Addendum to the paper "On determining the eigenprojection and components of a matrix" [arXiv:math/0508197]
Pavel Chebotarev, Rafig Agaev

TL;DR
This paper corrects an inaccuracy in a previous work on eigenprojections of matrices and presents simplified formulas for calculating eigenprojections and components.
Contribution
It provides a correction to earlier results and offers simplified formulas for eigenprojections and matrix components.
Findings
Corrected an inaccuracy in the original paper.
Presented simplified formulas for eigenprojections.
Enhanced understanding of matrix eigencomponents.
Abstract
The purpose of this note is to correct an inaccuracy in the paper: R.P. Agaev and P.Yu. Chebotarev, "On Determining the Eigenprojection and Components of a Matrix," Autom. Remote Control, 2002, vol. 63, pp. 1537-1545 [arXiv:math/0508197], and to present one of its results (namely, closed formulas for the eigenprojections and components of a matrix) in a simplified form.
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