From 7f7839c12f9bbd88bee1f3c9d7f5dbbe556045d4 Mon Sep 17 00:00:00 2001
From: Gael Guennebaud <g.gael@free.fr>
Date: Mon, 4 Jul 2016 17:18:26 +0200
Subject: Add documentation and exemples for inplace decomposition.

---
 doc/examples/TutorialInplaceLU.cpp | 61 ++++++++++++++++++++++++++++++++++++++
 1 file changed, 61 insertions(+)
 create mode 100644 doc/examples/TutorialInplaceLU.cpp

(limited to 'doc/examples/TutorialInplaceLU.cpp')

diff --git a/doc/examples/TutorialInplaceLU.cpp b/doc/examples/TutorialInplaceLU.cpp
new file mode 100644
index 000000000..cb9c59b60
--- /dev/null
+++ b/doc/examples/TutorialInplaceLU.cpp
@@ -0,0 +1,61 @@
+#include <iostream>
+struct init {
+  init() { std::cout << "[" << "init" << "]" << std::endl; }
+};
+init init_obj;
+// [init]
+#include <iostream>
+#include <Eigen/Dense>
+
+using namespace std;
+using namespace Eigen;
+
+int main()
+{
+  MatrixXd A(2,2);
+  A << 2, -1, 1, 3;
+  cout << "Here is the input matrix A before decomposition:\n" << A << endl;
+cout << "[init]" << endl;
+
+cout << "[declaration]" << endl;
+  PartialPivLU<Ref<MatrixXd> > lu(A);
+  cout << "Here is the input matrix A after decomposition:\n" << A << endl;
+cout << "[declaration]" << endl;
+
+cout << "[matrixLU]" << endl;
+  cout << "Here is the matrix storing the L and U factors:\n" << lu.matrixLU() << endl;
+cout << "[matrixLU]" << endl;
+
+cout << "[solve]" << endl;
+  MatrixXd A0(2,2); A0 << 2, -1, 1, 3;
+  VectorXd b(2);    b << 1, 2;
+  VectorXd x = lu.solve(b);
+  cout << "Residual: " << (A0 * x - b).norm() << endl;
+cout << "[solve]" << endl;
+
+cout << "[modifyA]" << endl;
+  A << 3, 4, -2, 1;
+  x = lu.solve(b);
+  cout << "Residual: " << (A0 * x - b).norm() << endl;
+cout << "[modifyA]" << endl;
+
+cout << "[recompute]" << endl;
+  A0 = A; // save A
+  lu.compute(A);
+  x = lu.solve(b);
+  cout << "Residual: " << (A0 * x - b).norm() << endl;
+cout << "[recompute]" << endl;
+
+cout << "[recompute_bis0]" << endl;
+  MatrixXd A1(2,2);
+  A1 << 5,-2,3,4;
+  lu.compute(A1);
+  cout << "Here is the input matrix A1 after decomposition:\n" << A1 << endl;
+cout << "[recompute_bis0]" << endl;
+
+cout << "[recompute_bis1]" << endl;
+  x = lu.solve(b);
+  cout << "Residual: " << (A1 * x - b).norm() << endl;
+cout << "[recompute_bis1]" << endl;
+
+}
-- 
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