About the solvability of matrix polynomial equations
Rings and Algebras
2016-08-16 v1 Algebraic Geometry
Abstract
We study self-adjoint matrix polynomial equations in a single variable and prove existence of self-adjoint solutions under some assumptions on the leading form. Our main result is that any self-adjoint matrix polynomial equation of odd degree with non-degenerate leading form can be solved in self-adjoint matrices. We also study equations of even degree and equations in many variables.
Cite
@article{arxiv.1608.04204,
title = {About the solvability of matrix polynomial equations},
author = {Tim Netzer and Andreas Thom},
journal= {arXiv preprint arXiv:1608.04204},
year = {2016}
}
Comments
6 pages, no figures