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On parametrization of the submanifold of matrices with a fixed structure of Jordan blocks

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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.

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Authors and Affiliations

  1. Ural State Pedagogical University, Ekaterinburg, Russia

    A. A. Bondar’

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  1. A. A. Bondar’
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Correspondence to A. A. Bondar’.

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Original Russian Text Copyright © 2015 Bondar’ A.A.

Ekaterinburg. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 56, No. 6, pp. 1249–1263, November–December, 2015; DOI: 10.17377/smzh.2015.56.604.

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Bondar’, A.A. On parametrization of the submanifold of matrices with a fixed structure of Jordan blocks. Sib Math J 56, 996–1008 (2015). https://doi.org/10.1134/S003744661506004X

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  • DOI: https://doi.org/10.1134/S003744661506004X

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