ON THE SPECTRA OF SOME MATRICES DERIVED FROM TWO QUADRATIC MATRICES

Abstract

The relations between the spectrum of the matrix Q + R and the spectra of matrices (gamma + delta)Q + (alpha+ beta)R - QR - RQ,QR - RQ, alpha beta R - QRQ, alpha RQR - (QR)(2), and beta R - QR have been given assuming that the matrix Q + R is diagonalizable, where Q, R are {alpha, beta} -quadratic matrix and {gamma, delta}-quadratic matrix, respectively, of order n.