On Determining the Eigenprojection and Components of a Matrix

Authors:
R. P. Agaev;P. Yu. Chebotarev
Affiliations:
Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia;Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Venue:
Automation and Remote Control
Year:
2002

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Abstract

Matrix theory and its applications make wide use of the eigenprojections of square matrices. The paper demonstrated that the eigenprojection of a matrix iA can be calculated with the use of any annihilating polynomial for iAiu, where iu ≥ ind iA. This enables one to establish the components and the minimum polynomial of iA, as well as the Drazin inverse iAiD.