Edit Profile (opens in new tab) Sergeichuk, Vladimir Vasil’evich Co-Author Distance Author ID: sergeichuk.vladimir-vasilevich.1 Published as: Sergeichuk, Vladimir V.; Sergeichuk, V. V.; Sergeichuk, Vladimir; Sergeichuk, V. more...less Documents Indexed: 77 Publications since 1972, including 1 Book and 3 Additional arXiv Preprints Biographic References: 1 Publication Co-Authors: 83 Co-Authors with 69 Joint Publications 1,952 Co-Co-Authors all top 5 Co-Authors 8 single-authored 25 Futorny, Vyacheslav M. 15 Horn, Roger Alan 8 Belitskii, Genrich R. 8 Rybalkina, Tetiana 7 Dmytryshyn, Andrii R. 6 Bondarenko, Vitalij M. 6 Klymchuk, Tetiana 5 Gerasimova, Tatiana G. 5 Klimchuk, Tatiana 4 Bovdi, Victor A. 4 Klimenko, Lena 4 Salim, Mohamed Ahmed M. 3 da Fonseca, Carlos Martins 3 García-Planas, Maria Isabel 3 Kågström, Bo 3 Lipyanski, Ruvim 3 Petravchuk, Anatolii P. 3 Zharko, Nadya A. 2 Bershadsky, Maxim 2 Duarte de Oliveira, Debora 2 Gaiduk, Tat’yana N. 2 Kovalenko, Dmitry 2 Merino, Dennis I. 2 Shvai, Nadya 2 Zaidan, André 1 Abara, Ma. Nerissa M. 1 Alazemi, Abdullah 1 Andelić, Milica 1 Andriĭchuk, Vasyl’ Ivanovych 1 Artamonov, Vyacheslav Aleksandrovich 1 Babych, V”yacheslav Mykhaĭlovych 1 Bezushchak, Oksana O. 1 Brüstle, Thomas 1 Caalim, Jonathan V. 1 Dokuchaev, Mikhailo 1 Drozd, Yuriĭ Anatoliĭovych 1 Farenick, Douglas R. 1 Ganiushkin, O. G. 1 Gorodnii, M. F. 1 Grigorchuk, Rostislav Ivanovich 1 Grochow, Joshua A. 1 Gubareni, Nadiya M. 1 Gudivok, P. M. 1 Iusenko, Kostiantyn 1 Kashu, Alekseĭ Ivanovich 1 Kashuba, Iryna 1 Klymenko, Olena 1 Kolyada, Sergiǐ Fedorovych 1 Komarnytsky, M. Ya. 1 Kurdachenko, Leonid Andriĭovych 1 Lyman, Fedir Mykolaĭovych 1 Lyubashenko, Volodymyr V. 1 Magret, Maria Dolors 1 Mazorchuk, Volodymyr 1 Meleiro, Juan 1 Muzychuk, Mikhail E. 1 Nazarova, Liudmila A. 1 Nekrashevych, Volodymyr V. 1 Novikov, Boris V. 1 Oliynyk, A. S. 1 Ol’shanskiĭ, Aleksandr Yur’evich 1 Ovsienko, Sergei A. 1 Perestyuk, Mykola Oleksiĭovych 1 Petrichkovich, Vasil’ Mikhaĭlovich 1 Plachotnik, Vladimir V. 1 Plakhotnyk, V. V. 1 Rabanovich, Viacheslav I. 1 Roiter, Andrei V. 1 Samoĭlenko, Anatoliĭ Mykhaĭlovych 1 Semko, Nikolaj N. 1 Senoguchi Borges, Victor 1 Shaked-Monderer, Naomi 1 Sharko, Volodymyr Vasil’ovych 1 Shemetkov, Leonid Aleksandrovich 1 Shestakov, Ivan Pavlovich 1 Shvai, Nadiya 1 Solovera, Thiago 1 Sta. Maria, John Patrick 1 Sushchans’kyĭ, Vitaliĭ Ivanovych 1 Tanaka, Yuichi 1 Tsurkov, Arkady 1 Varbanets, Pavel 1 Ventilari Sodré, Eduardo 1 Zel’manov, Efim Isaakovich 1 Zhuravlev, Viktor N. all top 5 Serials 53 Linear Algebra and its Applications 4 ELA. The Electronic Journal of Linear Algebra 2 Ukrainian Mathematical Journal 2 Journal of Algebra 2 Journal of Mathematical Sciences (New York) 2 Algebra and Discrete Mathematics 2 São Paulo Journal of Mathematical Sciences 1 Linear and Multilinear Algebra 1 Journal of Soviet Mathematics 1 Positivity 1 Special Matrices all top 5 Fields 71 Linear and multilinear algebra; matrix theory (15-XX) 19 Associative rings and algebras (16-XX) 8 Combinatorics (05-XX) 7 Operator theory (47-XX) 4 Numerical analysis (65-XX) 3 Nonassociative rings and algebras (17-XX) 3 Group theory and generalizations (20-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Functional analysis (46-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Number theory (11-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 