solve method

@override List<double> solve()

Solves the Ax = b equation and returns the x vector.

Implementation

@override
List<double> solve() {
  final lu = matrix.luDecomposition();

  // Solving Ly = b
  final L = lu.first.toListOfList();
  final b = knownValues;
  final y = SystemSolver.forwardSubstitution(L, b);

  // Solving Ux = y
  final U = lu[1].toListOfList();

  return SystemSolver.backSubstitution(U, y);
}