Expression of a Real Matrix as a Difference of a Matrix and its Transpose Inverse
Rings and Algebras
2021-06-21 v1
Abstract
In this paper we derive a representation of an arbitrary real matrix M as the difference of a real matrix A and the transpose of its inverse. This expression may prove useful for progressing beyond known results for which the appearance of transpose-inverse terms prove to be obstacles, particularly in control theory and related applications such as computational simulation and analysis of matrix representations of articulated figures.
Cite
@article{arxiv.1906.00965,
title = {Expression of a Real Matrix as a Difference of a Matrix and its Transpose Inverse},
author = {Mil Mascaras and Jeffrey Uhlmann},
journal= {arXiv preprint arXiv:1906.00965},
year = {2021}
}