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 skew-symmetric 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 skew-symmetric 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 peer-reviewed 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) 228-246. [bib] [pdf]
J10. A. Dmytryshyn, Miniversal deformations of pairs of skew-symmetric matrices under congruence, Linear Algebra Appl., 506 (2016) 506-534. [bib] [pdf]
J9. A. Dmytryshyn and B. Kågström, Coupled Sylvester-type matrix equations and block diagonalization, SIAM J. Matrix Anal. Appl., 36(2) (2015) 580-593. [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 2-by-2 and 3-by-3 matrices under perturbations and bundles of matrices under congruence, Linear Algebra Appl., 469 (2015) 305-334. [bib] [pdf]
J7. A. Dmytryshyn and B. Kågström, Orbit closure hierarchies of skew-symmetric matrix pencils, SIAM J. Matrix Anal. Appl., 35(4) (2014) 1429-1443. [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) 1-18. [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) 388-420. [bib] [pdf]
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. [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) 2670-2700, 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) 20-22. [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) 516-529. [bib] [pdf]
Theses:
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, Skew-Symmetric 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 skew-symmetric forms,
Master Thesis, Taras Shevchenko University of Kiev, 2010. [pdf]