Companion matrices: reducibility, numerical ranges and similarity to contractions-Reference-Cited by-同舟云学术

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Companion matrices: reducibility, numerical ranges and similarity to contractions

Published:2004-05 Issue: Volume:383 Page:127-142
ISSN:0024-3795
Container-title:Linear Algebra and its Applications
language:en
Short-container-title:Linear Algebra and its Applications

Author:

Gau Hwa-Long,Wu Pei Yuan

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference11 articles.

1. Matrices: Methods and Applications;Barnett,1990

2. Canonical models;Douglas,1974

3. The numerical radius of a nilpotent operator on a Hilbert space;Haagerup;Proc. Amer. Math. Soc.,1992

4. A Hilbert Space Problem Book;Halmos,1982

5. Topics in Matrix Analysis;Horn,1991

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1. Flat portions of the numerical range of a $$6 \times 6$$ companion matrix;Banach Journal of Mathematical Analysis;2023-07

2. The numerical range of a periodic tridiagonal operator reduces to the numerical range of a finite matrix;Journal of Mathematical Analysis and Applications;2022-02

3. Kippenhahn's Theorem for Joint Numerical Ranges and Quantum States;SIAM Journal on Applied Algebra and Geometry;2021-01

4. Equality of numerical ranges of matrix powers;Linear Algebra and its Applications;2019-10

5. Determinantal representations of invariant hyperbolic plane curves;Linear Algebra and its Applications;2018-11

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