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. rep. 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:

Technical report: pdf file (262 KB)
Note: More information on the pdf file format mentioned above can be found here.

Bibtex entry:

@techreport{DeSDeM:95-06,
        author={B. {De Schutter} and B. {De 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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