Futorny, Vyacheslav; Klymchuk, Tetiana; Klymenko, Olena; Sergeichuk, Vladimir V.; Shvai, Nadiya Perturbation theory of matrix pencils through miniversal deformations. (English) Zbl 1482.15008 Linear Algebra Appl. 614, 455-499 (2021). Reviewer: Kui Ji (Shijiazhuang) MSC: 15A21 15A18 15A22 15A45 47A55 PDFBibTeX XMLCite \textit{V. Futorny} et al., Linear Algebra Appl. 614, 455--499 (2021; Zbl 1482.15008) Full Text: DOI
Bondarenko, Vitalij M.; Futorny, Vyacheslav; Petravchuk, Anatolii P.; Sergeichuk, Vladimir V. Pairs of commuting nilpotent operators with one-dimensional intersection of kernels and matrices commuting with a Weyr matrix. (English) Zbl 1459.15013 Linear Algebra Appl. 612, 188-205 (2021). Reviewer: Ninoslav Truhar (Osijek) MSC: 15A21 15A27 16G60 PDFBibTeX XMLCite \textit{V. M. Bondarenko} et al., Linear Algebra Appl. 612, 188--205 (2021; Zbl 1459.15013) Full Text: DOI arXiv
Senoguchi Borges, Victor; Kashuba, Iryna; Sergeichuk, Vladimir V.; Ventilari Sodré, Eduardo; Zaidan, André Classification of linear operators satisfying \((Au,v)=(u,a^rv)\) or \((Au,a^rv)=(u,v)\) on a vector space with indefinite scalar product. (English) Zbl 1520.47004 Linear Algebra Appl. 611, 118-134 (2021). MSC: 47A05 15A21 46C20 47B50 47S05 PDFBibTeX XMLCite \textit{V. Senoguchi Borges} et al., Linear Algebra Appl. 611, 118--134 (2021; Zbl 1520.47004) Full Text: DOI arXiv
Belitskii, Genrich R.; Futorny, Vyacheslav; Muzychuk, Mikhail; Sergeichuk, Vladimir V. Congruence of matrix spaces, matrix tuples, and multilinear maps. (English) Zbl 1458.15004 Linear Algebra Appl. 609, 317-331 (2021). Reviewer: John D. Dixon (Ottawa) MSC: 15A04 15A21 15A30 15A63 15A69 PDFBibTeX XMLCite \textit{G. R. Belitskii} et al., Linear Algebra Appl. 609, 317--331 (2021; Zbl 1458.15004) Full Text: DOI arXiv
Caalim, Jonathan V.; Futorny, Vyacheslav; Sergeichuk, Vladimir V.; Tanaka, Yu-ichi Isometric and selfadjoint operators on a vector space with nondegenerate diagonalizable form. (English) Zbl 1437.15018 Linear Algebra Appl. 587, 92-110 (2020). Reviewer: V. Lokesha (Bangalore) MSC: 15A21 15A63 46C20 47B50 47A07 PDFBibTeX XMLCite \textit{J. V. Caalim} et al., Linear Algebra Appl. 587, 92--110 (2020; Zbl 1437.15018) Full Text: DOI arXiv
Bovdi, Victor A.; Klymchuk, Tetiana; Rybalkina, Tetiana; Salim, Mohamed A.; Sergeichuk, Vladimir V. Operators on positive semidefinite inner product spaces. (English) Zbl 1435.15010 Linear Algebra Appl. 596, 82-105 (2020). MSC: 15A21 15B57 15A42 15A63 47B50 47B40 PDFBibTeX XMLCite \textit{V. A. Bovdi} et al., Linear Algebra Appl. 596, 82--105 (2020; Zbl 1435.15010) Full Text: DOI arXiv
Alazemi, Abdullah; Anđelić, Milica; da Fonseca, Carlos M.; Sergeichuk, Vladimir V. Lipschitz property for systems of linear mappings and bilinear forms. (English) Zbl 1414.15013 Linear Algebra Appl. 573, 26-36 (2019). MSC: 15A21 15A63 16G20 05C50 PDFBibTeX XMLCite \textit{A. Alazemi} et al., Linear Algebra Appl. 573, 26--36 (2019; Zbl 1414.15013) Full Text: DOI arXiv
