**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.

Online version of the paper

Corresponding technical report: pdf file (282 KB)

@article{DeSDeM:94-27,

author={B. {D}e Schutter and B. {D}e Moor},

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},

doi={10.1016/0024-3795(95)00455-6}

}

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