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A symmetric numerical range for matrices

โœ Scribed by B. David Saunders; Hans Schneider


Book ID
105177833
Publisher
Springer-Verlag
Year
1976
Tongue
English
Weight
305 KB
Volume
26
Category
Article
ISSN
0029-599X

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We show that an n-by-n companion matrix A can have at most n line segments on the boundary NW (A) of its numerical range W(A), and it has exactly n line segments on NW (A) if and only if, for n odd, A is unitary, and, for n even, A is unitarily equivalent to the direct sum A 1 โŠ• A 2 of two (n/2)-by-