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Results tagged with eigenvalues
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user 41140
eigenvalues of matrices or operators
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eigenvalue of Laplacian matrix
And being symmetric it shares eigenvalues with its transpose. … $$
So the smallest eigenvalue of $B$ is given by
$$\lambda(B)_0 =\arg \min_x x^T(A+A^T)x=\arg \min_x x^TAx+x^TA^Tx = 2\lambda(A)_0 \geq 0$$
It follows that $B$ is positive semidefinite since it's eigenvalues …
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