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eigenvalues of matrices or operators

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The relation between eigenvalue and singular value of non-symmetric square matrix

Apparently, $AB$ and $BA$ have the same non-zero eigenvalues. However, can we predict the non-zero eigenvalues just based on the information of singular values of $A$, $B$, $AB$ and $BA$. … Is there any relation between the singular values and eigenvalues? …
Dongrun Qin's user avatar