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The Behaviour of the Complete Eigenstructure of a Polynomial Matrix Under a Generic Rational Transformation by Noferini, Vanni is a scholarly article available to read on EtoBox.

What is The Behaviour of the Complete Eigenstructure of a Polynomial Matrix Under a Generic Rational Transformation about?

Given a polynomial matrix P(x) of grade g and a rational function $x(y) = n(y)/d(y)$, where $n(y)$ and $d(y)$ are coprime nonzero scalar polynomials, the polynomial matrix $Q(y) :=[d(y)]^gP(x(y))$ is defined. The complete eigenstructures of $P(x)$ and $Q(y)$ are related, including characteristic values, elementary divisors and minimal indices. A Theorem on the matter, valid in the most general hypotheses, is stated and proved.

Author

Noferini, Vanni

Published

2011

Language

EN