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Technical reports & preprints:


R5. 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.
[bib]
[pdf]

R4. A. Dmytryshyn, Structure preserving stratification of skewsymmetric matrix polynomials, Report
UMINF 15.16, Department of Computing Science, Umeå University, 2015.
[bib]
[pdf]

R3. A. Dmytryshyn, S. Johansson, and B. Kågström, Canonical structure transitions of system pencils, Report UMINF 15.15, Department of Computing Science, Umeå University, 2015.
[bib]
[pdf]

R2. A. Dmytryshyn, S. Johansson, and 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]

R1. A. Dmytryshyn, Miniversal deformations of pairs of symmetric forms, arXiv:1104.2530v1, 2010.
[pdf]

Papers in peerreviewed journals:


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) 228246.
[bib]
[pdf]

J10. A. Dmytryshyn, Miniversal deformations of pairs of skewsymmetric matrices under congruence, Linear Algebra Appl., 506 (2016) 506534.
[bib]
[pdf]

J9. A. Dmytryshyn and 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

J8. A. Dmytryshyn, V. Futorny, B. Kågström, L. Klimenko, and 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]

J7. A. Dmytryshyn and B. Kågström, Orbit closure hierarchies of skewsymmetric matrix pencils, SIAM J. Matrix Anal. Appl., 35(4) (2014) 14291443.
[bib]
[pdf]

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) 118.
[bib]
[pdf]

J5. A. Dmytryshyn, V. Futorny, and V.V. Sergeichuk, Miniversal deformations of matrices under *congruence and reducing transformations, Linear Algebra Appl., 446 (2014) 388420.
[bib]
[pdf]

J4. A. Dmytryshyn, B. Kågström, and 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]

J3. A.R. Dmytryshyn, V. Futorny, and V.V. Sergeichuk, Miniversal Deformations of Matrices of Bilinear Forms, Linear Algebra Appl., 436 (2012) 26702700, arXiv:1004.3584v3.
[bib]
[pdf]

J2. A.R. Dmytryshyn, Miniversal deformations and Darboux's theorem, Bulletin of University of Kyiv, Series: Physics & Mathematics, 4 (2010) 2022.
[bib]
[pdf]

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) 516529.
[bib]
[pdf]

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.
[pdf]

T3. A. Dmytryshyn, SkewSymmetric Matrix Pencils: Stratification Theory and Tools, Licentiate Thesis, Department of Computing Science, Umeå University, Report UMINF 14.05, 2014.
[pdf]

T2. A. Dmytryshyn, A Strong Tits Alternative, Master Thesis, University of Bordeaux 1, 2011.
[pdf]

T1. A. Dmytryshyn, Miniversal deformations of pairs of skewsymmetric forms, Master Thesis, Taras Shevchenko University of Kiev, 2010.
[pdf]

 