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author | Jitse Niesen <jitse@maths.leeds.ac.uk> | 2010-03-19 18:23:36 +0000 |
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committer | Jitse Niesen <jitse@maths.leeds.ac.uk> | 2010-03-19 18:23:36 +0000 |
commit | d3e271c47e373146345f411900772d0d2627b0ea (patch) | |
tree | d20fbeebc711322583e55235f4836838bd74d217 /doc/snippets/ComplexEigenSolver_compute.cpp | |
parent | 0ee10f7da48dbf21267eed5d758cb4afd2538ea1 (diff) |
Extend documentation and add examples for ComplexEigenSolver.
Diffstat (limited to 'doc/snippets/ComplexEigenSolver_compute.cpp')
-rw-r--r-- | doc/snippets/ComplexEigenSolver_compute.cpp | 16 |
1 files changed, 16 insertions, 0 deletions
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<MatrixXcf> 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<float> 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; |