17 lines
792 B
C++
17 lines
792 B
C++
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MatrixXcf A = MatrixXcf::Random(4,4);
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cout << "Here is a random 4x4 matrix, A:" << endl << A << endl << endl;
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ComplexEigenSolver<MatrixXcf> ces;
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ces.compute(A);
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cout << "The eigenvalues of A are:" << endl << ces.eigenvalues() << endl;
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cout << "The matrix of eigenvectors, V, is:" << endl << ces.eigenvectors() << endl << endl;
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complex<float> lambda = ces.eigenvalues()[0];
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cout << "Consider the first eigenvalue, lambda = " << lambda << endl;
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VectorXcf v = ces.eigenvectors().col(0);
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cout << "If v is the corresponding eigenvector, then lambda * v = " << endl << lambda * v << endl;
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cout << "... and A * v = " << endl << A * v << endl << endl;
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cout << "Finally, V * D * V^(-1) = " << endl
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<< ces.eigenvectors() * ces.eigenvalues().asDiagonal() * ces.eigenvectors().inverse() << endl;
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