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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 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 Variational 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
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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 Sums of Monotone Operators
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    Chapter 25 Zeros of Sums of Monotone Operators
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    Chapter 26 Fermat’s Rule in Convex Optimization
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    Chapter 27 Proximal Minimization
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    Chapter 28 Projection Operators
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    Chapter 29 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 New York, January 2011
DOI 10.1007/978-1-4419-9467-7
ISBNs
978-1-4419-9466-0, 978-1-4419-9467-7
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 228 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
United States 8 4%
Italy 2 <1%
Germany 2 <1%
Canada 2 <1%
Denmark 1 <1%
France 1 <1%
Spain 1 <1%
China 1 <1%
Unknown 210 92%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 103 45%
Student > Master 25 11%
Researcher 21 9%
Student > Bachelor 18 8%
Professor 10 4%
Other 30 13%
Unknown 21 9%
Readers by discipline Count As %
Mathematics 76 33%
Engineering 58 25%
Computer Science 44 19%
Economics, Econometrics and Finance 5 2%
Physics and Astronomy 5 2%
Other 10 4%
Unknown 30 13%