From d3e271c47e373146345f411900772d0d2627b0ea Mon Sep 17 00:00:00 2001 From: Jitse Niesen Date: Fri, 19 Mar 2010 18:23:36 +0000 Subject: Extend documentation and add examples for ComplexEigenSolver. --- doc/snippets/ComplexEigenSolver_compute.cpp | 16 ++++++++++++++++ 1 file changed, 16 insertions(+) create mode 100644 doc/snippets/ComplexEigenSolver_compute.cpp (limited to 'doc/snippets/ComplexEigenSolver_compute.cpp') diff --git a/doc/snippets/ComplexEigenSolver_compute.cpp b/doc/snippets/ComplexEigenSolver_compute.cpp new file mode 100644 index 000000000..11d6bd399 --- /dev/null +++ b/doc/snippets/ComplexEigenSolver_compute.cpp @@ -0,0 +1,16 @@ +MatrixXcf A = MatrixXcf::Random(4,4); +cout << "Here is a random 4x4 matrix, A:" << endl << A << endl << endl; + +ComplexEigenSolver ces; +ces.compute(A); +cout << "The eigenvalues of A are:" << endl << ces.eigenvalues() << endl; +cout << "The matrix of eigenvectors, V, is:" << endl << ces.eigenvectors() << endl << endl; + +complex lambda = ces.eigenvalues()[0]; +cout << "Consider the first eigenvalue, lambda = " << lambda << endl; +VectorXcf v = ces.eigenvectors().col(0); +cout << "If v is the corresponding eigenvector, then lambda * v = " << endl << lambda * v << endl; +cout << "... and A * v = " << endl << A * v << endl << endl; + +cout << "Finally, V * D * V^(-1) = " << endl + << ces.eigenvectors() * ces.eigenvalues().asDiagonal() * ces.eigenvectors().inverse() << endl; -- cgit v1.2.3