The Chevalley--Jordan decomposition and spectral projections of complex matrices

Abstract

In this paper, a novel and simple method for obtaining the Chevalley-Jordan decomposition and the spectral projections
of matrices is presented. Our method is direct and elementary, it gives tractable and manageable formulas with minimum
mathematical prerequisites. Moreover, knowing only some associated matrices of the matrix, we can simply provide the
minimal polynomial of this matrix.

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Author Biographies

Said Zriaa, Université Chouaïb Doukkali

Department of Mathematics

Mohammed Mouçouf, University Chouaïb Doukkali

Department of Mathematics

References

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Published
2024-05-07
Section
Research Articles