65 Publications have been cited 606 times in 307 Documents Cited by ▼ Year ▼ Canonical forms for complex matrix congruence and \(^{*}\)-congruence. Zbl 1098.15004 Horn, Roger A.; Sergeichuk, Vladimir V. 51 2006 Canonical matrices for linear matrix problems. Zbl 0967.15007 Sergeichuk, Vladimir V. 49 2000 Complexity of matrix problems. Zbl 1030.15011 Belitskii, Genrich R.; Sergeichuk, Vladimir V. 39 2003 Congruences of a square matrix and its transpose. Zbl 1068.15007 Horn, Roger A.; Sergeichuk, Vladimir V. 38 2004 Canonical matrices of bilinear and sesquilinear forms. Zbl 1141.15011 Horn, Roger A.; Sergeichuk, Vladimir V. 33 2008 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. Zbl 0346.13005 Nazarova, L. A.; Roiter, A. V.; Sergeichuk, V. V.; Bondarenko, V. M. 26 1972 Roth’s solvability criteria for the matrix equations \(AX-\hat{X}B=C\) and \(X-A\hat{X}B=C\) over the skew field of quaternions with an involutive automorphism \(q \mapsto \hat{q}\). Zbl 1352.15018 Futorny, Vyacheslav; Klymchuk, Tetiana; Sergeichuk, Vladimir V. 26 2016 A regularization algorithm for matrices of bilinear and sesquilinear forms. Zbl 1090.15018 Horn, Roger A.; Sergeichuk, Vladimir V. 21 2006 Miniversal deformations of matrices of bilinear forms. Zbl 1245.15017 Dmytryshyn, Andrii R.; Futorny, Vyacheslav; Sergeichuk, Vladimir V. 19 2012 Systems of subspaces of a unitary space. Zbl 1261.15004 Bondarenko, Vitalij M.; Futorny, Vyacheslav; Klimchuk, Tatiana; Sergeichuk, Vladimir V.; Yusenko, Kostyantyn 19 2013 Unitary and Euclidean representations of a quiver. Zbl 0934.15011 Sergeichuk, Vladimir V. 18 1998 Canonical forms for unitary congruence and \(^*\)congruence. Zbl 1183.15010 Horn, Roger A.; Sergeichuk, Vladimir V. 18 2009 Simplest miniversal deformations of matrices, matrix pencils, and contragredient matrix pencils. Zbl 0949.15017 García-Planas, M. Isabel; Sergeichuk, Vladimir V. 17 1999 Computation of canonical matrices for chains and cycles of linear mappings. Zbl 1045.65038 Sergeichuk, Vladimir V. 17 2004 Problems of classifying associative or Lie algebras and triples of symmetric or skew-symmetric matrices are wild. Zbl 1159.17304 Belitskii, Genrich; Lipyanski, Ruvim; Sergeichuk, Vladimir V. 16 2005 Canonical matrices of isometric operators on indefinite inner product spaces. Zbl 1141.15012 Sergeichuk, Vladimir V. 15 2008 Change of the congruence canonical form of 2-by-2 and 3-by-3 matrices under perturbations and bundles of matrices under congruence. Zbl 1305.15032 Dmytryshyn, Andrii; Futorny, Vyacheslav; Kågström, Bo; Klimenko, Lena; Sergeichuk, Vladimir V. 13 2015 Symmetric matrix pencils: codimension counts and the solution of a pair of matrix equations. Zbl 1321.15029 Dmytryshyn, Andrii; Kagstrom, Bo; Sergeichuk, Vladimir V. 13 2014 The problems of classifying pairs of forms and local algebras with zero cube radical are wild. Zbl 1082.16025 Belitskii, Genrich; Bondarenko, Vitalij M.; Lipyanski, Ruvim; Plachotnik, Vladimir V.; Sergeichuk, Vladimir V. 12 2005 Generalization of Roth’s solvability criteria to systems of matrix equations. Zbl 1365.15020 Dmytryshyn, Andrii; Futorny, Vyacheslav; Klymchuk, Tetiana; Sergeichuk, Vladimir V. 12 2017 Skew-symmetric matrix pencils: Codimension counts and the solution of a pair of matrix equations. Zbl 1266.15020 Dmytryshyn, Andrii; Kågström, Bo; Sergeichuk, Vladimir