@ARTICLE{Belitskii2009,
author = {Belitskii, Genrich and Dmytryshyn, Andrii R and Lipyanski, Ruvim and Sergeichuk, Vladimir V and Tsurkov, Arkady},
title = {Problems of classifying associative or Lie algebras over a field of characteristic not 2 and finite metabelian groups are wild},
journal = {Electronic Journal of Linear Algebra},
year = {2009},
volume = {18},
pages = {516--529},
url = {http://hermite.cii.fc.ul.pt/iic/ela/ela-articles/articles/vol18_pp516-529.pdf}
}
@ARTICLE{Dmytryshyn2010,
author = {Dmytryshyn, Andrii R},
title = {Miniversal deformations and Darboux's theorem},
journal = {Bulletin of University of Kyiv, Series: Physics & Mathematics},
year = {2010},
volume = {4},
pages = {20--22},
url = {http://archive.nbuv.gov.ua/portal/Natural/VKNU_fiz_mat/2010_4/p_020_022.pdf}
}
@ARTICLE{Dmytryshyn2012,
author = {Andrii R. Dmytryshyn and Vyacheslav Futorny and Vladimir V. Sergeichuk},
title = {Miniversal deformations of matrices of bilinear forms},
journal = {Linear Algebra and its Applications},
year = {2012},
volume = {436},
pages = {2670 - 2700},
number = {7},
doi = {http://dx.doi.org/10.1016/j.laa.2011.11.010},
issn = {0024-3795},
keywords = {Bilinear forms},
url = {http://www.sciencedirect.com/science/article/pii/S0024379511007518}
}
@ARTICLE{Dmytryshyn2013,
author = {Andrii Dmytryshyn and Bo K\r{a}gstr\"{o}m and Vladimir V. Sergeichuk},
title = {Skew-symmetric matrix pencils: Codimension counts and the solution of a pair of matrix equations},
journal = {Linear Algebra and its Applications},
year = {2013},
volume = {438},
pages = {3375 - 3396},
number = {8},
doi = {http://dx.doi.org/10.1016/j.laa.2012.11.025},
issn = {0024-3795},
keywords = {Pair of skew-symmetric matrices},
url = {http://www.sciencedirect.com/science/article/pii/S0024379512008324}
}
@ARTICLE{Dmytryshyn2014a,
author = {Andrii Dmytryshyn and Vyacheslav Futorny and Vladimir V. Sergeichuk},
title = {Miniversal deformations of matrices under *congruence and reducing transformations},
journal = {Linear Algebra and its Applications},
year = {2014},
volume = {446},
pages = {388 - 420},
doi = {http://dx.doi.org/10.1016/j.laa.2014.01.016},
issn = {0024-3795},
keywords = {Miniversal deformations, *congruence},
}
@ARTICLE{Dmytryshyn2014b,
author = {Andrii Dmytryshyn and Bo K\r{a}gstr\"{o}m and Vladimir V. Sergeichuk},
title = {Symmetric matrix pencils: codimension counts and the solution of a pair of matrix equations},
journal = {Electronic Journal of Linear Algebra},
year = {2014},
volume = {27},
pages = {1-18},
keywords = {Pair of symmetric matrices},
url = {http://www.math.technion.ac.il/iic/ela/ela-articles/articles/vol27_pp1-18.pdf}
}
@ARTICLE{Dmytryshyn2014c,
author = {Andrii Dmytryshyn and Bo K\r{a}gstr\"{o}m},
title = {Orbit closure hierarchies of skew-symmetric matrix pencils},
journal = {SIAM Journal of Matrix Analysis and Applications},
year = {2014},
volume = {35},
pages = {1429-1443},
keywords = {},
url = {http://epubs.siam.org/doi/abs/10.1137/140956841?journalCode=sjmael}
}
@ARTICLE{Dmytryshyn2015a,
author = {Andrii Dmytryshyn and Vyacheslav Futorny and Bo K\r{a}gstr\"{o}m and Lena Klimenko and Vladimir V. Sergeichuk},
title = {Change of the congruence canonical form of 2-by-2 and 3-by-3 matrices under perturbations and bundles of matrices under congruence},
journal = {Linear Algebra and its Applications},
year = {2015},
volume = {469},
pages = {305-334},
keywords = {},
url = {http://authors.elsevier.com/a/1QA1F5YnCHQxv}
}
@article{Dmytryshyn2015b,
author = {Andrii Dmytryshyn and Bo K\r{a}gstr\"{o}m},
title={Coupled Sylvester-type matrix equations and block diagonalization},
journal = {SIAM Journal of Matrix Analysis and Applications},
year = {2015},
volume = {36},
pages = {580-593},
url = {}
}
@ARTICLE{Dmytryshyn2016a,
author = {Andrii Dmytryshyn},
title = {Miniversal deformations of pairs of skew-symmetric matrices under congruence},
journal = {Linear Algebra and its Applications},
year = {2016},
volume = {506},
pages = {506-534},
keywords = {},
url = {}
}
@ARTICLE{Dmytryshyn2016b,
author = {A. Dmytryshyn and C.M. da Fonseca and T. Rybalkina},
title = {Classification of pairs of linear mappings between two vector spaces and between their quotient space and subspace},
journal = {Linear Algebra and its Applications},
year = {2016},
volume = {509},
pages = {228-246},
keywords = {},
url = {http://authors.elsevier.com/a/1TWu25YnCQBN2}
}
@TECHREPORT{Dmytryshyn2013a,
author = {Andrii Dmytryshyn and Stefan Johansson and Bo K\r{a}gstr\"{o}m},
title = {Codimension computations of congruence orbits of matrices, symmetric and skew-symmetric matrix pencils using Matlab},
institution = {Department of Computing Science, Ume\r{a} University},
year = {2013},
number = {13.18},
url = {http://www8.cs.umu.se/research/uminf/reports/2013/018/part1.pdf}
}