Logo

Optimization Algorithms on Matrix Manifolds

Large book cover: Optimization Algorithms on Matrix Manifolds

Optimization Algorithms on Matrix Manifolds
by

Publisher: Princeton University Press
ISBN/ASIN: 0691132984
ISBN-13: 9780691132983
Number of pages: 240

Description:
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.

Home page url

Download or read it online for free here:
Download link
(multiple PDF files)

Similar books

Book cover: Special Course in Functional Analysis: (Non-)Commutative TopologySpecial Course in Functional Analysis: (Non-)Commutative Topology
by - Aalto TKK
In this book you will learn something about functional analytic framework of topology. And you will get an access to more advanced literature on non-commutative geometry, a quite recent topic in mathematics and mathematical physics.
(6882 views)
Book cover: Noncommutative Localization in Algebra and TopologyNoncommutative Localization in Algebra and Topology
by - Cambridge University Press
Noncommutative localization is a technique for constructing new rings by inverting elements, matrices and more generally morphisms of modules. The applications to topology are via the noncommutative localizations of the fundamental group rings.
(5068 views)
Book cover: TopologyTopology
by - Harvard University
Contents: Introduction; Background in set theory; Topology; Connected spaces; Compact spaces; Metric spaces; Normal spaces; Algebraic topology and homotopy theory; Categories and paths; Path lifting and covering spaces; Global topology; etc.
(3201 views)
Book cover: ManifoldsManifolds
by - King's College London
From the table of contents: Manifolds (Elementary Topology and Definitions); The Tangent Space; Maps Between Manifolds; Vector Fields; Tensors; Differential Forms; Connections, Curvature and Metrics; Riemannian Manifolds.
(5489 views)