On the Parameters of the Singular Part of the Horn—Sergeichuk Regularizing Decomposition
- Authors: Ikramov K.D.1
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Affiliations:
- Moscow State University
- Issue: Vol 98, No 1 (2018)
- Pages: 301-303
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225518
- DOI: https://doi.org/10.1134/S1064562418050034
- ID: 225518
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Abstract
A simple method is given for a priori determination of the number of Jordan blocks and their orders in the regularizing decomposition of a square matrix. This decomposition was proposed by R. Horn and V. Sergeichuk. It is attained by congruence transformations and makes it possible to separate the regular and singular parts of the matrix.
About the authors
Kh. D. Ikramov
Moscow State University
Author for correspondence.
Email: ikramov@cs.msu.su
Russian Federation, Moscow, 119991
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