Normal matrix polynomials with nonsingular leading coefficients

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Nikolaos Papathanasiou
Panayiotis Psarrakos


In this paper, the notions of weakly normal and normal matrixpolynomials with
nonsingular leading coefficients are introduced. These matrixpolynomials are characterized using orthonormal systems of eigenvectors and normal eigenvalues. The conditioning of the eigenvalue problem of a normal matrixpolynomial is also studied, thereby constructing an appropriate Jordan canonical form.

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