Modified Array Class tutorial, added examples

doc/examples/Tutorial_ArrayClass_accessing.cpp

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+#include <Eigen/Dense>
+#include <iostream>
+
+using namespace Eigen;
+using namespace std;
+
+int main()
+{
+  ArrayXXf  m(2,2);
+  
+  //assign some values coefficient by coefficient
+  m(0,0) = 1.0; m(0,1) = 2.0;
+  m(1,0) = 3.0; m(1,1) = 4.0;
+  
+  //print values to standard output
+  cout << m << endl << endl;
+ 
+  // using the comma-initializer is also allowed
+  m << 1.0,2.0,
+       3.0,4.0;
+     
+  //print values to standard output
+  cout << m << endl;
+}

doc/examples/Tutorial_ArrayClass_addition.cpp

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+#include <Eigen/Dense>
+#include <iostream>
+
+using namespace Eigen;
+using namespace std;
+
+int main()
+{
+  ArrayXXf a(3,3);
+  ArrayXXf b(3,3);
+  
+  a << 1,2,3,
+       4,5,6,
+       7,8,9;
+
+  b << 1,2,3,
+       1,2,3,
+       1,2,3;
+       
+  cout << "a + b = " << endl
+       << a + b << endl;
+}

doc/examples/Tutorial_ArrayClass_addition_scalar.cpp

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+#include <Eigen/Dense>
+#include <iostream>
+
+using namespace Eigen;
+using namespace std;
+
+int main()
+{
+  ArrayXXf a(3,3);
+  
+  a << 1,2,3,
+       4,5,6,
+       7,8,9;
+
+  cout << "a + 2 = " << endl
+       << a + 2 << endl;
+}

doc/examples/Tutorial_ArrayClass_interop.cpp

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+#include <Eigen/Dense>
+#include <iostream>
+
+using namespace Eigen;
+using namespace std;
+
+int main()
+{
+  MatrixXf m(2,2);
+  MatrixXf n(2,2);
+  
+  MatrixXf result(2,2);
+
+  //initialize matrices
+  m << 1,2,
+       3,4;
+
+  n << 5,6,
+       7,8;
+  
+  // mix of array and matrix operations
+  //   first coefficient-wise addition
+  //   then the result is used with matrix multiplication
+  result = (m.array() + 4).matrix() * m;
+
+  cout << "-- Combination 1: --" << endl
+    << result << endl << endl;
+
+
+  // mix of array and matrix operations
+  //   first coefficient-wise multiplication
+  //   then the result is used with matrix multiplication
+  result = (m.array() * n.array()).matrix() * m;
+
+  cout << "-- Combination 2: --" << endl
+    << result << endl << endl;
+
+}

doc/examples/Tutorial_ArrayClass_interop_array.cpp

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+#include <Eigen/Dense>
+#include <iostream>
+
+using namespace Eigen;
+using namespace std;
+
+int main()
+{
+  ArrayXXf m(2,2);
+  ArrayXXf n(2,2);
+  
+  ArrayXXf result(2,2);
+
+  //initialize arrays
+  m << 1,2,
+       3,4;
+
+  n << 5,6,
+       7,8;
+
+  
+  // --> array multiplication
+  result = m * n;
+
+  cout << "-- Array m*n: --" << endl
+    << result << endl << endl;
+
+
+  // --> Matrix multiplication
+  result = m.matrix() * n.matrix();
+  
+  cout << "-- Matrix m*n: --" << endl
+    << result << endl << endl;
+}

doc/examples/Tutorial_ArrayClass_interop_matrix.cpp

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+#include <Eigen/Dense>
+#include <iostream>
+
+using namespace Eigen;
+using namespace std;
+
+int main()
+{
+  MatrixXf m(2,2);
+  MatrixXf n(2,2);
+  
+  MatrixXf result(2,2);
+
+  //initialize matrices
+  m << 1,2,
+       3,4;
+
+  n << 5,6,
+       7,8;
+
+  
+  // --> matrix multiplication
+  result = m * n;
+
+  cout << "-- Matrix m*n: --" << endl
+    << result << endl << endl;
+
+
+  // --> coeff-wise multiplication
+  result = m.array() * n.array();
+  
+  cout << "-- Array m*n: --" << endl
+    << result << endl << endl;
+  
+  
+  // ->> coeff-wise addition of a scalar
+  result = m.array() + 4;
+  
+  cout << "-- Array m + 4: --" << endl
+    << result << endl << endl;
+}

doc/examples/Tutorial_ArrayClass_mult.cpp

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+#include <Eigen/Dense>
+#include <iostream>
+
+using namespace Eigen;
+using namespace std;
+
+int main()
+{
+  ArrayXXf a(2,2);
+  ArrayXXf b(2,2);
+  
+  a << 1,2,
+       3,4;
+
+  b << 5,6,
+       7,8;
+
+  cout << "a * b = " << endl
+       << a * b << endl;
+}