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Papers in peer-reviewed journals:
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J17. A. Dmytryshyn, Miniversal deformations of pairs of symmetric matrices under congruence, Linear Algebra Appl., to appear, 2018.
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Special Issue Dedicated to Vladimir Sergeichuk
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J16. A. Dmytryshyn and F.M. Dopico, Generic skew-symmetric matrix polynomials with fixed rank and fixed odd grade, Linear Algebra Appl., 536 (2018) 1-18.
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J15. A. Dmytryshyn, S. Johansson, and B. Kågström, Canonical structure transitions of system pencils, SIAM J. Matrix Anal. Appl., 38(4) (2017) 1249-1267. [bib]
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J14. A. Dmytryshyn and F.M. Dopico, Generic complete eigenstructures for sets of matrix polynomials with bounded rank and degree, Linear Algebra Appl., 535 (2017) 213-230.
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J13. A. Dmytryshyn, Structure preserving stratification of skew-symmetric matrix polynomials, Linear Algebra Appl., 532 (2017) 266-286.
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J12. A. Dmytryshyn, V. Futorny, T. Klymchuk, and V.V. Sergeichuk, Generalization of Roth's solvability criteria to systems of matrix equations, Linear Algebra Appl., 527 (2017) 294-302.
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J11. A. Dmytryshyn, C.M. da Fonseca, and T. Rybalkina, Classification of pairs of linear mappings between two vector spaces and between their quotient space and subspace, Linear Algebra Appl., 509 (2016) 228-246.
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J10. A. Dmytryshyn, Miniversal deformations of pairs of skew-symmetric matrices under congruence, Linear Algebra Appl., 506 (2016) 506-534.
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J9. A. Dmytryshyn and B. Kågström, Coupled Sylvester-type matrix equations and block diagonalization, SIAM J. Matrix Anal. Appl., 36(2) (2015) 580-593.
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Awarded SIAM Student Paper Prize 2015
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J8. A. Dmytryshyn, V. Futorny, B. Kågström, L. Klimenko, and V.V. Sergeichuk, Change of the congruence canonical form of 2-by-2 and 3-by-3 matrices under perturbations and bundles of matrices under congruence, Linear Algebra Appl., 469 (2015) 305-334.
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J7. A. Dmytryshyn and B. Kågström, Orbit closure hierarchies of skew-symmetric matrix pencils, SIAM J. Matrix Anal. Appl., 35(4) (2014) 1429-1443.
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J6. A. Dmytryshyn, B. Kågström, and V.V. Sergeichuk, Symmetric matrix pencils: codimension counts and the solution of a pair of matrix equations, Electron. J. Linear Algebra, 27 (2014) 1-18.
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J5. A. Dmytryshyn, V. Futorny, and V.V. Sergeichuk, Miniversal deformations of matrices under *congruence and reducing transformations, Linear Algebra Appl., 446 (2014) 388-420.
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J4. A. Dmytryshyn, B. Kågström, and V.V. Sergeichuk, Skew-symmetric matrix pencils: codimension counts and the solution of a pair of matrix equations, Linear Algebra Appl., 438 (2013) 3375-3396.
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J3. A.R. Dmytryshyn, V. Futorny, and V.V. Sergeichuk, Miniversal Deformations of Matrices of Bilinear Forms, Linear Algebra Appl., 436 (2012) 2670-2700, arXiv:1004.3584v3.
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J2. A.R. Dmytryshyn, Miniversal deformations and Darboux's theorem, Bulletin of University of Kyiv, Series: Physics & Mathematics, 4 (2010) 20-22.
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J1. G. Belitskii, A.R. Dmytryshyn, R. Lipyanski, V.V. Sergeichuk, and 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) 516-529.
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Technical reports & preprints:
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R2. A. Dmytryshyn, S. Johansson, B. Kågström, and P. Van Dooren, Geometry of spaces for matrix polynomial Fiedler linearizations, Report
UMINF 15.17, Department of Computing Science, Umeå University, 2015.
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R1. A. Dmytryshyn, S. Johansson, and B. Kågström, Codimension computations
of congruence orbits of matrices, symmetric and skew-symmetric matrix pencils
using Matlab, Report
UMINF 13.18, Department of Computing Science, Umeå University, 2013.
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T4. A. Dmytryshyn, Tools for Structured Matrix Computations: Stratifications and Coupled Sylvester Equations, PhD Thesis, Department of Computing Science, Umeå University, Report UMINF 15.18, 2015.
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Shortlisted for the Householder Prize XX
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T3. A. Dmytryshyn, Skew-Symmetric Matrix Pencils: Stratification Theory and Tools, Licentiate Thesis, Department of Computing Science, Umeå University, Report UMINF 14.05, 2014.
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T2. A. Dmytryshyn, A Strong Tits Alternative, Master Thesis, University of Bordeaux 1, 2011.
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T1. A. Dmytryshyn, Miniversal deformations of pairs of skew-symmetric forms, Master Thesis, Taras Shevchenko University of Kiev, 2010.
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