Cholesky decomposition is a decomposition of a Hermitian, positive-definite matrix into the product of a lower triangular matrix and its conjugate transpose, in the form of \(A = LL^*\). \(A\) is a Hermitian positive-definite matrix, \(L\) is a lower triangular matrix with real and positive diagonal entries, and \(L^*\) denotes the conjugate transpose of \(L\). Cholesky decomposition is useful for efficient numerical solutions.
\[A = L*L^*\]