Structured Multi-Matrix Variate, Matrix Polynomial Equations: Solution Techniques
General Mathematics
2012-07-26 v1
Abstract
In this research paper, structured bi-matrix variate, matrix quadratic equations are considered. Some lemmas related to determining the eigenvalues of unknown matrices are proved. Also, a method of determining the diagonalizabe unknown matrices is provided. The results are generalized to multi-matrix variate, matrix polynomial equations. Briefly generalization to tensor variate polynomial equations is discussed. It is hoped that the results lead to important contributions in "non-commutative algebra".
Cite
@article{arxiv.1207.6027,
title = {Structured Multi-Matrix Variate, Matrix Polynomial Equations: Solution Techniques},
author = {Garimella Rama Murthy},
journal= {arXiv preprint arXiv:1207.6027},
year = {2012}
}