Kachurovskij and Dorfner Spectra nonlinear block operator matrices

Abstract

In this paper, the Kachurovskij spectrum of 3×3 Lipschitz continuous
nonlinear operator matrices are studied. Firstly, some connections between the
Kachurovskij spectrum of certain 3 × 3 Lipschitz continuous nonlinear operator
matrices and that of their entries are established, and the relationship between the
Kachurovskij spectrum of 3 × 3 Lipschitz continuous nonlinear operator matrices
and that of their Schur complement is presented by means of Schur decomposition