On the construction of nearest defective matrices to a normal matrix

DOI10.1016/j.laa.2004.09.008zbMath1064.15033OpenAlexW2079980032MaRDI QIDQ1765931

Rafikul Alam

Publication date: 23 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.09.008

zbMATH Keywords

eigenvectornormal matrixspectral normnearest defective matrixmultiple/defective eigenvalue

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (1)

Variational Analysis of Approximate Defective Eigenvalues

Cites Work

• Unnamed Item
• On neighbouring matrices with quadratic elementary divisors
• On sensitivity of eigenvalues and eigendecompositions of matrices
• A formula for the 2-norm distance from a matrix to the set of matrices with multiple eigenvalues
• Properties of a matrix with a very ill-conditioned eigenproblem

This page was built for publication: On the construction of nearest defective matrices to a normal matrix