The Dörfner spectrum of diagonal nonlinear block operator matrices,upper triangular nonlinear block operator matrices and off-diagonal nonlinear block operator matrices are studied respectively,and the connections between the Dörfner spectrum of those nonlinear block operator matrices and that of their entries are obtained.Moreover,the relationship between the Dörfner spectrum of 2×2 nonlinear block operator matrices and that of their Schur complement is obtained by Forbenius-Schur decomposition.
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