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On Determining the Eigenprojection and Components of a Matrix

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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 A can be calculated with the use of any annihilating polynomial for A u, where u ≥ ind A. This enables one to establish the components and the minimum polynomial of A, as well as the Drazin inverse A D.

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Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

    R. P. Agaev & P. Yu. Chebotarev

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  1. R. P. Agaev
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  2. P. Yu. Chebotarev
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Agaev, R.P., Chebotarev, P.Y. On Determining the Eigenprojection and Components of a Matrix. Automation and Remote Control 63, 1537–1545 (2002). https://doi.org/10.1023/A:1020488410896

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