Is every nonsingular matrix diagonally equivalent to a matrix with all distinct eigenvalues?-Reference-Cited by-同舟云学术

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

Published:2012-01 Issue:1 Volume:436 Page:120-125
ISSN:0024-3795
Container-title:Linear Algebra and its Applications
language:en
Short-container-title:Linear Algebra and its Applications

Author:

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

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference9 articles.

1. Matrix Analysis;Horn,1985

2. The moment and Gram matrices, distinct eigenvalues and zeroes, and rational criteria for diagonalizability;Horn;Linear Algebra Appl.,1999

3. Basic Algebra I;Jacobson,1974

4. Nonlocal sensitivity analysis of the eigensystem of a matrix with distinct eigenvalues;Konstantinov;Numer. Funct. Anal. Optim.,1997

5. Sign patterns that require all distinct eigenvalues;Li;JP J. Algebra Number Theory Appl.,2002

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Matrices with few nonzero principal minors;Linear and Multilinear Algebra;2017-07-20

2. Groups of Matrices That Act Monopotently;The Electronic Journal of Linear Algebra;2017-02-06

3. On the separation of eigenvalues by the permutation group;Special Matrices;2014-01-01

4. On separation of eigenvalues by certain matrix subgroups;Linear Algebra and its Applications;2014-01

5. Sign patterns that allow diagonalizability revisited;Linear and Multilinear Algebra;2013-09

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