V. 12 2013 Miniversal deformations of matrices under *congruence and reducing transformations. Zbl 1321.15026 Dmytryshyn, Andrii; Futorny, Vyacheslav; Sergeichuk, Vladimir V. 10 2014 Change of the \(^*\)congruence canonical form of 2-by-2 matrices under perturbations. Zbl 1288.15015 Futorny, Vyacheslav; Klimenko, Lena; Sergeichuk, Vladimir 9 2014 Block triangular miniversal deformations of matrices and matrix pencils. Zbl 1217.15017 Klimenko, Lena; Sergeichuk, Vladimir V. 7 2010 Problems of classifying associative or Lie algebras over a field of characteristic not two and finite metabelian groups are wild. Zbl 1237.16014 Belitskii, Genrich; Dmytryshyn, Andrii R.; Lipyanski, Ruvim; Sergeichuk, Vladimir V.; Tsurkov, Arkady 7 2009 Solution of linear matrix equations in a *congruence class. Zbl 1092.15010 Horn, Roger A.; Sergeichuk, Vladimir V.; Shaked-Monderer, Naomi 7 2005 Wildness for tensors. Zbl 1447.16011 Futorny, Vyacheslav; Grochow, Joshua A.; Sergeichuk, Vladimir V. 7 2019 A canonical form for nonderogatory matrices under unitary similarity. Zbl 1288.15014 Futorny, Vyacheslav; Horn, Roger A.; Sergeichuk, Vladimir V. 6 2011 Linearization method in classification problems of linear algebra. Zbl 1345.15001 Sergeichuk, Vladimir V. 6 2007 A criterion for unitary similarity of upper triangular matrices in general position. Zbl 1223.15016 Farenick, Douglas; Futorny, Vyacheslav; Gerasimova, Tatiana G.; Sergeichuk, Vladimir V.; Shvai, Nadya 5 2011 Littlewood’s algorithm and quaternion matrices. Zbl 0984.15017 Merino, Dennis I.; Sergeichuk, Vladimir V. 5 1999 Consimilarity and quaternion matrix equations \(AX -\hat{X}B = C\), \(X - A\hat{X}B = C\). Zbl 1310.15022 Klimchuk, Tatiana; Sergeichuk, Vladimir V. 5 2014 Simultaneous unitary equivalences. Zbl 1281.65068 Gerasimova, Tatiana G.; Horn, Roger A.; Sergeichuk, Vladimir V. 5 2013 Remarks on the classification of a pair of commuting semilinear operators. Zbl 1260.15004 Duarte de Oliveira, Debora; Horn, Roger A.; Klimchuk, Tatiana; Sergeichuk, Vladimir V. 4 2012 Topological classification of chains of linear mappings. Zbl 1250.15017 Rybalkina, Tetiana; Sergeichuk, Vladimir V. 4 2012 Wildness of the problems of classifying two-dimensional spaces of commuting linear operators and certain Lie algebras. Zbl 1374.15024 Futorny, Vyacheslav; Klymchuk, Tetiana; Petravchuk, Anatolii P.; Sergeichuk, Vladimir V. 4 2018 Specht’s criterion for systems of linear mappings. Zbl 1358.15007 Futorny, Vyacheslav; Horn, Roger A.; Sergeichuk, Vladimir V. 4 2017 An informal introduction to perturbations of matrices determined up to similarity or congruence. Zbl 1317.15002 Klimenko, Lena; Sergeichuk, Vladimir V. 4 2014 Matrices that are self-congruent only via matrices of determinant one. Zbl 1176.15014 Gerasimova, Tatyana G.; Horn, Roger A.; Sergeichuk, Vladimir V. 3 2009 Congruence of multilinear forms. Zbl 1126.15032 Belitskii, Genrich R.; Sergeichuk, Vladimir V. 3 2006 Pairs of mutually annihilating operators. Zbl 1157.15008 Bondarenko, Vitalij M.; Gerasimova, Tatiana G.; Sergeichuk, Vladimir V. 3 2009 Symplectic spaces and pairs of symmetric and nonsingular skew-symmetric matrices under congruence. Zbl 1376.15005 Bovdi, Victor A.; Horn, Roger A.; Salim, Mohamed A.; Sergeichuk, Vladimir V. 3 2018 Classification of linear mappings between indefinite inner product