Classification of linear mappings between indefinite inner product spaces (with J. Meleiro, T. Solovera, and A. Zaidan), Linear Algebra Appl. 531 (2017) 356-374. arXiv
Generalization of Roth's solvability criteria to systems of matrix equations (with A. Dmytryshyn, V. Futorny, and T. Klymchuk), Linear Algebra Appl. 527 (2017) 294-302. arXiv
Specht’s criterion for systems of linear mappings (with V. Futorny and R.A. Horn), Linear Algebra Appl. 519C (2017) 278-295. arXiv
Topological classiﬁcation of systems of bilinear and sesquilinear forms (with C.M. da Fonseca, V. Futorny, and T. Rybalkina), Linear Algebra Appl. 515 (2017) 1-5. arXiv
Neighborhood radius estimation for Arnold’s miniversal deformations of complex and p-adic matrices (with V.A. Bovdi and M.A. Salim), Linear Algebra Appl. 512 (2017) 97-112. arXiv
Roth’s solvability criteria for the matrix equations AX − \hat{A}B = C and X − A\hat{X}B = C over the skew ﬁeld of quaternions with an involutive automorphism q → \hat{q} (with V. Futorny and T. Klymchuk), Linear Algebra Appl. 510 (2016) 246-258. arXiv
Each n-by-n matrix with n >1 is a sum of 5 coninvolutory matrices (with M.N.M. Abara, D.I. Merino, V.I. Rabanovich, J.P. Sta. Maria), Linear Algebra Appl. 508 (2016) 246-254. arXiv
Topological classification of sesquilinear forms: Reduction to the nonsingular case (with C. M. da Fonseca and T. Rybalkina), Linear Algebra Appl. 504 (2016) 581-589. arXiv
Tame systems of linear and semilinear mappings and representation-tame biquivers (with T. Klimchuk, D. Kovalenko, and T. Rybalkina), Contemp. Math. 658 (2016) 103-114. arXiv
Change of the congruence canonical form of 2-by-2 and 3-by-3 matrices under perturbations and bundles of matrices under congruence (with A. Dmytryshyn, V. Futorny, Bo Kågström, and L. Klimenko), Linear Algebra Appl. 469 (2015) 305-334. arXiv
Topological classification of oriented cycles of linear mappings (with T. Rybalkina), Ukrainian Math. J. 66 (2015) 1575-1581. arXiv
Consimilarity and quaternion matrix equations AX-\hat{X}B=C, X-A\hat{X}B=C (with T. Klimchuk), Special Matrices 2 (2014) 180-186. article
Regularizing decompositions for matrix pencils and a topological classiﬁcation of pairs of linear mappings (with V. Futorny and T. Rybalkina), Linear Algebra Appl. 450 (2014) 121-137. arXiv
Change of the *congruence canonical form of 2-by-2 matrices under perturbations (with V. Futorny and L. Klimenko), Electr. J. Linear Algebra 27 (2014) 146-154. article
Miniversal deformations of matrices under *congruence and reducing transformations (with A.R. Dmytryshyn and V. Futorny), Linear Algebra Appl. 446 (2014) 388-420. arXiv
Symmetric matrix pencils: codimension counts and the solution of a pair of matrix equations (with A. Dmytryshyn and Bo Kågström), Electr. J. Linear Algebra 27 (2014) 1-18. article
An informal introduction to perturbations of matrices determined up to similarity or congruence (with L. Klimenko), São Paulo J. Math. Sci. 8 (2014) 1-22. article
Representations of quivers and mixed graphs (with R.A. Horn), Chapter 34 in: L. Hogben (Ed.), Handbook of Linear Algebra, 2nd ed., CRC Press, 2014. arXiv
Other canonical forms (with R.A. Horn), Chapter 7 in: L. Hogben (Ed.), Handbook of Linear Algebra, 2nd ed., CRC Press, 2014.
