An Algorigtm for Singular Value Decomposition of Matrices in Blocks
Numerical Analysis
2008-06-07 v2 Information Retrieval
Commutative Algebra
Abstract
Two methods to decompose block matrices analogous to Singular Matrix Decomposition are proposed, one yielding the so called economy decomposition, and other yielding the full decomposition. This method is devised to avoid handling matrices bigger than the biggest blocks, so it is particularly appropriate when a limitation on the size of matrices exists. The method is tested on a document-term matrix (17780x3204) divided in 4 blocks, the upper-left corner being 215x215.
Cite
@article{arxiv.0804.4305,
title = {An Algorigtm for Singular Value Decomposition of Matrices in Blocks},
author = {Alvaro Francisco Huertas-Rosero},
journal= {arXiv preprint arXiv:0804.4305},
year = {2008}
}
Comments
14 pages, 8 figures. Technical Report Replacement with updated reference of publication