Cholesky decompositions of integral operators and the Fredholm determinant
Functional Analysis
2024-10-23 v1 Operator Algebras
Abstract
The Cholesky decomposition is a popular way of decomposing positive definite matrices; in particular it leads to a simple formula for computing the determinant. We present and proof an equivalent formula for computing the Fredholm determinant of a positive definite integral operator on .
Keywords
Cite
@article{arxiv.2410.16490,
title = {Cholesky decompositions of integral operators and the Fredholm determinant},
author = {Niels Lundtorp Olsen},
journal= {arXiv preprint arXiv:2410.16490},
year = {2024}
}