Cholesky decompositions of integral operators and the Fredholm determinant

Autor: Olsen, Niels Lundtorp
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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 $L^2 [0, 1]$.
Databáze: arXiv