Is every nonsingular matrix diagonally equivalent to a matrix with all distinct eigenvalues?

DOI10.1016/j.laa.2011.06.032zbMath1232.15008OpenAlexW2021277973MaRDI QIDQ648930

Zhongshan Li, Xin-Lei Feng, Ting-Zhu Huang

Publication date: 29 November 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.06.032

zbMATH Keywords

discriminantresultantdistinct eigenvaluesdiagonalizabilitydiagonal equivalencnonsingular matrix

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Canonical forms, reductions, classification (15A21)

Related Items

Every invertible matrix is diagonally equivalent to a matrix with distinct eigenvalues, 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, Sign patterns that allow diagonalizability revisited

Cites Work

• Sign patterns that allow diagonalizability
• The moment and Gram matrices, distinct eigenvalues and zeroes, and rational criteria for diagonalizability
• Matrix Analysis
• First- and second-order eigensensitivities of matrices with distinct eigenvalues
• Nonlocal sensitivity analysis of the eigensystem of a matrix with distinct eigenvalues
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