Futorny, Vyacheslav; Grochow, Joshua A.; Sergeichuk, Vladimir V. Wildness for tensors. (English) Zbl 1447.16011 Linear Algebra Appl. 566, 212-244 (2019). MSC: 16G60 15A72 15A69 47A07 PDFBibTeX XMLCite \textit{V. Futorny} et al., Linear Algebra Appl. 566, 212--244 (2019; Zbl 1447.16011) Full Text: DOI arXiv
Futorny, Vyacheslav; Klymchuk, Tetiana; Sergeichuk, Vladimir V.; Shvai, Nadya A constructive proof of Pokrzywa’s theorem about perturbations of matrix pencils. arXiv:1907.03213 Preprint, arXiv:1907.03213 [math.RT] (2019). MSC: 15A21 15A22 BibTeX Cite \textit{V. Futorny} et al., ``A constructive proof of Pokrzywa's theorem about perturbations of matrix pencils'', Preprint, arXiv:1907.03213 [math.RT] (2019) Full Text: arXiv OA License
Bovdi, Victor A.; Gerasimova, Tatiana G.; Salim, Mohamed A.; Sergeichuk, Vladimir V. Reduction of a pair of skew-symmetric matrices to its canonical form under congruence. (English) Zbl 1382.15015 Linear Algebra Appl. 543, 17-30 (2018). MSC: 15A21 15A22 15B57 PDFBibTeX XMLCite \textit{V. A. Bovdi} et al., Linear Algebra Appl. 543, 17--30 (2018; Zbl 1382.15015) Full Text: DOI arXiv
Bovdi, Victor A.; Horn, Roger A.; Salim, Mohamed A.; Sergeichuk, Vladimir V. Symplectic spaces and pairs of symmetric and nonsingular skew-symmetric matrices under congruence. (English) Zbl 1376.15005 Linear Algebra Appl. 537, 84-99 (2018). MSC: 15A21 15A63 PDFBibTeX XMLCite \textit{V. A. Bovdi} et al., Linear Algebra Appl. 537, 84--99 (2018; Zbl 1376.15005) Full Text: DOI arXiv
Futorny, Vyacheslav; Klymchuk, Tetiana; Petravchuk, Anatolii P.; Sergeichuk, Vladimir V. Wildness of the problems of classifying two-dimensional spaces of commuting linear operators and certain Lie algebras. (English) Zbl 1374.15024 Linear Algebra Appl. 536, 201-209 (2018). MSC: 15A21 16G60 17B10 PDFBibTeX XMLCite \textit{V. Futorny} et al., Linear Algebra Appl. 536, 201--209 (2018; Zbl 1374.15024) Full Text: DOI arXiv
Meleiro, Juan; Sergeichuk, Vladimir V.; Solovera, Thiago; Zaidan, André Classification of linear mappings between indefinite inner product spaces. (English) Zbl 1426.15016 Linear Algebra Appl. 531, 356-374 (2017). MSC: 15A21 15A63 15B33 46C20 PDFBibTeX XMLCite \textit{J. Meleiro} et al., Linear Algebra Appl. 531, 356--374 (2017; Zbl 1426.15016) Full Text: DOI arXiv
Dmytryshyn, Andrii; Futorny, Vyacheslav; Klymchuk, Tetiana; Sergeichuk, Vladimir V. Generalization of Roth’s solvability criteria to systems of matrix equations. (English) Zbl 1365.15020 Linear Algebra Appl. 527, 294-302 (2017). MSC: 15A24 PDFBibTeX XMLCite \textit{A. Dmytryshyn} et al., Linear Algebra Appl. 527, 294--302 (2017; Zbl 1365.15020) Full Text: DOI arXiv
Futorny, Vyacheslav; Horn, Roger A.; Sergeichuk, Vladimir V. Specht’s criterion for systems of linear mappings. (English) Zbl 1358.15007 Linear Algebra Appl. 519, 278-295 (2017). MSC: 15A21 15A63 16G20 05A20 15A04 47A67 PDFBibTeX XMLCite \textit{V. Futorny} et al., Linear Algebra Appl. 519, 278--295 (2017; Zbl 1358.15007) Full Text: DOI arXiv
da Fonseca, Carlos M.; Futorny, Vyacheslav; Rybalkina, Tetiana; Sergeichuk, Vladimir V. Topological classification of systems of bilinear and sesquilinear forms. (English) Zbl 1355.15017 Linear Algebra Appl. 515, 1-5 (2017). MSC: 15A63 37C15 PDFBibTeX XMLCite \textit{C. M. da Fonseca} et al., Linear Algebra Appl. 515, 1--5 (2017; Zbl 1355.15017) Full Text: DOI arXiv
