A numerical method for computing the roots of non-singular complex-valued matrices

Diego Caratelli; Paolo Emilio Ricci

doi:10.3390/sym12060966

A numerical method for computing the roots of non-singular complex-valued matrices

Diego Caratelli (Corresponding author), Paolo Emilio Ricci

Electromagnetics

Research output: Contribution to journal › Article › Academic › peer-review

6 Citations (Scopus)

Abstract

A method for the computation of the n^th roots of a general complex-valued r × r non-singular matrix A is presented. The proposed procedure is based on the Dunford–Taylor integral (also ascribed to Riesz–Fantappiè) and relies, only, on the knowledge of the invariants of the matrix, so circumventing the computation of the relevant eigenvalues. Several worked examples are illustrated to validate the developed algorithm in the case of higher order matrices.

Original language	English
Article number	966
Number of pages	10
Journal	Symmetry
Volume	12
Issue number	6
DOIs	https://doi.org/10.3390/sym12060966
Publication status	Published - Jun 2020

Keywords

Dunford –Taylor’s integral
Matrix resolvent
Matrix roots

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10.3390/sym12060966

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A numerical method for computing the roots of non-singular complex-valued matrices

Abstract

Keywords

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