Optimization Algorithms on Matrix Manifolds PDF (Adobe DRM) download by P.-A. Absil

Optimization Algorithms on Matrix Manifolds

Princeton University Press
Publication date: December 2007
ISBN: 9781400830244
Digital Book format: PDF (Adobe DRM)

Buy PDF

List price:
$65.00
Our price:
$60.99

You save: $4.01 (6%)
GET THIS EBOOK
FOR FREE!
Join our Facebook sweepstake, share and
get 10 likes. Winners
get notified in 24H!
Many problems in the sciences and engineering can be rephrased as optimization problems on matrix search spaces endowed with a so-called manifold structure. This book shows how to exploit the special structure of such problems to develop efficient numerical algorithms. It places careful emphasis on both the numerical formulation of the algorithm and its differential geometric abstraction--illustrating how good algorithms draw equally from the insights of differential geometry, optimization, and numerical analysis. Two more theoretical chapters provide readers with the background in differential geometry necessary to algorithmic development. In the other chapters, several well-known optimization methods such as steepest descent and conjugate gradients are generalized to abstract manifolds. The book provides a generic development of each of these methods, building upon the material of the geometric chapters. It then guides readers through the calculations that turn these geometrically formulated methods into concrete numerical algorithms. The state-of-the-art algorithms given as examples are competitive with the best existing algorithms for a selection of eigenspace problems in numerical linear algebra. Optimization Algorithms on Matrix Manifolds offers techniques with broad applications in linear algebra, signal processing, data mining, computer vision, and statistical analysis. It can serve as a graduate-level textbook and will be of interest to applied mathematicians, engineers, and computer scientists.
Please sign in to review this product.
Format:
Devices:
Optimization Algorithms on Matrix Manifolds PDF (Adobe DRM) can be read on any device that can open PDF (Adobe DRM) files.

File Size:
1805 Kb
Language:
ENG
Copy From Text:
Disabled.
Printing:
Disabled.