Lecture\'s Goals . Iterative methods using a scalar gradient techniquesLU Methods. LU Decomposition. A modification of the elimination method, called the LU decomposition. The technique will rewrite the matrix as the product of two matrices.A = LU. LU Decomposition. The technique breaks the matrix into a product of two matrices, L and U, L is a lower triangular matrix and U is an upper triangular matrix. .