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On Determining the Eigenprojection and Components of a Matrix

Research paper by R. P. Agaev, P. Yu. Chebotarev

Indexed on: 22 Jan '11Published on: 22 Jan '11Published in: Mathematics - Algebraic Geometry



Abstract

Matrix theory and its applications make wide use of the eigenprojections of square matrices. The present paper demonstrates that the eigenprojection of a matrix $A$ can be calculated with the use of any annihilating polynomial of A^u, where u >= ind A. This enables one to find the components and the minimal polynomial of A, as well as the Drazin inverse A^D.