Bauschke, Heinz H.
Convex Analysis and Monotone Operator Theory in Hilbert Spaces
1. Background
Heinz H. Bauschke, Patrick L. Combettes
2. Hilbert Spaces
Heinz H. Bauschke, Patrick L. Combettes
3. Convex Sets
Heinz H. Bauschke, Patrick L. Combettes
4. Convexity and Nonexpansiveness
Heinz H. Bauschke, Patrick L. Combettes
5. Fejér Monotonicity and Fixed Point Iterations
Heinz H. Bauschke, Patrick L. Combettes
6. Convex Cones and Generalized Interiors
Heinz H. Bauschke, Patrick L. Combettes
7. Support Functions and Polar Sets
Heinz H. Bauschke, Patrick L. Combettes
8. Convex Functions
Heinz H. Bauschke, Patrick L. Combettes
9. Lower Semicontinuous Convex Functions
Heinz H. Bauschke, Patrick L. Combettes
10. Convex Functions: Variants
Heinz H. Bauschke, Patrick L. Combettes
11. Convex Variational Problems
Heinz H. Bauschke, Patrick L. Combettes
12. Infimal Convolution
Heinz H. Bauschke, Patrick L. Combettes
13. Conjugation
Heinz H. Bauschke, Patrick L. Combettes
14. Further Conjugation Results
Heinz H. Bauschke, Patrick L. Combettes
15. Fenchel–Rockafellar Duality
Heinz H. Bauschke, Patrick L. Combettes
16. Subdifferentiability
Heinz H. Bauschke, Patrick L. Combettes
17. Differentiability of Convex Functions
Heinz H. Bauschke, Patrick L. Combettes
18. Further Differentiability Results
Heinz H. Bauschke, Patrick L. Combettes
19. Duality in Convex Optimization
Heinz H. Bauschke, Patrick L. Combettes
20. Monotone Operators
Heinz H. Bauschke, Patrick L. Combettes
21. Finer Properties of Monotone Operators
Heinz H. Bauschke, Patrick L. Combettes
22. Stronger Notions of Monotonicity
Heinz H. Bauschke, Patrick L. Combettes
23. Resolvents of Monotone Operators
Heinz H. Bauschke, Patrick L. Combettes
24. Sums of Monotone Operators
Heinz H. Bauschke, Patrick L. Combettes
25. Zeros of Sums of Monotone Operators
Heinz H. Bauschke, Patrick L. Combettes
26. Fermat’s Rule in Convex Optimization
Heinz H. Bauschke, Patrick L. Combettes
27. Proximal Minimization
Heinz H. Bauschke, Patrick L. Combettes
28. Projection Operators
Heinz H. Bauschke, Patrick L. Combettes
29. Best Approximation Algorithms
Heinz H. Bauschke, Patrick L. Combettes
Avainsanat: Mathematics, Calculus of Variations and Optimal Control, Optimization, Algorithms, Visualization
- Tekijä(t)
- Bauschke, Heinz H.
- Combettes, Patrick L.
- Julkaisija
- Springer
- Julkaisuvuosi
- 2011
- Kieli
- en
- Painos
- 1
- Sarja
- CMS Books in Mathematics
- Sivumäärä
- 16 sivua
- Kategoria
- Eksaktit luonnontieteet
- Tiedostomuoto
- E-kirja
- eISBN (PDF)
- 9781441994677