The singular value decomposition and the QR decomposition in the extended max algebra


Reference:

B. De Schutter and B. De Moor, "The singular value decomposition and the QR decomposition in the extended max algebra," Tech. report 95-06, ESAT-SISTA, K.U.Leuven, Leuven, Belgium, 27 pp., Mar. 1995.

Abstract:

In this paper we present an alternative proof for the existence theorem of the singular value decomposition in the extended max algebra and we propose some possible extensions of the max-algebraic singular value decomposition. We also prove the existence of a kind of QR decomposition in the extended max algebra.

Downloads:


Bibtex entry:

@techreport{DeSDeM:95-06,
author={B. {D}e Schutter and B. {D}e Moor},
title={{The} singular value decomposition and the {QR} decomposition in the extended max algebra},
number={95-06},
institution={ESAT-SISTA, K.U.Leuven},
address={Leuven, Belgium},
month=mar,
year={1995}
}


Go to the publications overview page.

This page is maintained by Bart De Schutter. Last update: March 1, 2025.