Every invertible matrix is diagonally equivalent to a matrix with distinct eigenvalues

DOI10.1016/j.laa.2011.12.010zbMath1244.15006OpenAlexW1973642390MaRDI QIDQ417518

Man-Duen Choi, Nung-Sing Sze, Chi-Kwong Li, Ze-Jun Huang

Publication date: 14 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.12.010

zbMATH Keywords

distinct eigenvaluesdiagonal equivalencediagonal matrixGershgorin's circle theorem

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Canonical forms, reductions, classification (15A21)

Related Items

On separation of eigenvalues by certain matrix subgroups, Matrices with few nonzero principal minors, Unnamed Item, On the separation of eigenvalues by the permutation group, Reidemeister spectrum of special and general linear groups over some fields contains 1, Sign patterns that allow diagonalizability revisited

Cites Work

• Is every nonsingular matrix diagonally equivalent to a matrix with all distinct eigenvalues?
• On inverse multiplicative eigenvalue problems for matrices
• Matrix Analysis
• Inverse eigenvalue problems