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.
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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}
}
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Last update: February 21, 2026.