spaces. Zbl 1426.15016 Meleiro, Juan; Sergeichuk, Vladimir V.; Solovera, Thiago; Zaidan, André 3 2017 Estimate of the number of one-parameter families of modules over a tame algebra. Zbl 1063.16021 Brüstle, Thomas; Sergeichuk, Vladimir V. 3 2003 Topological classification of Möbius transformations. Zbl 1294.30086 Rybalkina, T.; Sergeichuk, V. 3 2013 Regularizing decompositions for matrix pencils and a topological classification of pairs of linear mappings. Zbl 1302.15014 Futorny, Vyacheslav; Rybalkina, Tetiana; Sergeichuk, Vladimir V. 3 2014 Normal form of \(m\)-by-\(n\)-by-2 matrices for equivalence. Zbl 1184.15011 Belitskii, Genrich; Bershadsky, Maxim; Sergeichuk, Vladimir V. 2 2008 Tridiagonal canonical matrices of bilinear or sesquilinear forms and of pairs of symmetric, skew-symmetric, or Hermitian forms. Zbl 1138.15002 Futorny, Vyacheslav; Horn, Roger A.; Sergeichuk, Vladimir V. 2 2008 Generic families of matrix pencils and their bifurcation diagrams. Zbl 1049.15006 García-Planas, M. Isabel; Sergeichuk, Vladimir V. 2 2001 Canonical form of \(m\)-by-2-by-2 matrices over a field of characteristic other than two. Zbl 1107.15005 Belitskii, Genrich; Bershadsky, Maxim; Sergeichuk, Vladimir V. 2 2006 Neighborhood radius estimation for Arnold’s miniversal deformations of complex and \(p\)-adic matrices. Zbl 1353.15009 Bovdi, Victor A.; Salim, Mohammed A.; Sergeichuk, Vladimir V. 2 2017 Topological classification of the oriented cycles of linear mappings. Zbl 1347.15017 Rybalkina, T. V.; Sergeichuk, V. V. 2 2015 Isometric and selfadjoint operators on a vector space with nondegenerate diagonalizable form. Zbl 1437.15018 Caalim, Jonathan V.; Futorny, Vyacheslav; Sergeichuk, Vladimir V.; Tanaka, Yu-ichi 2 2020 Classification of sesquilinear forms with the first argument on a subspace or a factor space. Zbl 1118.15025 Futorny, Vyacheslav; Sergeichuk, Vladimir V. 1 2007 Reduction of a pair of skew-symmetric matrices to its canonical form under congruence. Zbl 1382.15015 Bovdi, Victor A.; Gerasimova, Tatiana G.; Salim, Mohamed A.; Sergeichuk, Vladimir V. 1 2018 Generic canonical form of pairs of matrices with zeros. Zbl 1055.15016 Gaiduk, Tat’yana N.; Sergeichuk, Vladimir V. 1 2004 Rigid systems of second-order linear differential equations. Zbl 1094.34005 García-Planas, M. Isabel; Magret, M. Dolors; Sergeichuk, Vladimir V.; Zharko, Nadya A. 1 2006 Canonical matrices and related questions. Zbl 1199.15001 Sergeichuk, V. V. 1 2006 Topological classification of sesquilinear forms: reduction to the nonsingular case. Zbl 1381.15013 da Fonseca, Carlos M.; Rybalkina, Tetiana; Sergeichuk, Vladimir V. 1 2016 Congruence of matrix spaces, matrix tuples, and multilinear maps. Zbl 1458.15004 Belitskii, Genrich R.; Futorny, Vyacheslav; Muzychuk, Mikhail; Sergeichuk, Vladimir V. 1 2021 Lipschitz property for systems of linear mappings and bilinear forms. Zbl 1414.15013 Alazemi, Abdullah; Anđelić, Milica; da Fonseca, Carlos M.; Sergeichuk, Vladimir V. 1 2019 Each \(n\)-by-\(n\) matrix with \(n>1\) is a sum of 5 coninvolutory matrices. Zbl 1346.15010 Abara, Ma. Nerissa M.; Merino, Dennis I.; Rabanovich, Viacheslav I.; Sergeichuk, Vladimir V.; Sta. Maria, John Patrick 1 2016 Operators on positive semidefinite inner product spaces. Zbl 1435.15010 Bovdi, Victor A.; Klymchuk, Tetiana; Rybalkina, Tetiana; Salim, Mohamed A.; Sergeichuk, Vladimir