Bovdi, Victor A.; Salim, Mohammed A.; Sergeichuk, Vladimir V. Neighborhood radius estimation for Arnold’s miniversal deformations of complex and \(p\)-adic matrices. (English) Zbl 1353.15009 Linear Algebra Appl. 512, 97-112 (2017). MSC: 15A21 15B33 PDFBibTeX XMLCite \textit{V. A. Bovdi} et al., Linear Algebra Appl. 512, 97--112 (2017; Zbl 1353.15009) Full Text: DOI arXiv
Futorny, Vyacheslav; Klymchuk, Tetiana; Sergeichuk, Vladimir V. 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 \(q \mapsto \hat{q}\). (English) Zbl 1352.15018 Linear Algebra Appl. 510, 246-258 (2016). MSC: 15A24 15B33 PDFBibTeX XMLCite \textit{V. Futorny} et al., Linear Algebra Appl. 510, 246--258 (2016; Zbl 1352.15018) Full Text: DOI arXiv
Abara, Ma. Nerissa M.; Merino, Dennis I.; Rabanovich, Viacheslav I.; Sergeichuk, Vladimir V.; Sta. Maria, John Patrick Each \(n\)-by-\(n\) matrix with \(n>1\) is a sum of 5 coninvolutory matrices. (English) Zbl 1346.15010 Linear Algebra Appl. 508, 246-254 (2016). MSC: 15A21 15A23 PDFBibTeX XMLCite \textit{Ma. N. M. Abara} et al., Linear Algebra Appl. 508, 246--254 (2016; Zbl 1346.15010) Full Text: DOI arXiv
Klimchuk, Tatiana; Kovalenko, Dmitry; Rybalkina, Tetiana; Sergeichuk, Vladimir V. Tame systems of linear and semilinear mappings and representation-tame biquivers. (English) Zbl 1347.15004 da Fonseca, Carlos M. et al., A panorama of mathematics: pure and applied. Conference mathematics and its applications, Kuwait University, Safat, Kuwait, November 14–17, 2014. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1668-3/pbk; 978-1-4704-2902-7/ebook). Contemporary Mathematics 658, 103-114 (2016). MSC: 15A04 15A21 16G60 05C20 PDFBibTeX XMLCite \textit{T. Klimchuk} et al., Contemp. Math. 658, 103--114 (2016; Zbl 1347.15004) Full Text: DOI arXiv
da Fonseca, Carlos M.; Rybalkina, Tetiana; Sergeichuk, Vladimir V. Topological classification of sesquilinear forms: reduction to the nonsingular case. (English) Zbl 1381.15013 Linear Algebra Appl. 504, 581-589 (2016). MSC: 15A63 15A21 15B33 37J40 PDFBibTeX XMLCite \textit{C. M. da Fonseca} et al., Linear Algebra Appl. 504, 581--589 (2016; Zbl 1381.15013) Full Text: DOI arXiv
Rybalkina, T. V.; Sergeichuk, V. V. Topological classification of the oriented cycles of linear mappings. (English) Zbl 1347.15017 Ukr. Math. J. 66, No. 10, 1575-1581 (2015) and Ukr. Mat. Zh. 66, No. 10, 1407-1413 (2015). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 15A21 15A04 54H10 PDFBibTeX XMLCite \textit{T. V. Rybalkina} and \textit{V. V. Sergeichuk}, Ukr. Math. J. 66, No. 10, 1575--1581 (2015; Zbl 1347.15017) Full Text: DOI arXiv
Dmytryshyn, Andrii; Futorny, Vyacheslav; Kågström, Bo; Klimenko, Lena; Sergeichuk, Vladimir V. Change of the congruence canonical form of 2-by-2 and 3-by-3 matrices under perturbations and bundles of matrices under congruence. (English) Zbl 1305.15032 Linear Algebra Appl. 469, 305-334 (2015). MSC: 15A21 15A63 PDFBibTeX XMLCite \textit{A. Dmytryshyn} et al., Linear Algebra Appl. 469, 305--334 (2015; Zbl 1305.15032) Full Text: DOI arXiv
