𝔖 Bobbio Scriptorium
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On functions of companion matrices

✍ Scribed by József Eller

Book ID
107825205
Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
982 KB
Volume
96
Category
Article
ISSN
0024-3795

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📜 SIMILAR VOLUMES

A note on companion matrices
A note on companion matrices
✍ Miroslav Fiedler 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 82 KB

We show that the usual companion matrix of a polynomial of degree n can be factored into a product of n matrices, n -1 of them being the identity matrix in which a 2 × 2 identity submatrix in two consecutive rows (and columns) is replaced by an appropriate 2 × 2 matrix, the remaining being the ident

Numerical ranges of companion matrices
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✍ Hwa-Long Gau; Pei Yuan Wu 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 182 KB

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 ⊕ A 2 of two (n/2)-by-

Functions of matrices
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✍ Luis Verde-Star 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 268 KB