Reference
B. De Schutter and B. De Moor, "The singular value decomposition in the
extended max algebra,"
Linear Algebra and Its
Applications, vol. 250, pp. 143-176, Jan. 1997.
Abstract
First we establish a connection between the field of the real numbers and the
extended max algebra, based on asymptotic equivalences. Next we propose a
further extension of the extended max algebra that will correspond to the field
of the complex numbers. Finally we use the analogy between the field of the
real numbers and the extended max algebra to define the singular value
decomposition of a matrix in the extended max algebra and to prove its
existence.
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BibTeX
@article{DeSDeM:94-27,
author = {De Schutter, Bart and De Moor, Bart},
title = {The Singular Value Decomposition in the Extended Max Algebra},
journal = {Linear Algebra and Its Applications},
volume = {250},
pages = {143--176},
month = jan,
year = {1997}
}