Klimenko, Lena; Sergeichuk, Vladimir V. An informal introduction to perturbations of matrices determined up to similarity or congruence. (English) Zbl 1317.15002 São Paulo J. Math. Sci. 8, No. 1, 1-22 (2014). MSC: 15-02 15A21 15A63 PDFBibTeX XMLCite \textit{L. Klimenko} and \textit{V. V. Sergeichuk}, São Paulo J. Math. Sci. 8, No. 1, 1--22 (2014; Zbl 1317.15002) Full Text: arXiv
Klimchuk, Tatiana; Sergeichuk, Vladimir V. Consimilarity and quaternion matrix equations \(AX -\hat{X}B = C\), \(X - A\hat{X}B = C\). (English) Zbl 1310.15022 Spec. Matrices 2, 180-186 (2014). MSC: 15A24 15A21 15B33 PDFBibTeX XMLCite \textit{T. Klimchuk} and \textit{V. V. Sergeichuk}, Spec. Matrices 2, 180--186 (2014; Zbl 1310.15022) Full Text: DOI arXiv
Futorny, Vyacheslav; Klimenko, Lena; Sergeichuk, Vladimir Change of the \(^*\)congruence canonical form of 2-by-2 matrices under perturbations. (English) Zbl 1288.15015 Electron. J. Linear Algebra 27, 146-154 (2014). MSC: 15A21 05C50 05C20 PDFBibTeX XMLCite \textit{V. Futorny} et al., Electron. J. Linear Algebra 27, 146--154 (2014; Zbl 1288.15015) Full Text: DOI arXiv
Dmytryshyn, Andrii; Kagstrom, Bo; Sergeichuk, Vladimir V. Symmetric matrix pencils: codimension counts and the solution of a pair of matrix equations. (English) Zbl 1321.15029 Electron. J. Linear Algebra 27, 1-18 (2014). MSC: 15A24 15A21 PDFBibTeX XMLCite \textit{A. Dmytryshyn} et al., Electron. J. Linear Algebra 27, 1--18 (2014; Zbl 1321.15029) Full Text: DOI Link
Futorny, Vyacheslav; Rybalkina, Tetiana; Sergeichuk, Vladimir V. Regularizing decompositions for matrix pencils and a topological classification of pairs of linear mappings. (English) Zbl 1302.15014 Linear Algebra Appl. 450, 121-137 (2014). MSC: 15A22 15A21 37C15 PDFBibTeX XMLCite \textit{V. Futorny} et al., Linear Algebra Appl. 450, 121--137 (2014; Zbl 1302.15014) Full Text: DOI arXiv
Dmytryshyn, Andrii; Futorny, Vyacheslav; Sergeichuk, Vladimir V. Miniversal deformations of matrices under *congruence and reducing transformations. (English) Zbl 1321.15026 Linear Algebra Appl. 446, 388-420 (2014). MSC: 15A21 15A63 47A07 PDFBibTeX XMLCite \textit{A. Dmytryshyn} et al., Linear Algebra Appl. 446, 388--420 (2014; Zbl 1321.15026) Full Text: DOI arXiv
Gerasimova, Tatiana G.; Horn, Roger A.; Sergeichuk, Vladimir V. Simultaneous unitary equivalences. (English) Zbl 1281.65068 Linear Algebra Appl. 438, No. 10, 3829-3835 (2013). MSC: 65F30 15A21 15A27 PDFBibTeX XMLCite \textit{T. G. Gerasimova} et al., Linear Algebra Appl. 438, No. 10, 3829--3835 (2013; Zbl 1281.65068) Full Text: DOI arXiv
de Oliveira, Debora Duarte; Futorny, Vyacheslav; Klimchuk, Tatiana; Kovalenko, Dmitry; Sergeichuk, Vladimir V. Cycles of linear and semilinear mappings. (English) Zbl 1266.15002 Linear Algebra Appl. 438, No. 8, 3442-3453 (2013). Reviewer: Chen Sheng (Harbin) MSC: 15A04 15A21 PDFBibTeX XMLCite \textit{D. D. de Oliveira} et al., Linear Algebra Appl. 438, No. 8, 3442--3453 (2013; Zbl 1266.15002) Full Text: DOI arXiv
