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: Lectures on Sheaf TheoryLectures on Sheaf Theory
by - Tata Institute of Fundamental Research
A sheaf is a tool for systematically tracking locally defined data attached to the open sets of a topological space. Contents: Sheaves; Sections; Cohomology groups of a space with coefficients in a presheaf; Introduction of the family Phi; etc.
(8731 views)
Book cover: Topology and Physics: A Historical EssayTopology and Physics: A Historical Essay
by - arXiv
In this essay we wish to embark on the telling of a story which, almost certainly, stands only at its beginning. We shall discuss the links and the interaction between one very old subject, physics, and a much newer one, topology.
(13122 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.
(8464 views)
Book cover: Lecture Notes on Seiberg-Witten InvariantsLecture Notes on Seiberg-Witten Invariants
by - Springer
A streamlined introduction to the theory of Seiberg-Witten invariants suitable for second-year graduate students. These invariants can be used to prove that there are many compact topological four-manifolds which have more than one smooth structure.
(9283 views)