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Andrii Dmytryshyn

Title: Associate Senior Lecturer School/office: School of Science and Technology

Email:

Phone: +46 19 303554

Room: T2121

Andrii Dmytryshyn

Research Subject

About Andrii Dmytryshyn

Andrii research interests are in the fields of matrix analysis and computational mathematics. Before starting as an Associate Senior Lecturer at Örebro University, Andrii worked and studied in Umeå (Sweden), Bordeaux (France), Padua (Italy), and Kyiv (Ukraine).


Andrii received the SIAM Student Paper Prize 2015 (which is one of the major prizes awarded by the Society for Industrial and Applied Mathematics). He was selected as one of the top 7 candidates for the Householder Prize XX (The Householder Prize is an award for the best dissertation in numerical linear algebra in a 3-year period). Andrii was also an LAA Early Career Speaker at ILAS 2017 and invited and plenary speaker at several other conferences.


Andrii teaches courses on numerical methods for differential equations, applied mathematics, mathematical control theory, matrix computations, and case studies in computational mathematics.

Research Projects

Research Teams

Research Teams

Publications

Publications

Articles in journals |  Doctoral theses, comprehensive summaries |  Licentiate theses, comprehensive summaries |  Reports | 

Articles in journals

Dmytryshyn, A. , Johansson, S. , Kågström, B. & Van Dooren, P. (2019). Geometry of Matrix Polynomial Spaces. Foundations of Computational Mathematics.
Dmytryshyn, A. (2019). Miniversal deformations of pairs of symmetric matrices under congruence. Linear Algebra and its Applications, 568, 84-105.
Dmytryshyn, A. & Dopico, F. M. (2018). Generic skew-symmetric matrix polynomials with fixed rank and fixed odd grade. Linear Algebra and its Applications, 536, 1-18.
Dmytryshyn, A. , Johansson, S. & Kågström, B. (2017). Canonical structure transitions of system pencils. SIAM Journal on Matrix Analysis and Applications, 38 (4), 1249-1267.
Dmytryshyn, A. , Futorny, V. , Klymchuk, T. & Sergeichuk, V. V. (2017). Generalization of Roth's solvability criteria to systems of matrix equations. Linear Algebra and its Applications, 527, 294-302.
Dmytryshyn, A. & Dopico, F. M. (2017). Generic complete eigenstructures for sets of matrix polynomials with bounded rank and degree. Linear Algebra and its Applications, 535, 213-230.
Dmytryshyn, A. (2017). Structure preserving stratification of skew-symmetric matrix polynomials. Linear Algebra and its Applications, 532, 266-286.
Dmytryshyn, A. , Fonseca, C. & Rybalkina, T. (2016). Classification of pairs of linear mappings between two vector spaces and between their quotient space and subspace. Linear Algebra and its Applications, 509, 228-246.
Dmytryshyn, A. (2016). Miniversal deformations of pairs of skew-symmetric matrices under congruence. Linear Algebra and its Applications, 506, 506-534.
Dmytryshyn, A. , Futorny, V. , Kågström, B. , Klimenko, L. & Sergeichuk, V. (2015). 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 and its Applications, 469, 305-334.
Dmytryshyn, A. & Kågström, B. (2015). Coupled Sylvester-type Matrix Equations and Block Diagonalization. SIAM Journal on Matrix Analysis and Applications, 36 (2), 580-593.
Dmytryshyn, A. , Futorny, V. & Sergeichuk, V. (2014). Miniversal deformations of matrices under *congruence and reducing transformations. Linear Algebra and its Applications, 446 (April), 388-420.
Dmytryshyn, A. & Kågström, B. (2014). Orbit closure hierarchies of skew-symmetric matrix pencils. SIAM Journal on Matrix Analysis and Applications, 35 (4), 1429-1443.
Dmytryshyn, A. , Kågström, B. & Sergeichuk, V. V. (2014). Symmetric matrix pencils: codimension counts and the solution of a pair of matrix equations. The Electronic Journal of Linear Algebra, 27, 1-18.
Dmytryshyn, A. , Kågström, B. & Sergeichuk, V. V. (2013). Skew-symmetric matrix pencils: codimension counts and the solution of a pair of matrix equations. Linear Algebra and its Applications, 438 (8), 3375-3396.
Dmytryshyn, A. , Futorny, V. & Sergeichuk, V. (2012). Miniversal deformations of matrices of bilinear forms. Linear Algebra and its Applications, 436 (7), 2670-2700.
Belitskii, G. , Dmytryshyn, A. , Lipyanski, R. , Sergeichuk, V. & Tsurkov, A. (2009). Problems of classifying associative or Lie algebras over a field of characteristic not 2 and finite metabelian groups are wild. The Electronic Journal of Linear Algebra, 18, 516-529.

Doctoral theses, comprehensive summaries

Dmytryshyn, A. (2015). Tools for Structured Matrix Computations: Stratifications and Coupled Sylvester Equations. (Doctoral dissertation). (Comprehensive summary) Umeå: Umeå universitet.

Licentiate theses, comprehensive summaries

Dmytryshyn, A. (2014). Skew-symmetric matrix pencils: stratification theory and tools. Lic. (Comprehensive summary) Umeå: Umeå universitet.

Reports

Dmytryshyn, A. & Dopico, F. M. (2016). Generic matrix polynomials with fixed rank and fixed degree. Umeå: Umeå Universitet (UMINF 16/19).
Dmytryshyn, A. , Johansson, S. & Kågström, B. (2015). Canonical structure transitions of system pencils. Umeå: Umeå universitet (UMINF 5).
Dmytryshyn, A. , Johansson, S. , Kågström, B. & Van Dooren, P. (2015). Geometry of spaces for matrix polynomial Fiedler linearizations. Umeå: Umeå universitet (UMINF 15/17).
Dmytryshyn, A. & Kågström, B. (2014). Orbit closure hierarchies of skew-symmetric matrix pencils. Umeå: Umeå universitet (UMINF 14/02).
Dmytryshyn, A. , Johansson, S. & Kågström, B. (2013). Codimension computations of congruence orbits of matrices, symmetric and skew-symmetric matrix pencils using Matlab. Umeå: Umeå Universitet (UMINF 13/18).