module.exports = ldu

/**
 * Returns L, D and U matrices (Lower triangular, Diagonal and Upper triangular) by factorizing the input matrix
 *
 * @alias mat2.ldu
 * @param {mat2} L the lower triangular matrix
 * @param {mat2} D the diagonal matrix
 * @param {mat2} U the upper triangular matrix
 * @param {mat2} a the input matrix to factorize
 */
function ldu(L, D, U, a) {
  L[2] = a[2]/a[0]
  U[0] = a[0]
  U[1] = a[1]
  U[3] = a[3] - L[2] * U[1]
  return [L, D, U]
}