Simultaneous unitary equivalences (with T.G. Gerasimova and R.A. Horn), Linear Algebra Appl. 438 (2013) 3829-3835. arXiv
Cycles of linear and semilinear mappings (with D. Duarte de Oliveira, V. Futorny, T. Klimchuk, and D. Kovalenko), Linear Algebra Appl. 438 (2013) 3442-3453. arXiv
Skew-symmetric matrix pencils: Codimension counts and the solution of a pair of matrix equations (with A. Dmytryshyn and Bo Kågström), Linear Algebra Appl. 438 (2013) 3375-3396. prepr
Systems of subspaces of a unitary space (with V.M. Bondarenko, V. Futorny, T. Klimchuk, and K. Yusenko), Linear Algebra Appl. 438 (2013) 2561-2573. arXiv
Topological classification of chains of linear mappings (with T. Rybalkina), Linear Algebra Appl. 437 (2012) 860-869. arXiv
Remarks on the classification of a pair of commuting semilinear operators (with D. Duarte de Oliveira, R.A. Horn, and T. Klimchuk), Linear Algebra Appl. 436 (2012) 3362-3372. arXiv
Miniversal deformations of matrices of bilinear forms (with A.R. Dmytryshyn and V. Futorny), Linear Algebra Appl. 436 (2012) 2670-2700. arXiv
Topological classification of Möbius transformations (with T.V. Rybalkina), Fundam. Prikl. Mat. (in Russian) 17 (6) (2011/2012) 175-183. English translation: J. Math. Sci. (N.Y.) 193 (2013) 769-774. arXiv
A criterion for unitary similarity of upper triangular matrices in general position (with D. Farenick, V. Futorny, T.G. Gerasimova, and N. Shvai), Linear Algebra Appl. 435 (2011) 1356-1369. arXiv
A canonical form for nonderogatory matrices under unitary similarity (with V. Futorny and R.A. Horn), Linear Algebra Appl. 435 (2011) 830-841. arXiv
Block triangular miniversal deformations of matrices and matrix pencils (with L. Klimenko), in: V. Olshevsky, E. Tyrtyshnikov (Eds), Matrix Methods: Theory, Algorithms and Applications, World Sci. Publ., Hackensack, NJ, 2010, pp. 69-84. arXiv
Matrices that are self-congruent only via matrices of determinant one (with T.G. Gerasimova and R.A. Horn), Linear Algebra Appl. 431 (2009) 1620-1632. arXiv
Canonical forms for unitary congruence and *congruence (with R.A. Horn), Linear Multilinear Algebra 57 (2009) 777-815. arXiv
Problems of classifying associative or Lie algebras over a field of characteristic not two and finite metabelian groups are wild (with G. Belitskii, A.R. Dmytryshyn, R. Lipyanski, and A. Tsurkov) Electr. J. Linear Algebra 18 (2009) 516-529. article
Preface [Special issue in honor of Thomas J. Laffey] (with R. Gow, R. Loewy, J.F. Queiró), Linear Algebra Appl. 430 (2009) 1725-1729.
Pairs of mutually annihilating operators (with V.M. Bondarenko and T.G. Gerasimova), Linear Algebra Appl. 430 (2009) 86-105. arXiv
Normal form of m-by-n-by-2 matrices for equivalence (with G. Belitskii and M. Bershadsky), J. Algebra 319 (2008) 2259-2270. arXiv
Tridiagonal canonical matrices of bilinear or sesquilinear forms and of pairs of symmetric, skew-symmetric, or Hermitian forms (with V. Futorny and R.A. Horn), J. Algebra 319 (2008) 2351-2371. arXiv
Canonical matrices of isometric operators on indefinite inner product spaces, Linear Algebra Appl. 428 (2008) 154-192. arXiv
Canonical matrices of bilinear and sesquilinear forms (with R.A. Horn), Linear Algebra Appl. 428 (2008) 193-223. arXiv
Classification of squared normal operators on unitary and Euclidean spaces (with V. Futorny and R.A. Horn), Fundam. Prikl. Mat. 13 (no. 4) (2007) 225-232 (in Russian). English translation: J. Math. Sci. (N.Y.) 155 (2008) 950-955. Rus arXiv
Linearization method in classification problems of linear algebra, São Paulo J. Math. Sci. 1 (2007) 219-240.
Classification of sesquilinear forms with the first argument on a subspace or a factor space (with V. Futorny), Linear Algebra Appl. 424 (2007) 282-303. arXiv
Positivity criteria generalizing the leading principal minors criterion (with V. Futorny and N. Zharko), Positivity 11 (no. 1) (2007) 191-199. arXiv
A regularization algorithm for matrices of bilinear and sesquilinear forms (with R.A. Horn), Linear Algebra Appl. 412 (2006) 380-395. arXiv
Rigid systems of second-order linear differential equations (with M.I. Garcia-Planas, M.D. Magret, and N.A. Zharko), Linear Algebra Appl. 414 (2006) 517-532. arXiv
Canonical forms for complex matrix congruence and *congruence (with R.A. Horn), Linear Algebra Appl. 416 (2006) 1010-1032. arXiv
Congruence of multilinear forms (with G. Belitskii), Linear Algebra Appl. 418 (2006) 751-762. arXiv
Canonical Matrices and Related Questions, Proceedings of Institute of Mathematics of NAS of Ukraine. Mathematics and its Applications, Vol. 57, Kiev, 2006, 326 p. book
Miniversal deformations of chains of linear mappings (with T.N. Gaiduk and N.A. Zharko), Algebra Discrete Math. (no.1) (2005) 47-61. pdf arXiv
