On the number of invariant polynomials of the matrix \(XAX^{-1}+B\)

DOI10.1016/0024-3795(86)90288-0zbMath0616.15010OpenAlexW2143581273MaRDI QIDQ1821174

F. Conceição Silva

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0024-3795(86)90288-0

zbMATH Keywords

number of invariant polynomials

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (14)

The number of invariant polynomials of a matrix with prescribed off-diagonal blocks ⋮ On the invariant factors on the matrix \(XAY+B^*\) ⋮ Spectrally complete pairs of matrices ⋮ On the number of invariant polynomials of matrix commutators ⋮ Sums and products of matrices with prescribed similarity classes ⋮ Invariant polynomials of sums of matrices ⋮ The eigenvalues of the product of matrices with prescribed similarity classes^* ⋮ Invariant factors of integral quaternion matrices ⋮ Weakly polynomially complete pairs of matrices^* ⋮ The maximun ofi(XAX⁻¹+B) ⋮ The spectrum of a Hermitian matrix sum ⋮ Possibilities for the number of invariant polynomials of the difference of two similarity classes ⋮ On the number of invariant polynomials of the product of matrices with prescribed similarity classes ⋮ On the invariant polynomials of Jordan products

Cites Work

• On the eigenvalues of the matrix
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