A formula for the trace of symmetric powers of matrices
Differential Geometry
2014-11-04 v1
Abstract
We present a formula for the trace of any symmetric power of a matrix (with coefficients in a field) in terms of the ordinary powers of the matrix, an arbitrarily chosen linear function which vanishes on the identity matrix, and polynomial functions defined recursively.
Cite
@article{arxiv.1411.0524,
title = {A formula for the trace of symmetric powers of matrices},
author = {Jose Luis Cisneros and Rafael Herrera and Noemi Santana},
journal= {arXiv preprint arXiv:1411.0524},
year = {2014}
}