= Incomplete LU factorization
{wiki=Incomplete_LU_factorization}
Incomplete LU (ILU) factorization is a method used to approximate the LU decomposition of a sparse matrix. In LU decomposition, a square matrix \\( A \\) is factored into the product of a lower triangular matrix \\( L \\) and an upper triangular matrix \\( U \\) such that \\( A = LU \\). However, in many practical applications, especially when dealing with large sparse matrices, the standard LU decomposition may not be feasible due to excessive memory requirements or computational cost.
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