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G. R. Goodson and R. A. Horn, “Canonical Forms for Normal Matrices That Commute with Their Complex Conjugate,” Linear Algebra and Its Applications, Vol. 430, No. 4, 2009, pp. 1025-1038. doi:10.1016/j.laa.2008.09.039

has been cited by the following article:

• TITLE: Matrices That Commute with Their Conjugate and Transpose

  AUTHORS: Geoffrey Goodson

  KEYWORDS: Normal Matrix; Matrix Commuting with Its Conjugate and Transpose

  JOURNAL NAME: Advances in Linear Algebra & Matrix Theory, Vol.3 No.3, September 17, 2013

  ABSTRACT: It is known that if A∈Mn is normal (AA*=A*A) , then AA￣=A￣A if and only if AAT=ATA. This leads to the question: do both AA￣=A￣A and AAT=ATAimply that Ais normal? We give an example to show that this is false when n=4, but we show that it is true when n=2and n=3.