resolve rectangular systems

src/Solver.cpp

@@ -25,6 +25,18 @@ Vect Solver::Noyau() const {
 		result.GetColumnCount() - origine_colonne)};
 }
 
+VectAffine Solver::SystemeTriangulaire() const {
+	Matrix mat = m_Matrix;
+	mat.GaussJordan(true);
+
+	Solver solver{mat.SubMatrix(0, 0, mat.GetRawCount(), mat.GetColumnCount() - 1)};
+
+	Vect noyau = solver.Noyau();
+	Matrix origin = mat.SubMatrix(0, mat.GetColumnCount() - 1, mat.GetRawCount(), 1);
+
+	return {noyau, origin};
+}
+
 std::size_t Solver::Rang() const {
 	Vect image = Image();
 	return image.GetCardinal();