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metric-space 2022-03-05 14:39:22 -05:00
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@ -206,7 +206,7 @@ where
Since the input entries are all real, the generalized eigenvalues if complex come in pairs Since the input entries are all real, the generalized eigenvalues if complex come in pairs
as a consequence of the [complex conjugate root thorem](https://en.wikipedia.org/wiki/Complex_conjugate_root_theorem) as a consequence of the [complex conjugate root thorem](https://en.wikipedia.org/wiki/Complex_conjugate_root_theorem)
The Lapack routine output reflects this by expecting the user to unpack the complex eigenvalues associated The Lapack routine output reflects this by expecting the user to unpack the real and complex eigenvalues associated
eigenvectors from the real matrix output via the following procedure eigenvectors from the real matrix output via the following procedure
(Note: VL stands for the lapack real matrix output containing the left eigenvectors as columns, (Note: VL stands for the lapack real matrix output containing the left eigenvectors as columns,