Simultaneous reduction to triangular forms after extension with zeroes

DOI10.1016/S0024-3795(98)10036-8zbMath0941.15004WikidataQ126644353 ScholiaQ126644353MaRDI QIDQ1808952

R. A. Zuidwijk, Harm Bart

Publication date: 31 July 2000

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

zbMATH Keywords

nilpotent matricesJordan matricessimultaneous triangularizationspectral polynomialalmost diagonalizable matrixextension with zerosmaximal nest subspacessimultaneous reduction to complementary triangular formssimultaneous reduction to upper triangular form

Mathematics Subject Classification ID

Canonical forms, reductions, classification (15A21)

Related Items

On similarity of matrices over commutative rings

Cites Work

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• Inertia characteristics of self-adjoint matrix polynomials
• Common eigenvectors and quasicommutativity of sets of simultaneously triangularizable matrices
• Simultaneous reduction of sets of matrices under similarity
• Transfer functions and operator theory
• Complementary triangular forms of pairs of matrices, realizations with prescribed main matrices, and complete factorization of rational matrix functions
• Minimal factorization of matrix and operator functions
• Pairs of matrices which do not admit a complementary triangular form
• Spectral criteria for complementary triangular forms
• Sets of nearly triangular matrices
• Simultaneous reduction to triangular and companion forms of pairs of matrices: The case \(rank(I-AZ)=1\)
• Simultaneous reduction to companion and triangular forms of sets of matrices
• Simultaneous triangularization of matrices—low rank cases and the nonderogatory case
• On the characteristic roots of matric polynomials
• Some Theorems on Commutative Matrices