**Reference:**

B. De Schutter and
B. De Moor,
"The singular value decomposition in the extended max algebra is an
extended linear complementarity problem," Tech. rep. 95-07,
ESAT-SISTA, K.U.Leuven, Leuven, Belgium, 27 pp., Mar. 1995.

**Abstract:**

We show that the problem of finding a singular value decomposition of
a matrix in the extended max algebra can be reformulated as an
Extended Linear Complementarity Problem. This allows us to compute all
the max-algebraic singular value decompositions of a matrix. This
technique can also be used to calculate many other max-algebraic
matrix decompositions.

Technical report: pdf file (266 KB)

@techreport{DeSDeM:95-07,

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

title={{The} singular value decomposition in the extended max algebra is an extended linear complementarity problem},

number={95-07},

institution={ESAT-SISTA, K.U.Leuven},

address={Leuven, Belgium},

month=mar,

year={1995}

}

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