ESTIMATION OF EIGENVALUES OF MATRIX POLYNOMIALS BY GENERALIZED BRAUER SET
In this paper,we investigate the problem of estimating the eigenvalue bounds of matrix polynomials.By employing the generalized Brauer set,we derive an estimation set for the eigenvalues of matrix polynomials and discuss its properties,including closure,symmetry,and boundedness.Finally,we present some concrete examples to compare the accuracy of the traditional Brauer set with the generalized Brauer set in eigenvalue estimation.
matrix Polynominaleigenvalue estimationthe generalized Brauer set