V. 1 2020 Cycles of linear and semilinear mappings. Zbl 1266.15002 de Oliveira, Debora Duarte; Futorny, Vyacheslav; Klimchuk, Tatiana; Kovalenko, Dmitry; Sergeichuk, Vladimir V. 1 2013 Perturbation theory of matrix pencils through miniversal deformations. Zbl 1482.15008 Futorny, Vyacheslav; Klymchuk, Tetiana; Klymenko, Olena; Sergeichuk, Vladimir V.; Shvai, Nadiya 1 2021 Congruence of matrix spaces, matrix tuples, and multilinear maps. Zbl 1458.15004 Belitskii, Genrich R.; Futorny, Vyacheslav; Muzychuk, Mikhail; Sergeichuk, Vladimir V. 1 2021 Perturbation theory of matrix pencils through miniversal deformations. Zbl 1482.15008 Futorny, Vyacheslav; Klymchuk, Tetiana; Klymenko, Olena; Sergeichuk, Vladimir V.; Shvai, Nadiya 1 2021 Isometric and selfadjoint operators on a vector space with nondegenerate diagonalizable form. Zbl 1437.15018 Caalim, Jonathan V.; Futorny, Vyacheslav; Sergeichuk, Vladimir V.; Tanaka, Yu-ichi 2 2020 Operators on positive semidefinite inner product spaces. Zbl 1435.15010 Bovdi, Victor A.; Klymchuk, Tetiana; Rybalkina, Tetiana; Salim, Mohamed A.; Sergeichuk, Vladimir V. 1 2020 Wildness for tensors. Zbl 1447.16011 Futorny, Vyacheslav; Grochow, Joshua A.; Sergeichuk, Vladimir V. 7 2019 Lipschitz property for systems of linear mappings and bilinear forms. Zbl 1414.15013 Alazemi, Abdullah; Anđelić, Milica; da Fonseca, Carlos M.; Sergeichuk, Vladimir V. 1 2019 Wildness of the problems of classifying two-dimensional spaces of commuting linear operators and certain Lie algebras. Zbl 1374.15024 Futorny, Vyacheslav; Klymchuk, Tetiana; Petravchuk, Anatolii P.; Sergeichuk, Vladimir V. 4 2018 Symplectic spaces and pairs of symmetric and nonsingular skew-symmetric matrices under congruence. Zbl 1376.15005 Bovdi, Victor A.; Horn, Roger A.; Salim, Mohamed A.; Sergeichuk, Vladimir V. 3 2018 Reduction of a pair of skew-symmetric matrices to its canonical form under congruence. Zbl 1382.15015 Bovdi, Victor A.; Gerasimova, Tatiana G.; Salim, Mohamed A.; Sergeichuk, Vladimir V. 1 2018 Generalization of Roth’s solvability criteria to systems of matrix equations. Zbl 1365.15020 Dmytryshyn, Andrii; Futorny, Vyacheslav; Klymchuk, Tetiana; Sergeichuk, Vladimir V. 12 2017 Specht’s criterion for systems of linear mappings. Zbl 1358.15007 Futorny, Vyacheslav; Horn, Roger A.; Sergeichuk, Vladimir V. 4 2017 Classification of linear mappings between indefinite inner product spaces. Zbl 1426.15016 Meleiro, Juan; Sergeichuk, Vladimir V.; Solovera, Thiago; Zaidan, André 3 2017 Neighborhood radius estimation for Arnold’s miniversal deformations of complex and \(p\)-adic matrices. Zbl 1353.15009 Bovdi, Victor A.; Salim, Mohammed A.; Sergeichuk, Vladimir V. 2 2017 Roth’s solvability criteria for the matrix equations \(AX-\hat{X}B=C\) and \(X-A\hat{X}B=C\) over the skew field of quaternions with an involutive automorphism \(q \mapsto \hat{q}\). Zbl 1352.15018 Futorny, Vyacheslav; Klymchuk, Tetiana; Sergeichuk, Vladimir V. 26 2016 Topological classification of sesquilinear forms: reduction to the nonsingular case. Zbl 1381.15013 da Fonseca, Carlos M.; Rybalkina, Tetiana; Sergeichuk, Vladimir V. 1 2016 Each \(n\)-by-\(n\) matrix with \(n>1\) is a sum of 5 coninvolutory matrices. Zbl 1346.15010 Abara, Ma. Nerissa M.; Merino, Dennis I.; Rabanovich, Viacheslav I.; Sergeichuk, Vladimir V.; Sta. Maria, John Patrick 