# CHOLESKY function

This article describes the formula syntax of the CHOLESKY function

## Description

Return lower triangular Cholesky factor.

## Syntax

CHOLESKY(matrix)

matrix |
is a symmetric matrix. |

Cholesky decomposition of symmetric matrix \(A\).
Return lower triangular matrix \(L\) with \(LL^T = A\).
Return NaN as first entry of \(L\) if \(A\) is not positive definite.

Only the lower triangular entries of \(A\) are used.