Geodesic
On the relation between the numerical range and the joint numerical range of matrix polynomials
The electronic journal of linear algebra, Tome 6 (1999-2000), pp. 20-30.

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

Summary: It is shown that the numerical range, NR[P (*)], of a matrix polynomial P (*) = A m * m + : : : + A 1 * + A 0 consists of the roots of all scalar polynomials whose coeAEcients correspond to the elements of the convex hull of the joint numerical range of the (m+1)-tuple (A 0 ; A 1 ; : : : ; A m ).
Classification : 15A60, 47A12
Keywords: joint numerical range, matrix polynomial, root zone AMS subject 
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     title = {On the relation between the numerical range and the joint numerical range of matrix polynomials},
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Psarrakos, P.J.; Tsatsomeros, M.J. On the relation between the numerical range and the joint numerical range of matrix polynomials. The electronic journal of linear algebra, Tome 6 (1999-2000), pp. 20-30. http://geodesic.mathdoc.fr/item/ELA_1999-2000__6__a2/