Logarithm of a Non-Singular Complex Matrix via the Dunford–Taylor Integral

Using the Dunford–Taylor integral and a representation formula for the resolvent of a non-singular complex matrix, we find the logarithm of a non-singular complex matrix applying the Cauchy’s residue theorem if the matrix eigenvalues are known or a circuit integral extended to a curve surrounding th...

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Bibliographic Details

Published in:	Axioms
Main Authors:	Diego Caratelli, Paolo Emilio Ricci
Format:	Article
Language:	English
Published:	MDPI AG 2022-01-01
Subjects:	Dunford–Taylor integral matrix functions matrix logarithm
Online Access:	https://www.mdpi.com/2075-1680/11/2/51