Numerical range of a continuant matrix

Citation
Mt. Chien et Jm. Huang, Numerical range of a continuant matrix, APPL MATH L, 14(2), 2001, pp. 213-216
Citations number
3
Categorie Soggetti
Mathematics
Journal title
APPLIED MATHEMATICS LETTERS
ISSN journal
08939659 → ACNP
Volume
14
Issue
2
Year of publication
2001
Pages
213 - 216
Database
ISI
SICI code
0893-9659(200102)14:2<213:NROACM>2.0.ZU;2-Z
Abstract
Let A be an n-by-n complex matrix, the numerical range of A is the set W(A) = {x*Ax : x is an element of C-n, x*x = 1}. The numerical range of a conti nuant matrix is explicitly described as an elliptic disc. (C) 2000 Elsevier Science Ltd. All rights reserved.