Cholesky decomposition of positive semidefinite matrices over commutative semirings
Rings and Algebras
2018-10-31 v2 Commutative Algebra
Abstract
We prove that over a commutative semiring every symmetric strongly invertible matrix with nonnegative numerical range has a Cholesky decomposition.
Keywords
Cite
@article{arxiv.1807.01489,
title = {Cholesky decomposition of positive semidefinite matrices over commutative semirings},
author = {David Dolžan and Polona Oblak},
journal= {arXiv preprint arXiv:1807.01489},
year = {2018}
}