Reducibility theorems for pairs of matrices as rational criteria

DOI10.1016/S0024-3795(00)00129-4zbMath0959.15009MaRDI QIDQ1579521

Yurii A. Al'pin, Khakim D. Ikramov

Publication date: 20 April 2001

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

zbMATH Keywords

matrix algebracommutatorsimultaneous reductionquasidiagonalizabilitymatrix pairsstandard polynomialsimultaneous triangular formsimultaneous block triangular form

Mathematics Subject Classification ID

Canonical forms, reductions, classification (15A21)

Related Items (8)

Generating systems of the full matrix algebra that contain nonderogatory matrices ⋮ The length function and matrix algebras ⋮ Description of algebras of length 1. ⋮ Classification of matrix subalgebras of length 1. ⋮ The length of a direct sum of nonassociative algebras ⋮ Length function and characteristic sequences of quadratic algebras ⋮ Systems of generators of matrix incidence algebras over finite fields ⋮ Algebras of length one

Cites Work

• Unnamed Item
• Simultaneous quasi-diagonalization of normal matrices
• Simultaneous block triangularization and block diagonalization of sets of matrices
• On the characteristic roots of matric polynomials

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