The problems of classifying pairs of forms and local algebras with zero cube radical are wild (with G. Belitskii, V.M. Bondarenko, R. Lipyanski, and V.V. Plachotnik), Linear Algebra Appl. 402 (2005) 135-142. arXiv
Solution of linear matrix equations in a *congruence class (with R.A. Horn and N. Shaked-Monderer), Electr. J. Linear Algebra 13 (2005) 153-156. article
Problems of classifying associative or Lie algebras and triples of symmetric or skew-symmetric matrices are wild (with G. Belitskii and R. Lipyanski), Linear Algebra Appl. 407 (2005) 249-262. arXiv
Computation of canonical matrices for chains and cycles of linear mappings, Linear Algebra Appl. 376 (2004) 235-263. arXiv
Generic canonical form of pairs of matrices with zeros (with T. Gaiduk), Linear Algebra Appl. 380 (2004) 241-251. arXiv
Congruences of a square matrix and its transpose (with R.A. Horn), Linear Algebra Appl. 389 (2004) 347-353. arXiv
Complexity of matrix problems (with G. Belitskii), Linear Algebra Appl. 361 (2003) 203-222. arXiv
Estimate of the number of one-parameter families of modules over a tame algebra (with T. Bruestle), Linear Algebra Appl. 365 (2003) 115-133. arXiv
Generic families of matrix pencils and their bifurcation diagrams (with M.I. Garcia-Planas), Linear Algebra Appl. 332/334 (2001) 165-179. arXiv
Canonical matrices for linear matrix problems, Linear Algebra Appl. 317 (2000) 53-102. arXiv
Simplest miniversal deformations of matrices, matrix pencils, and contragredient matrix pencils (with M.I. Garcia-Planas), Linear Algebra Appl. 302/303 (1999) 45-61. arXiv
Littlewood's algorithm and quaternion matrices (with D.I. Merino), Linear Algebra Appl. 298 (1999) 193-208. arXiv
Unitary and Euclidean representations of a quiver, Linear Algebra Appl. 278 (1998) 37-62. arXiv
On subgroups lifting modulo central commutant, Ukrainian Math. J. 50 (no. 5) (1998) 842-845. pdf
Elementary and multi-elementary representations of vectroids (with K.I. Belousov, L.A. Nazarova, and A.V. Roiter), Ukrainian Math. J. 47 (no. 11) (1995) 1661-1687. pdf
Existence of a multiplicative basis for a finitely spaced module over an aggregate (with A.V. Roiter), Ukrainian Math. J. 46 (no. 5) (1994) 604-617. pdf
Classification of pairs of linear operators in a four-dimensional vector space (with D.V. Galinskii), Infinite groups and related algebraic structures, Akad. Nauk Ukrainy, Inst. Mat., Kiev, 1993, 413-430 (in Russian). MathRev. pdf
Tame and wild subspace problems (with P. Gabriel, L.A. Nazarova, A.V. Roiter, and D. Vossieck), Ukrainian Math. J. 45 (no. 3) (1993) 335-372. pdf
Classification of sesquilinear forms, pairs of Hermitian forms, and selfadjoint and isometric operators over the field of quaternions, Math. Notes 49 (no. 3–4 ) (1991) 409-414. MathRev
A note on classification of holomorphic matrices up to similarity, Funct. Anal. Appl. 25 (no. 2) (1991) 135. pdf
Symmetric representations of algebras with involution, Math. Notes 50 (no. 3-4) (1991) 1058-1061. pdf
Classification of pairs of subspaces in spaces with scalar product, Ukrainian Math. J. 42 (no. 4) (1990) 487-491. pdf
Pseudolinear matrix pencils and systems of linear differential equations with meromorphic coefficients, Differential Equations 25 (no. 10) (1989) 1201-1206. pdf
Classification problems for systems of forms and linear mappings, Math. USSR–Izv. 31 (no. 3) (1988) 481-501. arXiv pdf
Holomorphic equivalence of a system of linear differential equations with meromorphic coefficients to a system with linear fractional coefficients, Differentsialnye Uravneniya 24 (no. 6) (1988) 1064-1066 (in Russian). MathRev
Metric representations of a quiver (with H.M. Havidi), Dokl. Akad. Nauk Ukrain. SSR Ser. A (no. 12) (1988) 19-21 (in Russian). MathRev
Two semiclassifying theorems for metabelian groups (with H.M. Hawidi), Delta J. Sci. 12 (no. 1) (1988) 31-43. MathRev
The canonical form of the matrix of a bilinear form over an algebraically closed field of characteristic 2, Math. Notes 41 (no. 5-6) (1987) 441-445. pdf
Classification problems for systems of linear mappings and sesquilinear forms, Kiev State University, 1983, 60 p. = Manuscript No. 196 Uk–D84, deposited at the Ukrainian NIINTI, 1984 (in Russian); R. Zh. Mat. 1984, 7A331.
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Application of modules over a dyad for the classification of finite p-groups possessing an abelian subgroup of index p and of pairs of mutually annihilating operators (with L.A. Nazarova, A.V. Roiter, and V.M. Bondarenko), Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. 28 (1972) 69-92 (in Russian). English translation: J. Soviet Math. 3 (1975) 636-654. pdf