To the top

Page Manager: Webmaster
Last update: 9/11/2012 3:13 PM

Tell a friend about this page
Print version

Geometry of Matrix Decomp… - University of Gothenburg, Sweden Till startsida
To content Read more about how we use cookies on

Contact form


Note! If you want an answer on a question you must specify your email address

Geometry of Matrix Decompositions Seen Through Optimal Transport and Information Geometry

Journal article
Authors Klas Modin
Published in Journal of Geometric Mechanics
Volume 9
Issue 3
Pages 335-390
ISSN 1941-4889
Publication year 2017
Pages 335-390
Language en
Subject categories Computational Mathematics, Geometry


We survey classical matrix decomposition and their connection to optimal mass transport (OMT) and information geometry, emphasizing the Riemannian point-of-view. The link is obtained by considering OMT and information geometry in the category of linear transformations and multivariate Gaussian distributions. In this way, OMT is directly related to the polar decomposition of matrices, whereas information geometry is directly related to the QR, Cholesky, spectral, and singular value decompositions.

Page Manager: Webmaster|Last update: 9/11/2012

The University of Gothenburg uses cookies to provide you with the best possible user experience. By continuing on this website, you approve of our use of cookies.  What are cookies?

Denna text är utskriven från följande webbsida:
Utskriftsdatum: 2020-08-09