LU reduction
= LU reduction
{wiki=LU_reduction}
LU reduction, often referred to as LU decomposition, is a mathematical method used in linear algebra to factor a given square matrix \\( A \\) into the product of two matrices: a lower triangular matrix \\( L \\) and an upper triangular matrix \\( U \\). This can be expressed as: \\\[ A = LU \\\] \#\#\# Components: 1. **Lower Triangular Matrix (L)**: A matrix \\( L \\) where all the elements above the main diagonal are zero.