changes

sose2020/ana/lectures

@@ -1 +1 @@
-Subproject commit 4a8568092d61277a96481f294464fd68434f90a5
+Subproject commit 12c3f170e2da580b7037c48fa9a84dfe481ea40a

sose2020/num/uebungen/prog_nonlinear_solvers_methods.cc

@@ -21,15 +21,17 @@ public:
   // Funktionsauswertung
   void F (const hdnum::Vector<N>& x, hdnum::Vector<N>& result) const
   {
-    result[0] = pow(x[0], 2) + pow(x[1], 2) - 4;
-    result[1] = pow(x[0], 2)/9 + pow(x[1], 2) - 1;
+    result[0] = x[0] * x[1] + 2*x[0] - x[1] - 2;
+    result[1] = x[0] * x[1] - x[0] + x[1] -3;
   }
 
   // Jacobimatrix
   void F_x (const hdnum::Vector<N>& x, hdnum::DenseMatrix<N>& result) const
   {
-    result[0][0] = 2*x[0]; result[0][1] = 2*x[1];
-    result[1][0] = 2*x[0]/9; result[1][1] = 2*x[1];
+    result[0][0] = x[1] + 2;
+    result[0][1] = x[0] - 1;
+    result[1][0] = x[1] - 1;
+    result[1][1] = x[0] + 1;
   }
 };
 
@@ -48,13 +50,13 @@ int main ()
   // Newton
   hdnum::Newton newton;
   newton.set_maxit(20);
-  newton.set_verbosity(2);
+  newton.set_verbosity(10);
   newton.set_reduction(1e-10);
   newton.set_abslimit(1e-20);
-  newton.set_linesearchsteps(3);
+  newton.set_linesearchsteps(2);
 
   // 1. Quadrant
-  u[0] = 2.0; u[1] = 1.0;
+  u[0] = 0.0; u[1] = 1.0;
   newton.solve(problem,u);
   std::cout << "Nullstelle im 1. Quadrant: " <<  std::setprecision(15) << u << std::endl;
   problem.F(u, result);