2015•Siberian Mathematical JournalRequires access
On parametrization of the submanifold of matrices with a fixed structure of Jordan blocks
A. A. Bondar’
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Abstract
We construct some new local diffeomorphism that enables us to study submanifolds of matrices. Using the diffeomorphism, we define the parametrization of the submanifold of complex matrices with a fixed structure of the Jordan blocks of distinguished eigenvalues. Comparative characterization is given for various parametrizations.