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Papers in peerreviewed journals:


1. A. Dmytryshyn, B. Kågström, Coupled Sylvestertype matrix equations and block diagonalization, SIAM J. Matrix Anal. Appl., 36(2) (2015) 580593.
[bib]
[pdf]
Awarded SIAM Student Paper Prize 2015

2. A. Dmytryshyn, V. Futorny, B. Kågström, L. Klimenko, V.V. Sergeichuk, Change of the congruence canonical form of 2by2 and 3by3 matrices under perturbations and bundles of matrices under congruence, Linear Algebra Appl., 469 (2015) 305334.
[bib]
[pdf]

3. A. Dmytryshyn, B. Kågström, Orbit closure hierarchies of skewsymmetric matrix pencils,
SIAM J. Matrix Anal. Appl., 35(4) (2014) 14291443.
[bib]
[pdf]

4. A. Dmytryshyn, B. Kågström, V.V. Sergeichuk, Symmetric matrix pencils: codimension counts and the solution of a pair of matrix equations, Electron. J. Linear Algebra, 27 (2014) 118.
[bib]
[pdf]

5. A. Dmytryshyn, V. Futorny, V.V. Sergeichuk, Miniversal deformations of matrices under *congruence and reducing transformations, Linear Algebra Appl., 446 (2014) 388420.
[bib]
[pdf]

6. A. Dmytryshyn, B. Kågström, V.V. Sergeichuk, Skewsymmetric matrix pencils: codimension counts and the solution of a pair of matrix equations, Linear Algebra Appl., 438 (2013) 33753396.
[bib]
[pdf of the preprint]

7. A.R. Dmytryshyn, V. Futorny, V.V. Sergeichuk, Miniversal Deformations of Matrices of Bilinear Forms, Linear Algebra Appl., 436 (2012) 26702700, arXiv:1004.3584v3.
[bib]
[pdf]

8. A.R. Dmytryshyn, Miniversal deformations and Darboux's theorem, Bulletin of University of Kyiv, Series: Physics & Mathematics, 4 (2010) 2022.
[bib]
[pdf]

9. G. Belitskii, A.R. Dmytryshyn, R. Lipyanski, V.V. Sergeichuk, A. Tsurkov, Problems of classifying associative or Lie algebras over a field of characteristic not 2 and finite metabelian groups are wild, Electron. J. Linear Algebra, 18 (2009) 516529.
[bib]
[pdf]

Technical reports & preprints:


10. A. Dmytryshyn, S. Johansson, B. Kågström, Codimension computations
of congruence orbits of matrices, symmetric and skewsymmetric matrix pencils
using Matlab, Report
UMINF 13.18, Department of Computing Science, Umeå University, 2013.
[bib]
[pdf]

11. A. Dmytryshyn, Miniversal deformations of pairs of skewsymmetric forms, arXiv:1104.2492v1.
[pdf]

12. A. Dmytryshyn, Miniversal deformations of pairs of symmetric forms, arXiv:1104.2530v1.
[pdf]

13. A. Dmytryshyn, SkewSymmetric Matrix Pencils: Stratification Theory and Tools, Licentiate Thesis, Department of Computing Science, Umeå University, Report UMINF 14.05, 2014.
[pdf]

14. A. Dmytryshyn, A Strong Tits Alternative, Master Thesis, University of Bordeaux 1, 2011.
[pdf]

15. A. Dmytryshyn, Miniversal deformations of pairs of skewsymmetric forms, Master Thesis, Taras Shevchenko University of Kiev, 2010, (based on #11 from this list).
[pdf]

 