Semicontinuous Convex Functions
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    Chapter 10 Convex Functions: Variants
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    Chapter 11 Convex Minimization Problems
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    Chapter 12 Infimal Convolution
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    Chapter 13 Conjugation
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    Chapter 14 Further Conjugation Results
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    Chapter 15 Fenchel–Rockafellar Duality
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    Chapter 16 Subdifferentiability of Convex Functions
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    Chapter 17 Differentiability of Convex Functions
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    Chapter 18 Further Differentiability Results
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    Chapter 19 Duality in Convex Optimization
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    Chapter 20 Monotone Operators
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    Chapter 21 Finer Properties of Monotone Operators
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    Chapter 22 Stronger Notions of Monotonicity
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    Chapter 23 Resolvents of Monotone Operators
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    Chapter 24 Proximity Operators
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    Chapter 25 Sums of Monotone Operators
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    Chapter 26 Zeros of Sums of Monotone Operators
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    Chapter 27 Fermat’s Rule in Convex Optimization
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    Chapter 28 Proximal Minimization
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    Chapter 29 Projection Operators
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    Chapter 30 Best Approximation Algorithms
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Citations

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Title
Convex Analysis and Monotone Operator Theory in Hilbert Spaces
Published by
Springer International Publishing, January 2017
DOI 10.1007/978-3-319-48311-5
ISBNs
978-3-31-948310-8, 978-3-31-948311-5
Authors

Bauschke, Heinz H., Combettes, Patrick L., Heinz H. Bauschke, Patrick L. Combettes

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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 209 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
United States 7 3%
Germany 2 <1%
Italy 2 <1%
Canada 2 <1%
France 1 <1%
China 1 <1%
Spain 1 <1%
Belgium 1 <1%
Denmark 1 <1%
Other 0 0%
Unknown 191 91%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 97 46%
Student > Master 23 11%
Researcher 19 9%
Student > Bachelor 16 8%
Unspecified 15 7%
Other 39 19%
Readers by discipline Count As %
Mathematics 70 33%
Engineering 55 26%
Computer Science 41 20%
Unspecified 22 11%
Physics and Astronomy 6 3%
Other 15 7%