Convex Analysis and Optimization in Hadamard Spaces / / Miroslav Bacak.
In the past two decades, convex analysis and optimization have been developed in Hadamard spaces. This book represents a first attempt to give a systematic account on the subject. Hadamard spaces are complete geodesic spaces of nonpositive curvature. They include Hilbert spaces, Hadamard manifolds,...
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| Superior document: | Title is part of eBook package: De Gruyter DG Studies in Nonlinear Analysis and Applications |
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| VerfasserIn: | |
| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2014] ©2014 |
| Year of Publication: | 2014 |
| Language: | English |
| Series: | De Gruyter Series in Nonlinear Analysis and Applications ,
22 |
| Online Access: | |
| Physical Description: | 1 online resource (185 p.) |
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Table of Contents:
- Frontmatter
- Preface
- Contents
- 1 Geometry of Nonpositive Curvature
- 2 Convex sets and convex functions
- 3 Weak convergence in Hadamard spaces
- 4 Nonexpansive mappings
- 5 Gradient flow of a convex functional
- 6 Convex optimization algorithms
- 7 Probabilistic tools in Hadamard spaces
- 8 Tree space and its applications
- References
- Index
- Backmatter