Two examples of weighted majorization

Anne-Marie Burtea

Abstract


In this paper we discuss two examples of weighted majorization. The first example relates the spectrum of a normal matrix and the spectrum of its principal submatrix. We apply Sherman's theorem in order to deduce inequalities involving the elements in the two spectra. The second example relates the diagonal elements of the Grassman product of a normal matrix and the Grassman product of its principal submatrix.


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