Dmytryshyn, Andrii; Kågström, Bo; Sergeichuk, Vladimir V. Skew-symmetric matrix pencils: Codimension counts and the solution of a pair of matrix equations. (English) Zbl 1266.15020 Linear Algebra Appl. 438, No. 8, 3375-3396 (2013). Reviewer: Chen Sheng (Harbin) MSC: 15A22 15A24 PDFBibTeX XMLCite \textit{A. Dmytryshyn} et al., Linear Algebra Appl. 438, No. 8, 3375--3396 (2013; Zbl 1266.15020) Full Text: DOI
Bondarenko, Vitalij M.; Futorny, Vyacheslav; Klimchuk, Tatiana; Sergeichuk, Vladimir V.; Yusenko, Kostyantyn Systems of subspaces of a unitary space. (English) Zbl 1261.15004 Linear Algebra Appl. 438, No. 5, 2561-2573 (2013). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15A03 15A63 15A21 06A06 PDFBibTeX XMLCite \textit{V. M. Bondarenko} et al., Linear Algebra Appl. 438, No. 5, 2561--2573 (2013; Zbl 1261.15004) Full Text: DOI arXiv
Horn, Roger A.; Sergeichuk, Vladimir V. Representations of quivers and mixed graphs. arXiv:1312.7719 Preprint, arXiv:1312.7719 [math.RT] (2013). MSC: 15A21 16G20 BibTeX Cite \textit{R. A. Horn} and \textit{V. V. Sergeichuk}, ``Representations of quivers and mixed graphs'', Preprint, arXiv:1312.7719 [math.RT] (2013) Full Text: DOI arXiv OA License
Rybalkina, Tetiana; Sergeichuk, Vladimir V. Topological classification of chains of linear mappings. (English) Zbl 1250.15017 Linear Algebra Appl. 437, No. 3, 860-869 (2012). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 15A21 15A04 PDFBibTeX XMLCite \textit{T. Rybalkina} and \textit{V. V. Sergeichuk}, Linear Algebra Appl. 437, No. 3, 860--869 (2012; Zbl 1250.15017) Full Text: DOI arXiv
Duarte de Oliveira, Debora; Horn, Roger A.; Klimchuk, Tatiana; Sergeichuk, Vladimir V. Remarks on the classification of a pair of commuting semilinear operators. (English) Zbl 1260.15004 Linear Algebra Appl. 436, No. 9, 3362-3372 (2012). Reviewer: Wu Jing (Fayetteville) MSC: 15A04 15A21 05C20 05C50 PDFBibTeX XMLCite \textit{D. Duarte de Oliveira} et al., Linear Algebra Appl. 436, No. 9, 3362--3372 (2012; Zbl 1260.15004) Full Text: DOI arXiv
Dmytryshyn, Andrii R.; Futorny, Vyacheslav; Sergeichuk, Vladimir V. Miniversal deformations of matrices of bilinear forms. (English) Zbl 1245.15017 Linear Algebra Appl. 436, No. 7, 2670-2700 (2012). Reviewer: Wai-Shun Cheung (Hong Kong) MSC: 15A21 15A63 PDFBibTeX XMLCite \textit{A. R. Dmytryshyn} et al., Linear Algebra Appl. 436, No. 7, 2670--2700 (2012; Zbl 1245.15017) Full Text: DOI arXiv
Farenick, Douglas; Futorny, Vyacheslav; Gerasimova, Tatiana G.; Sergeichuk, Vladimir V.; Shvai, Nadya A criterion for unitary similarity of upper triangular matrices in general position. (English) Zbl 1223.15016 Linear Algebra Appl. 435, No. 6, 1356-1369 (2011). Reviewer: Grozio Stanilov (Sofia) MSC: 15A21 PDFBibTeX XMLCite \textit{D. Farenick} et al., Linear Algebra Appl. 435, No. 6, 1356--1369 (2011; Zbl 1223.15016) Full Text: DOI arXiv
Futorny, Vyacheslav; Horn, Roger A.; Sergeichuk, Vladimir V. A canonical form for nonderogatory matrices under unitary similarity. (English) Zbl 1288.15014 Linear Algebra Appl. 435, No. 4, 830-841 (2011). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 15A21 PDFBibTeX XMLCite \textit{V. Futorny} et al., Linear Algebra Appl. 435, No. 4, 830--841 (2011; Zbl 1288.15014) Full Text: DOI arXiv