1 2016 Change of the congruence canonical form of 2-by-2 and 3-by-3 matrices under perturbations and bundles of matrices under congruence. Zbl 1305.15032 Dmytryshyn, Andrii; Futorny, Vyacheslav; Kågström, Bo; Klimenko, Lena; Sergeichuk, Vladimir V. 13 2015 Topological classification of the oriented cycles of linear mappings. Zbl 1347.15017 Rybalkina, T. V.; Sergeichuk, V. V. 2 2015 Symmetric matrix pencils: codimension counts and the solution of a pair of matrix equations. Zbl 1321.15029 Dmytryshyn, Andrii; Kagstrom, Bo; Sergeichuk, Vladimir V. 13 2014 Miniversal deformations of matrices under *congruence and reducing transformations. Zbl 1321.15026 Dmytryshyn, Andrii; Futorny, Vyacheslav; Sergeichuk, Vladimir V. 10 2014 Change of the \(^*\)congruence canonical form of 2-by-2 matrices under perturbations. Zbl 1288.15015 Futorny, Vyacheslav; Klimenko, Lena; Sergeichuk, Vladimir 9 2014 Consimilarity and quaternion matrix equations \(AX -\hat{X}B = C\), \(X - A\hat{X}B = C\). Zbl 1310.15022 Klimchuk, Tatiana; Sergeichuk, Vladimir V. 5 2014 An informal introduction to perturbations of matrices determined up to similarity or congruence. Zbl 1317.15002 Klimenko, Lena; Sergeichuk, Vladimir V. 4 2014 Regularizing decompositions for matrix pencils and a topological classification of pairs of linear mappings. Zbl 1302.15014 Futorny, Vyacheslav; Rybalkina, Tetiana; Sergeichuk, Vladimir V. 3 2014 Systems of subspaces of a unitary space. Zbl 1261.15004 Bondarenko, Vitalij M.; Futorny, Vyacheslav; Klimchuk, Tatiana; Sergeichuk, Vladimir V.; Yusenko, Kostyantyn 19 2013 Skew-symmetric matrix pencils: Codimension counts and the solution of a pair of matrix equations. Zbl 1266.15020 Dmytryshyn, Andrii; Kågström, Bo; Sergeichuk, Vladimir V. 12 2013 Simultaneous unitary equivalences. Zbl 1281.65068 Gerasimova, Tatiana G.; Horn, Roger A.; Sergeichuk, Vladimir V. 5 2013 Topological classification of Möbius transformations. Zbl 1294.30086 Rybalkina, T.; Sergeichuk, V. 3 2013 Cycles of linear and semilinear mappings. Zbl 1266.15002 de Oliveira, Debora Duarte; Futorny, Vyacheslav; Klimchuk, Tatiana; Kovalenko, Dmitry; Sergeichuk, Vladimir V. 1 2013 Miniversal deformations of matrices of bilinear forms. Zbl 1245.15017 Dmytryshyn, Andrii R.; Futorny, Vyacheslav; Sergeichuk, Vladimir V. 19 2012 Remarks on the classification of a pair of commuting semilinear operators. Zbl 1260.15004 Duarte de Oliveira, Debora; Horn, Roger A.; Klimchuk, Tatiana; Sergeichuk, Vladimir V. 4 2012 Topological classification of chains of linear mappings. Zbl 1250.15017 Rybalkina, Tetiana; Sergeichuk, Vladimir V. 4 2012 A canonical form for nonderogatory matrices under unitary similarity. Zbl 1288.15014 Futorny, Vyacheslav; Horn, Roger A.; Sergeichuk, Vladimir V. 6 2011 A criterion for unitary similarity of upper triangular matrices in general position. Zbl 1223.15016 Farenick, Douglas; Futorny, Vyacheslav; Gerasimova, Tatiana G.; Sergeichuk, Vladimir V.; Shvai, Nadya 5 2011 Block triangular miniversal deformations of matrices and matrix pencils. Zbl 1217.15017 Klimenko, Lena; Sergeichuk, Vladimir V. 7 2010 Canonical forms for unitary congruence and \(^*\)congruence. Zbl 1183.15010 Horn, Roger A.; Sergeichuk, Vladimir V. 18 2009 Problems of classifying associative or Lie algebras over a field of characteristic not two and finite metabelian groups are