Geodesic
Normal matrix polynomials with nonsingular leading coefficients
The electronic journal of linear algebra, Tome 17 (2008), pp. 458-472.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 15A18, 15A22, 65F15, 65F35
Keywords: matrixpolynomial, normal eigenvalue, weighted perturbation, condition number 
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     author = {Papathanasiou, Nikolaos and Psarrakos, Panayiotis},
     title = {Normal matrix polynomials with nonsingular leading coefficients},
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     volume = {17},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ELA_2008__17__a12/}
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Papathanasiou, Nikolaos; Psarrakos, Panayiotis. Normal matrix polynomials with nonsingular leading coefficients. The electronic journal of linear algebra, Tome 17 (2008), pp. 458-472. http://geodesic.mathdoc.fr/item/ELA_2008__17__a12/