ON THE SPECTRA OF SOME MATRICES DERIVED FROM TWO QUADRATIC MATRICES.

The relations between the spectrum of the matrix Q+ R and the spectra of matrices (γ+δ)Q+(α+β)R-QR-RQ, QR-RQ, αβR - QRQ, αRQR - (QR)², and βR - QR have been given assuming that the matrix Q + R is diagonalizable, where Q, R are {α,β}-quadratic matrix and {γδ}-quadratic matrix, respectively, of order n. [ABSTRACT FROM AUTHOR]