Advanced Search
DSpace@MIT

The Jordan forms of AB and BA∗

Research and Teaching Output of the MIT Community

The Jordan forms of AB and BA∗

Download
Author: Lippert, Ross A.; Strang, Gilbert
Department: Massachusetts Institute of Technology. Dept. of Mathematics
Publisher: International Linear Algebra Society
Date Issued: 2009-06
Abstract:
The relationship between the Jordan forms of the matrix products AB and BA for some given A and B was first described by Harley Flanders in 1951. Their non-zero eigenvalues and non-singular Jordan structures are the same, but their singular Jordan block sizes can differ by 1. We present an elementary proof that owes its simplicity to a novel use of the Weyr characteristic.
URI: http://hdl.handle.net/1721.1/63178
ISSN: 1081-3810
Citation: Lippert, Ross A. and Gilbert Strang. "The Jordan Forms of AB and BA*." Electronic Journal of Linear Algebra 18 (2009) : 281-288.
Version: Final published version
Terms of Use: Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Published As: http://www.math.technion.ac.il/iic/ela/ela-articles/articles/vol18_pp281-288.pdf
Journal: Electronic Journal of Linear Algebra

Show full item metadata

Files in this item

Name Size Format
Downloadable Full Text - PDF

This item appears in the following Collection(s)

Open Access