IJPAM: Volume 95, No. 4 (2014)

REFLEXIVE NON-DEROGATORY MATRICES

Y. Jahanshahi$^1$, B. Yousefi$^2$
$^{1,2}$Department of Mathematics
Payame Noor University
P.O. Box: 19395-4697, Tehran, IRAN


Abstract. A matrix $A$ is called reflexive if and only if $Lat(A)\subseteq Lat(B)$ implies that $B=p(A)$ for some polynomial $p$. In this article, we characterize reflexive non-derogatory matrices.

Received: June 14, 2014

AMS Subject Classification:

Key Words and Phrases: invariant subspace, reflexive matrix, Jordan block, non-derogatory matrix

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DOI: 10.12732/ijpam.v95i4.11 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 95
Issue: 4
Pages: 589 - 592


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