Sparse Cholesky Elimination Tree

Sparse Cholesky Elimination Tree refers to a data structure used in numerical linear algebra, particularly for solving sparse symmetric positive definite systems of equations. It represents the order in which variables are eliminated during the Cholesky decomposition process. The tree helps identify dependencies between variables, making the elimination process more efficient by reducing fill-in, the introduction of non-zero entries in positions that were originally zero. This is especially useful when dealing with large sparse matrices, as it minimises computational effort and memory usage.