Tridiagonalization<MatrixXf> tri;
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MatrixXf X = MatrixXf::Random(4,4);
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MatrixXf A = X + X.transpose();
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tri.compute(A);
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cout << "The matrix T in the tridiagonal decomposition of A is: " << endl;
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cout << tri.matrixT() << endl;
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tri.compute(2*A); // re-use tri to compute eigenvalues of 2A
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cout << "The matrix T in the tridiagonal decomposition of 2A is: " << endl;
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cout << tri.matrixT() << endl;
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