-spectral factorization for rational matrix functions with alternative realization.
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Groenewald, Gilbert J., Petersen, Mark A. (2003)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Duarte, António Leal (1985/1986)
Portugaliae mathematica
José A. Díaz-García, Ramón Gutiérrez-Jáimez (2009)
Applicationes Mathematicae
In this study various Jacobians of transformations of singular random matrices are found. An alternative proof of Uhlig's first conjecture (Uhlig (1994)) is proposed. Furthermore, we propose various extensions of this conjecture under different singularities. Finally, an application of the theory of singular distributions is discussed.
V.J. Baston, F.A. Bostock (1977)
Monatshefte für Mathematik
Driss Aiat Hadj Ahmed, Rachid Tribak (2015)
Commentationes Mathematicae Universitatis Carolinae
We give a sufficient condition under which any Jordan automorphism of a triangular algebra is either an automorphism or an anti-automorphism.
López Pellicer, M., Bru, R. (1985/1986)
Portugaliae mathematica
P. Lancaster (1970)
Aequationes mathematicae
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