wild. Zbl 1237.16014 Belitskii, Genrich; Dmytryshyn, Andrii R.; Lipyanski, Ruvim; Sergeichuk, Vladimir V.; Tsurkov, Arkady 7 2009 Matrices that are self-congruent only via matrices of determinant one. Zbl 1176.15014 Gerasimova, Tatyana G.; Horn, Roger A.; Sergeichuk, Vladimir V. 3 2009 Pairs of mutually annihilating operators. Zbl 1157.15008 Bondarenko, Vitalij M.; Gerasimova, Tatiana G.; Sergeichuk, Vladimir V. 3 2009 Canonical matrices of bilinear and sesquilinear forms. Zbl 1141.15011 Horn, Roger A.; Sergeichuk, Vladimir V. 33 2008 Canonical matrices of isometric operators on indefinite inner product spaces. Zbl 1141.15012 Sergeichuk, Vladimir V. 15 2008 Normal form of \(m\)-by-\(n\)-by-2 matrices for equivalence. Zbl 1184.15011 Belitskii, Genrich; Bershadsky, Maxim; Sergeichuk, Vladimir V. 2 2008 Tridiagonal canonical matrices of bilinear or sesquilinear forms and of pairs of symmetric, skew-symmetric, or Hermitian forms. Zbl 1138.15002 Futorny, Vyacheslav; Horn, Roger A.; Sergeichuk, Vladimir V. 2 2008 Linearization method in classification problems of linear algebra. Zbl 1345.15001 Sergeichuk, Vladimir V. 6 2007 Classification of sesquilinear forms with the first argument on a subspace or a factor space. Zbl 1118.15025 Futorny, Vyacheslav; Sergeichuk, Vladimir V. 1 2007 Canonical forms for complex matrix congruence and \(^{*}\)-congruence. Zbl 1098.15004 Horn, Roger A.; Sergeichuk, Vladimir V. 51 2006 A regularization algorithm for matrices of bilinear and sesquilinear forms. Zbl 1090.15018 Horn, Roger A.; Sergeichuk, Vladimir V. 21 2006 Congruence of multilinear forms. Zbl 1126.15032 Belitskii, Genrich R.; Sergeichuk, Vladimir V. 3 2006 Canonical form of \(m\)-by-2-by-2 matrices over a field of characteristic other than two. Zbl 1107.15005 Belitskii, Genrich; Bershadsky, Maxim; Sergeichuk, Vladimir V. 2 2006 Rigid systems of second-order linear differential equations. Zbl 1094.34005 García-Planas, M. Isabel; Magret, M. Dolors; Sergeichuk, Vladimir V.; Zharko, Nadya A. 1 2006 Canonical matrices and related questions. Zbl 1199.15001 Sergeichuk, V. V. 1 2006 Problems of classifying associative or Lie algebras and triples of symmetric or skew-symmetric matrices are wild. Zbl 1159.17304 Belitskii, Genrich; Lipyanski, Ruvim; Sergeichuk, Vladimir V. 16 2005 The problems of classifying pairs of forms and local algebras with zero cube radical are wild. Zbl 1082.16025 Belitskii, Genrich; Bondarenko, Vitalij M.; Lipyanski, Ruvim; Plachotnik, Vladimir V.; Sergeichuk, Vladimir V. 12 2005 Solution of linear matrix equations in a *congruence class. Zbl 1092.15010 Horn, Roger A.; Sergeichuk, Vladimir V.; Shaked-Monderer, Naomi 7 2005 Congruences of a square matrix and its transpose. Zbl 1068.15007 Horn, Roger A.; Sergeichuk, Vladimir V. 38 2004 Computation of canonical matrices for chains and cycles of linear mappings. Zbl 1045.65038 Sergeichuk, Vladimir V. 17 2004 Generic canonical form of pairs of matrices with zeros. Zbl 1055.15016 Gaiduk, Tat’yana N.; Sergeichuk, Vladimir V. 1 2004 Complexity of matrix problems. Zbl 1030.15011 Belitskii, Genrich R.; Sergeichuk, Vladimir V. 39 2003 Estimate of the number of one-parameter families of modules over a tame algebra. Zbl 1063.16021 Brüstle, Thomas; Sergeichuk, Vladimir V. 3 2003 Generic families of matrix pencils and their bifurcation diagrams. Zbl 1049.15006 