Applied Mathematics LettersVolume 23, Issue 6, June 2010, Pages 732-737On the numerical ranges of matrix productsAuthor links open overlay panelMao-Ting Chien a, Chung-Lien Ko a, Hiroshi Nakazato bShow moreShareCitehttps://doi.org/10.1016/j.aml.2010.02.019Get rights and contentUnder an Elsevier user licenseopen archiveAbstractLet A and C be n×n complex matrices. The C-numerical range of A is defined as the set WC(A)={tr(CU∗AU):U∈Mn,U∗U=In}. We study classes of matrices that two matrices A, B in the respective class satisfy WC(AB)=WC(BA) for a certain complex matrix C.Previous article in issueNext article in issueKeywordsNumerical rangesCommutativityToeplitz matricesContinuant matricesRecommended articlesCited by (0)Copyright © 2010 Elsevier Ltd. All rights reserved.