Klimenko, Lena; Sergeichuk, Vladimir V. Block triangular miniversal deformations of matrices and matrix pencils. (English) Zbl 1217.15017 Olshevsky, Vadim (ed.) et al., Matrix methods. Theory, algorithms and applications. Dedicated to the memory of Gene Golub. Based on the 2nd international conference on matrix methods and operator equations, Moscow, Russia, July 23–27, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-601-4/hbk). 69-84 (2010). MSC: 15A21 15A22 PDFBibTeX XMLCite \textit{L. Klimenko} and \textit{V. V. Sergeichuk}, in: Matrix methods. Theory, algorithms and applications. Dedicated to the memory of Gene Golub. Based on the 2nd international conference on matrix methods and operator equations, Moscow, Russia, July 23--27, 2007. Hackensack, NJ: World Scientific. 69--84 (2010; Zbl 1217.15017) Full Text: arXiv
Sergeichuk, Vladimir V. Canonical matrices of forms and pairs of forms over finite and p-adic fields. arXiv:1011.3142 Preprint, arXiv:1011.3142 [math.RT] (2010). MSC: 15A21 BibTeX Cite \textit{V. V. Sergeichuk}, ``Canonical matrices of forms and pairs of forms over finite and p-adic fields'', Preprint, arXiv:1011.3142 [math.RT] (2010) Full Text: arXiv OA License
Belitskii, Genrich; Dmytryshyn, Andrii R.; Lipyanski, Ruvim; Sergeichuk, Vladimir V.; Tsurkov, Arkady Problems of classifying associative or Lie algebras over a field of characteristic not two and finite metabelian groups are wild. (English) Zbl 1237.16014 Electron. J. Linear Algebra 18, 516-529 (2009). MSC: 16G60 15A21 16G10 17B30 20D15 PDFBibTeX XMLCite \textit{G. Belitskii} et al., Electron. J. Linear Algebra 18, 516--529 (2009; Zbl 1237.16014) Full Text: DOI EMIS Link
Horn, Roger A.; Sergeichuk, Vladimir V. Canonical forms for unitary congruence and \(^*\)congruence. (English) Zbl 1183.15010 Linear Multilinear Algebra 57, No. 8, 777-815 (2009). Reviewer: Valeriu Prepeliţă (Bucureşti) MSC: 15A21 15B57 PDFBibTeX XMLCite \textit{R. A. Horn} and \textit{V. V. Sergeichuk}, Linear Multilinear Algebra 57, No. 8, 777--815 (2009; Zbl 1183.15010) Full Text: DOI arXiv
Gerasimova, Tatyana G.; Horn, Roger A.; Sergeichuk, Vladimir V. Matrices that are self-congruent only via matrices of determinant one. (English) Zbl 1176.15014 Linear Algebra Appl. 431, No. 9, 1620-1632 (2009). Reviewer: Rabe von Randow (Bonn) MSC: 15A21 15A63 PDFBibTeX XMLCite \textit{T. G. Gerasimova} et al., Linear Algebra Appl. 431, No. 9, 1620--1632 (2009; Zbl 1176.15014) Full Text: DOI arXiv
Bondarenko, Vitalij M.; Gerasimova, Tatiana G.; Sergeichuk, Vladimir V. Pairs of mutually annihilating operators. (English) Zbl 1157.15008 Linear Algebra Appl. 430, No. 1, 86-105 (2009). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15A21 PDFBibTeX XMLCite \textit{V. M. Bondarenko} et al., Linear Algebra Appl. 430, No. 1, 86--105 (2009; Zbl 1157.15008) Full Text: DOI arXiv
Futorny, V.; Horn, R. A.; Sergeichuk, V. V. Classification of squared normal operators on unitary and Euclidean spaces. (English. Russian original) Zbl 1157.15311 J. Math. Sci., New York 155, No. 6, 950-955 (2008); translation from Fundam. Prikl. Mat. 13, No. 4, 225-232 (2007). MSC: 15A21 15B57 PDFBibTeX XMLCite \textit{V. Futorny} et al., J. Math. Sci., New York 155, No. 6, 950--955 (2008; Zbl 1157.15311); translation from Fundam. Prikl. Mat. 13, No. 4, 225--232 (2007) Full Text: DOI arXiv