García-Planas, M. Isabel; Sergeichuk, Vladimir V. 2 2001 Canonical matrices for linear matrix problems. Zbl 0967.15007 Sergeichuk, Vladimir V. 49 2000 Simplest miniversal deformations of matrices, matrix pencils, and contragredient matrix pencils. Zbl 0949.15017 García-Planas, M. Isabel; Sergeichuk, Vladimir V. 17 1999 Littlewood’s algorithm and quaternion matrices. Zbl 0984.15017 Merino, Dennis I.; Sergeichuk, Vladimir V. 5 1999 Unitary and Euclidean representations of a quiver. Zbl 0934.15011 Sergeichuk, Vladimir V. 18 1998 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. Zbl 0346.13005 Nazarova, L. A.; Roiter, A. V.; Sergeichuk, V. V.; Bondarenko, V. M. 26 1972 all cited Publications top 5 cited Publications all top 5 Cited by 325 Authors 52 Sergeichuk, Vladimir Vasil’evich 22 Futorny, Vyacheslav M. 18 Simson, Daniel 17 Dmytryshyn, Andrii R. 14 de Terán, Fernando 13 He, ZhuoHeng 13 Horn, Roger Alan 13 Ikramov, Saidkhakim Dododshanovich 10 Klymchuk, Tetiana 9 Wang, Qingwen 8 Belitskii, Genrich R. 8 Zajac, Katarzyna 7 Bondarenko, Vitalij M. 7 Dopico, Froilán M. 7 Rybalkina, Tetiana 6 García-Planas, Maria Isabel 6 Gąsiorek, Marcin 6 Gerasimova, Tatiana G. 6 Granario, Daryl Q. 6 Kågström, Bo 6 Shavarovs’kij, B. Z. 5 Kyrchei, Ivan I. 5 Merino, Dennis I. 5 Paras, Agnes T. 5 Xu, Yunge 5 Zhang, Yingbo 4 Bovdi, Victor A. 4 da Fonseca, Carlos Martins 4 De La Cruz, Ralph John Lamadrid 4 Falcone, Giovanni 4 Guterman, Alexander Èmilevich 4 Iusenko, Kostiantyn 4 Lipyanski, Ruvim 4 Liu, Xin 4 Mehrmann, Volker 4 Petravchuk, Anatolii P. 4 Salim, Mohamed Ahmed M. 4 Zhang, Yang 3 Borobia, Alberto 3 Canogar, Roberto 3 Felisiak, Mariusz 3 Kaygorodov, Ivan 3 Klimchuk, Tatiana 3 Mehl, Christian 3 Militaru, Gigel 3 Mróz, Andrzej 3 Qiao, Youming 3 Ran, André C. M. 3 Rodman, Leiba X. 3 Szechtman, Fernando 3 Volkov, Yuriĭ S. 2 Agore, Ana-Loredana 2 Ahmadi, S. Ruhallah 2 Ali, Ilyas 2 Bartolone, Claudio G. 2 Bershadsky, Maxim 2 Brüstle, Thomas 2 Caalim, Jonathan V. 2 Chang, Haixia 2 Chen, Yuan 2 Cohen, Nir 2 de Seguins Pazzis, Clément 2 Di Bartolo, Alfonso 2 Dowbor, Piotr 2 Duan, Xuefeng 2 Duarte de Oliveira, Debora 2 Edelman, Alan Stuart 2 Fialowski, Alice 2 Garcia, Stephan Ramon 2 Gongopadhyay, Krishnendu 2 Grochow, Joshua A. 2 Groenewald, Gilbert J. 2 Iannazzo, Bruno 2 Jeong, Sungwoo 2 Jing, Naihuan 2 Kressner, Daniel 2 Kudryavtsev, Dmitry K. 2 Lin, Chunyan 2 Mackey, D. Steven 2 Markova, Olga V. 2 Mazumder, Sudip K. 2 Pellegrini, Marco Antonio 2 Penkava, Michael 2 Pereira, Edgar 2 Poloni, Federico Giovanni 2 Prokip, Volodymyr M. 2 Qiu, Li 2 Rehman, Abdur 2 Robol, Leonardo 2 Shakoor, Abdul 2 Shoemaker, Amy L. 2 Slapar, Marko 2 Tanaka, Yuichi 2 Tupan, Alexandru 2 Turowska, Lyudmila B. 2 Vanetik, Natalia 2 Wang, Meng 2 Wang, Xiangxiang 2 Xie, Mengyan 2 Yu, Shaowen ...and 225 more Authors all top 5 Cited in 86 Serials 125 Linear Algebra and its Applications 14 Linear and Multilinear Algebra 10 Journal of Mathematical Sciences (New York) 8 Communications in Algebra 8 Journal of Algebra 7 SIAM Journal on Matrix Analysis and Applications 6 Ukrainian Mathematical Journal 5 Applied Mathematics and Computation 5 Advances in Applied Clifford Algebras 4 Science in China. Series A 4 ELA. The Electronic Journal of Linear Algebra 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. 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