Pairs of companion matrices and their simultaneous reduction to complementary triangular forms

DOI10.1016/0024-3795(93)90499-EzbMath0776.15006MaRDI QIDQ2365666

Harald K. Wimmer

Publication date: 29 June 1993

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

zbMATH Keywords

determinantstransfer matricesshift operatorsimultaneous reductioncompanion matricessimultaneous similaritycomplementary triangular forms

Mathematics Subject Classification ID

Factorization of matrices (15A23) Canonical forms, reductions, classification (15A21)

Related Items (2)

Algorithms for finding the minimal polynomials and inverses of resultant matrices ⋮ Simultaneous reduction to triangular and companion forms of pairs of matrices: The case \(rank(I-AZ)=1\)

Cites Work

• 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
• 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

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