On the number of invariant polynomials of the product of matrices with prescribed similarity classes

DOI10.1016/S0024-3795(97)10064-7zbMath0933.15017MaRDI QIDQ1307538

Zhang Yu Lin

Publication date: 31 October 1999

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

zbMATH Keywords

similarity classesinvariant polynomialsnonsingular matrices

Mathematics Subject Classification ID

Canonical forms, reductions, classification (15A21)

Related Items (5)

FURTHER GEOMETRIC RESTRICTIONS ON JORDAN STRUCTURE IN MATRIX FACTORIZATION ⋮ The number of Kronecker indices of square pencils of a special kind ⋮ ARBITRARINESS OF JORDAN STRUCTURE IN FACTORIZATION: THE GEOMETRIC MULTIPLICITY RESTRICTION AND THE 3 × 3 CASE ⋮ On the number of invariant factors of matrix products ⋮ On similarity invariants of matrix commutators and Jordan products

Cites Work

• Spectrally complete pairs of matrices
• On the number of invariant polynomials of the matrix \(XAX^{-1}+B\)
• Possibilities for the number of invariant polynomials of the difference of two similarity classes
• The rank of the difference of matrices with prescribed similarity classes
• On the eigenvalues of the matrix
• The eigenvalues of the product of matrices with prescribed similarity classes^*

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