Real logarithms of semi-simple matrices
Donato Pertici
TL;DR
This paper investigates the differential structure of the set of real logarithms for non-singular matrices, focusing on semi-simple and orthogonal matrices, providing insights into their mathematical properties.
Contribution
It offers a detailed analysis of the differential structure of real logarithms specifically for semi-simple and orthogonal matrices, which was not thoroughly explored before.
Findings
Characterization of the differential structure for semi-simple matrices
Analysis of real logarithms of orthogonal matrices
New mathematical insights into matrix logarithms
Abstract
We study the differential structure of the set of real logarithms of a non-singular real matrix, under the assumption that the matrix is either semi-simple or orthogonal.
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Taxonomy
TopicsMatrix Theory and Algorithms · Advanced Optimization Algorithms Research · Advanced Topics in Algebra