Vladimir Vasil'evich Sergeichuk

Publications

     

  1. 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. (2011), doi:10.1016/j.laa.2011.11.029.   arXiv

  2. Miniversal deformations of matrices of bilinear forms (with A.R. Dmytryshyn and V. Futorny), Linear Algebra Appl. (2011) doi:10.1016/j.laa.2011.11.010.   arXiv

  3. Simultaneous unitary equivalences (with T.G. Gerasimova and R.A. Horn), Linear Algebra Appl. (2011), doi:10.1016/j.laa.2011.09.031.   arXiv  

  4. 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

  5. A canonical form for nonderogatory matrices under unitary similarity (with V. Futorny and R.A. Horn), Linear Algebra Appl. 435 (2011) 830-841.   arXiv

  6. 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 Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2010, pp. 69-84.   arXiv

  7. 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

  8. Canonical forms for unitary congruence and *congruence (with R.A. Horn), Linear Multilinear Algebra 57 (2009) 777-815.   arXiv

  9. 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

  10. Preface [Special issue in honor of Thomas J. Laffey] (with R. Gow, R. Loewy, J.F. Queiró), Linear Algebra Appl. 430 (2009) 1725-1729.

  11. Pairs of mutually annihilating operators (with V.M. Bondarenko and T.G. Gerasimova), Linear Algebra Appl. 430 (2009) 86-105.   arXiv

  12. Normal form of m-by-n-by-2 matrices for equivalence (with G. Belitskii and M. Bershadsky), J. Algebra 319 (2008) 2259-2270.   arXiv

  13. 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

  14. Canonical matrices of isometric operators on indefinite inner product spaces, Linear Algebra Appl. 428 (2008) 154-192.   arXiv

  15. Canonical matrices of bilinear and sesquilinear forms (with R.A. Horn), Linear Algebra Appl. 428 (2008) 193-223.   arXiv

  16. Classification of squared normal operators on unitary and Euclidean spaces (with V. Futorny and R.A. Horn), Fundam. Prikl. Mat. (in Russian) 13 (no. 4) (2007) 225-232. English translation: J. Math. Sci. (N.Y.) 155 (2008) 950-955.   Rus  arXiv

  17. Linearization method in classification problems of linear algebra, São Paulo J. Math. Sci. 1 (no. 2) (2007) 219-240.

  18. 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

  19. Positivity criteria generalizing the leading principal minors criterion (with V. Futorny and N. Zharko), Positivity 11 (no. 1) (2007) 191-199.   arXiv

  20. A regularization algorithm for matrices of bilinear and sesquilinear forms (with R.A. Horn), Linear Algebra Appl. 412 (2006) 380-395.   arXiv

  21. 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

  22. Canonical forms for complex matrix congruence and *congruence (with R.A. Horn), Linear Algebra Appl. 416 (2006) 1010-1032.   arXiv

  23. Congruence of multilinear forms (with G. Belitskii), Linear Algebra Appl. 418 (2006) 751-762.   arXiv

  24. Canonical Matrices and Related Questions, Proceedings of Institute of Mathematics of NAS of Ukraine. Mathematics and its Applications, V. 57, Kiev, 2006, 326 p.

  25. 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

  26. 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

  27. 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.   pdf

  28. 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

  29. Computation of canonical matrices for chains and cycles of linear mappings, Linear Algebra Appl. 376 (2004) 235-263.   arXiv

  30. Generic canonical form of pairs of matrices with zeros (with T. Gaiduk), Linear Algebra Appl. 380 (2004) 241-251.   arXiv

  31. Congruences of a square matrix and its transpose (with R.A. Horn), Linear Algebra Appl. 389 (2004) 347-353.   arXiv

  32. Complexity of matrix problems (with G. Belitskii), Linear Algebra Appl. 361 (2003) 203-222.   arXiv

  33. 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

  34. Generic families of matrix pencils and their bifurcation diagrams (with M.I. Garcia-Planas), Linear Algebra Appl. 332/334 (2001) 165-179.   arXiv

  35. Canonical matrices for linear matrix problems, Linear Algebra Appl. 317 (2000) 53-102.   arXiv

  36. 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

  37. Littlewood's algorithm and quaternion matrices (with D.I. Merino), Linear Algebra Appl. 298 (1999) 193-208.   arXiv

  38. Unitary and Euclidean representations of a quiver, Linear Algebra Appl. 278 (1998) 37-62.   arXiv

  39. On subgroups that can be lifted modulo a central commutant, Ukrainian Math. J. 50 (no. 5) (1998) 842-845.   MathRev

  40. 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

  41. 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

  42. Classification of pairs of linear operators in a four-dimensional vector space (with D.V. Galinskii). (Russian) Infinite groups and related algebraic structures, Akad. Nauk Ukrainy, Inst. Mat., Kiev, 1993, 413-430.   MathRev. pdf

  43. 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

  44. 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

  45. A remark on the classification of holomorphic matrices up to similarity, Funct. Anal. Appl. 25 (no. 2) (1991) 135.   pdf

  46. Symmetric representations of algebras with involution, Math. Notes 50 (no. 3-4) (1991) 1058-1061.   pdf

  47. Classification of pairs of subspaces in spaces with scalar product, Ukrainian Math. J. 42 (no. 4) (1990) 487-491.   pdf

  48. Pseudolinear matrix pencils and systems of linear differential equations with meromorphic coefficients, Differential Equations 25 (no. 10) (1989) 1201-1206.  pdf

  49. Classification problems for systems of forms and linear mappings, Math. USSR-Izv. 31 (no. 3) (1988) 481-501.   arXiv

  50. Holomorphic equivalence of a system of linear differential equations with meromorphic coefficients to a system with linear fractional coefficients. (Russian) Differentsialnye Uravneniya 24 (no. 6) (1988) 1064-1066.   MathRev

  51. Metric representations of a quiver (with H.M. Havidi). (Russian) Dokl. Akad. Nauk Ukrain. SSR Ser. A (no. 12) 1988 19-21.   MathRev

  52. Two semiclassifying theorems for metabelian groups (with H.M. Hawidi), Delta J. Sci. 12 (no. 1) (1988) 31-43.   MathRev

  53. 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

  54. Classification problems for systems of linear mappings and sesquilinear forms. (Russian) Preprint, Kiev University, 1983, 60 p. = Manuscript No. 196 Uk-D84, deposited at the Ukrainian NIINTI, 1984; R. Zh. Mat. 1984, 7A331.

  55. Classification of linear operators in a finite-dimensional unitary space, Functional Anal. Appl. 18 (no. 3) (1984) 224-230.   MathRev

  56. Representation of dischemes. (Russian) Linear algebra and the theory of representations, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1983, 110-134.   MathRev

  57. Representations of simple involutive quivers. (Russian) Representations and quadratic forms, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1979, 127-148.   MathRev

  58. Finitely generated groups with commutator group of prime order. Ukrainian Math. J. 30 (no. 6) (1978) 592-598.   pdf

  59. The classification of metabelian p-groups. (Russian) Matrix problems, Akad. Nauk Ukrain. SSR Inst. Mat., Kiev, 1977, 150-161.   MathRev

  60. 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), J. Soviet Math. 3 (no. 5) (1975) 636-654.   MathRev

 

Last modified: December 2011.