Geodesic
Some theoretical results derived from polynomial numerical hulls of Jordan blocks
Electronic transactions on numerical analysis, Tome 18 (2004), pp. 81-90
The polynomial numerical hull of degree for a square matrix is a set in the complex plane $\textcent \sterling $designed to give useful information about the norms of functions of the matrix; it is defined as #############$\ddot $§$\copyright "!# \%$£ textcent$' In a previous paper [V. Faber, A. Greenbaum, and D. Marshall$The polynomial numerical hulls of Jordanblocks and related matrices$, Linear Algebra Appl., 374 (2003), pp. 231-246] analytic expressions were derived for the polynomial numerical hulls of Jordan blocks. In this paper, we explore some consequences of these results.$
Classification : 15A60, 65F15, 65F35
Keywords: polynomial numerical hull, field of values, Toeplitz matrix 
@article{ETNA_2004__18__a7,
     author = {Greenbaum,  Anne},
     title = {Some theoretical results derived from polynomial numerical hulls of {Jordan} blocks},
     journal = {Electronic transactions on numerical analysis},
     pages = {81--90},
     year = {2004},
     volume = {18},
     zbl = {1068.15039},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2004__18__a7/}
}
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Greenbaum,  Anne. Some theoretical results derived from polynomial numerical hulls of Jordan blocks. Electronic transactions on numerical analysis, Tome 18 (2004), pp. 81-90. http://geodesic.mathdoc.fr/item/ETNA_2004__18__a7/