Non-sparse Companion Matrices

DOI10.13001/1081-3810.3839zbMath1419.15030OpenAlexW2953398301WikidataQ127582676 ScholiaQ127582676MaRDI QIDQ5230549

Louis Deaett, Jonathan Fischer, Kevin N. Vander Meulen, Colin Garnett

Publication date: 28 August 2019

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.13001/1081-3810.3839

zbMATH Keywords

characteristic polynomialcompanion matrixFiedler companion matrixnon-derogatory matrix

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Matrices, determinants in number theory (11C20) Special matrices (15B99)

Related Items (2)

Unnamed Item ⋮ A note on generalized companion pencils in the monomial basis

Cites Work

• Characterization of a family of generalized companion matrices
• The nilpotent-centralizer method for spectrally arbitrary patterns
• Pentadiagonal companion matrices
• A note on companion matrices
• Corrigendum to: ``Companion matrix patterns
• Bounds on polynomial roots using intercyclic companion matrices
• Potentially nilpotent sign pattern matrices
• The factorization of the adjugate of a finite matrix
• Modified Gershgorin Disks for Companion Matrices
• Fiedler Companion Linearizations and the Recovery of Minimal Indices
• Matrices with Prescribed Characteristic Polynomials
• Matrix Analysis
• A new family of companion forms of polynomial matrices
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