Characteristic polynomials of some perturbed matrices

DOI10.1016/j.amc.2007.10.024zbMath1154.15011OpenAlexW1971138037MaRDI QIDQ928087

Aihui Zhou, Jiu Ding

Publication date: 11 June 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.10.024

zbMATH Keywords

eigenvalueperturbationdeterminant identitycharacteristic polynomial

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18)

Related Items

Solving a class of quadratic matrix equations, On the equality of algebraic and geometric multiplicities of matrix eigenvalues, A spectrum theorem for perturbed bounded linear operators, On the eigenvalues of specially low-rank perturbed matrices, Some non-commuting solutions of the Yang-Baxter-like matrix equation, All non-commuting solutions of the Yang-Baxter matrix equation for a class of diagonalizable matrices

Cites Work

• The eigenvalue problem of a specially updated matrix
• Eigenvalues of rank-one updated matrices with some applications
• Limits for the characteristic roots of a matrix. IV. Applications to stochastic matrices
• Matrix Analysis
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