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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., accepted (2015).
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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]
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3. A. Dmytryshyn, B. Kågström, Orbit closure hierarchies of skewsymmetric matrix pencils,
SIAM J. Matrix Anal. Appl., 35(4) (2014) 14291443.
[bib]
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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.
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5. A. Dmytryshyn, V. Futorny, V.V. Sergeichuk, Miniversal deformations of matrices under *congruence and reducing transformations, Linear Algebra Appl., 446 (2014) 388420.
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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.
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8. A.R. Dmytryshyn, Miniversal deformations and Darboux's theorem, Bulletin of University of Kyiv, Series: Physics & Mathematics, 4 (2010) 2022.
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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.
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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.
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13. A. Dmytryshyn, SkewSymmetric Matrix Pencils: Stratification Theory and Tools, Licentiate Thesis, Department of Computing Science, Umeå University, Report UMINF 14.05, 2014.
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14. A. Dmytryshyn, A Strong Tits Alternative, Master Thesis, University of Bordeaux 1, 2011.
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15. A. Dmytryshyn, Miniversal deformations of pairs of skewsymmetric forms, Master Thesis, Taras Shevchenko University of Kiev, 2010, (based on #11 from this list).
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