Common eigenvectors and quasicommutativity of sets of simultaneously triangularizable matrices

DOI10.1016/0024-3795(85)90234-4zbMath0581.15006OpenAlexW2019217705MaRDI QIDQ1068162

Stephen J. Pierce, David H. Carlson

Publication date: 1985

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(85)90234-4

zbMATH Keywords

eigenvectorscommutatorsquasicommutativitysimultaneously triangularizable matrices

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Commutativity of matrices (15A27)

Related Items (3)

Simultaneous reduction of sets of matrices under similarity ⋮ Simultaneous reduction to triangular forms after extension with zeroes ⋮ The primary decomposition of a set of matrices

Cites Work

• Unnamed Item
• Generalized controllability and inertia theory
• Sets of nearly triangular matrices
• A generalization of matrix commutativity
• Commutativity in Finite Matrices
• On Quasi-Commutative Matrices
• On the characteristic roots of matric polynomials
• Some Generalizations of Matrix Commutativity
• Some Theorems on Commutative Matrices

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