A modification of the matrix sign function method

Gennadii Demidenko, Yuliya Klevtsova

Abstract


This paper is devoted to the dichotomy problem for the matrix spectrum with respect to the imaginary axis. We consider a method of constructing approximate projections onto invariant subspaces of matrices. The method is a modification of the matrix sign function method. We prove also a theorem on a perturbation for the matrix spectrum.

Keywords


matrix sign function method, projections onto invariant subspaces, matrix spectrum dichotomy, perturbation of the matrix spectrum

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