A New Algorithm for the Inverse of Matrices with Noncommuting Entries
Mathematical Physics
2018-05-07 v1 math.MP
Quantum Algebra
Rings and Algebras
Quantum Physics
Abstract
By using the quasi-determinant the construction of Gel'fand et al. leads to the inverse of a matrix with noncommuting entries. In this work we offer a new method that is more suitable for physical purposes and motivated by deformation quantization, where our constructed algorithm emulates the commutative case and in addition gives corrections coming from the noncommutativity of the entries. Furthermore, we provide an equivalence of the introduced algorithm and the construction via quasi-determinants.
Keywords
Cite
@article{arxiv.1805.01733,
title = {A New Algorithm for the Inverse of Matrices with Noncommuting Entries},
author = {Albert Much and Diego Vidal-Cruzprieto},
journal= {arXiv preprint arXiv:1805.01733},
year = {2018}
}