Eigenprojections and functions of a square matrix

Research Article

Eigenprojections and functions of a square matrix

Published in: Quaestiones Mathematicae
Volume 46 , issue 5 , 2023 , pages: 863–870
DOI: 10.2989/16073606.2022.2045379
Author(s): Christoph Hamburger University of Bonn, Germany
Keywords: Primary: 15A18 , Secondary: 15A16 , Eigenprojection , Frobenius covariant , function of a square matrix , Sylvester formula
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Abstract

We present polynomials for the eigenprojections or Frobenius covariants of a matrix A ∈ C n ×n . They allow for a computation of a function of A by a generalization of the Sylvester formula.
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