Kh. Ikramov, “On the Matrix Equation ,” Moscow University Computational Mathematics and Cybernetics. Vol. 34, No. 2, 2010, pp. 51-55. doi:10.3103/S0278641910020019
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.