Geodesic
Some theoretical results derived from polynomial numerical hulls of Jordan blocks
Electronic transactions on numerical analysis, Tome 18 (2004), pp. 81-90
Zbl   EuDML
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 
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/
@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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