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, Euclidean buildings and many
other important spaces. While the role of Hadamard spaces in
geometry and geometric group theory has been studied for a long
time, first analytical results appeared as late as in the 1990s.
Remarkably, it turns out that Hadamard spaces are appropriate for
the theory of convex sets and convex functions outside of linear
spaces. Since convexity underpins a large number of results in the
geometry of Hadamard spaces, we believe that its systematic study
is of substantial interest. Optimization methods then address
various computational issues and provide us with approximation
algorithms which may be useful in sciences and engineering. We
present a detailed description of such an application to
computational phylogenetics. The book is primarily aimed at both
graduate students and researchers in analysis and optimization, but
it is accessible to advanced undergraduate students as well.
General
| Imprint: |
De Gruyter
|
| Country of origin: |
Germany |
| Series: |
De Gruyter Series in Nonlinear Analysis & Applications |
| Release date: |
September 2014 |
| First published: |
2014 |
| Authors: |
Miroslav Bacak
|
| Dimensions: |
240 x 170mm (L x W) |
| Format: |
Hardcover - Cloth over boards
|
| Pages: |
193 |
| Edition: |
Digital original |
| ISBN-13: |
978-3-11-036103-2 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Combinatorics & graph theory
Promotions
|
| LSN: |
3-11-036103-5 |
| Barcode: |
9783110361032 |
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