On Determining the Eigenprojection and Components of a Matrix

Details On Determining the Eigenprojection and Components of a Matrix On Determining the Eigenprojection and Components of a Matrix

2005-08-11

arxiv.org/abs/math/0508197v2

Automation and Remote Control 63 (2002) 1537--1545

Mathematics

Algebraic Geometry

9 pages. In this version, an inaccuracy in Proposition 2 is corrected and the result (explicit expressions for the eigenprojec

Scientific paper

10.1023/A:1020488410896

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.

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