The estimation and location of eigenvalues of complex matrix are very important,and the traditional estimation results are round,oval and other regions.Some new methods are discussed to locate complex matrices′ eigenvalues.It is shown that all eigenvalues of arbitrarily given n×n complex matrix with its characteristic polynomial having real coefficients can be located by the following elliptic region β2(x-trA/n)2+α2y2≤α2β2,其中α=[(n-1)/n∑nk=1(Reλk-trA/n](1/2),β=[(n-1)/n∑nk=1(Imλk)2](1/2).Finally,some more pre...
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