Pairs of matrices with property 𝐿. II

Abstract

This note is concerned, for matrices with elements in an algebraically closed field of arbitrary characteristic p, with pencils generated by pairs of matrices with property L. A pair of n by n matrices is said to have property L if for a special ordering of the characteristic roots a< of A and Bi of B, the characteristic roots of \A+ptB are Xa<+p,/3,-for all values of X and pt.(See