Futorny, Vyacheslav; Horn, Roger A.; Sergeichuk, Vladimir V. Tridiagonal canonical matrices of bilinear or sesquilinear forms and of pairs of symmetric, skew-symmetric, or Hermitian forms. (English) Zbl 1138.15002 J. Algebra 319, No. 6, 2351-2371 (2008). Reviewer: Erich W. Ellers (Toronto) MSC: 15A21 15A63 PDFBibTeX XMLCite \textit{V. Futorny} et al., J. Algebra 319, No. 6, 2351--2371 (2008; Zbl 1138.15002) Full Text: DOI arXiv
Belitskii, Genrich; Bershadsky, Maxim; Sergeichuk, Vladimir V. Normal form of \(m\)-by-\(n\)-by-2 matrices for equivalence. (English) Zbl 1184.15011 J. Algebra 319, No. 6, 2259-2270 (2008). Reviewer: Alexander Guterman (Moskva) MSC: 15A21 PDFBibTeX XMLCite \textit{G. Belitskii} et al., J. Algebra 319, No. 6, 2259--2270 (2008; Zbl 1184.15011) Full Text: DOI arXiv
Horn, Roger A.; Sergeichuk, Vladimir V. Canonical matrices of bilinear and sesquilinear forms. (English) Zbl 1141.15011 Linear Algebra Appl. 428, No. 1, 193-223 (2008). Reviewer: Qing-Wen Wang (Shanghai) MSC: 15A21 15A63 16E20 PDFBibTeX XMLCite \textit{R. A. Horn} and \textit{V. V. Sergeichuk}, Linear Algebra Appl. 428, No. 1, 193--223 (2008; Zbl 1141.15011) Full Text: DOI arXiv
Sergeichuk, Vladimir V. Canonical matrices of isometric operators on indefinite inner product spaces. (English) Zbl 1141.15012 Linear Algebra Appl. 428, No. 1, 154-192 (2008). Reviewer: Qing-Wen Wang (Shanghai) MSC: 15A21 15B33 16G20 PDFBibTeX XMLCite \textit{V. V. Sergeichuk}, Linear Algebra Appl. 428, No. 1, 154--192 (2008; Zbl 1141.15012) Full Text: DOI arXiv
Sergeichuk, Vladimir V. Linearization method in classification problems of linear algebra. (English) Zbl 1345.15001 São Paulo J. Math. Sci. 1, No. 2, 219-240 (2007). MSC: 15A21 PDFBibTeX XMLCite \textit{V. V. Sergeichuk}, São Paulo J. Math. Sci. 1, No. 2, 219--240 (2007; Zbl 1345.15001) Full Text: DOI Link
Futorny, Vyacheslav; Sergeichuk, Vladimir V. Classification of sesquilinear forms with the first argument on a subspace or a factor space. (English) Zbl 1118.15025 Linear Algebra Appl. 424, No. 1, 282-303 (2007). Reviewer: Erich W. Ellers (Toronto) MSC: 15A63 15A21 PDFBibTeX XMLCite \textit{V. Futorny} and \textit{V. V. Sergeichuk}, Linear Algebra Appl. 424, No. 1, 282--303 (2007; Zbl 1118.15025) Full Text: DOI arXiv
Futorny, Vyacheslav; Sergeichuk, Vladimir V.; Zharko, Nadya Positivity criteria generalizing the leading principal minors criterion. (English) Zbl 1117.15023 Positivity 11, No. 1, 191-199 (2007). Reviewer: A. Arvanitoyeorgos (Rion) MSC: 15B48 15B57 15A18 15A63 PDFBibTeX XMLCite \textit{V. Futorny} et al., Positivity 11, No. 1, 191--199 (2007; Zbl 1117.15023) Full Text: DOI arXiv
Sergeichuk, V. V. Canonical matrices and related questions. (English) Zbl 1199.15001 Pratsi Instytutu Matematyky Natsional’noïAkademiïNauk Ukraïny. Matematyka ta ïïZastosuvannya 57. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 966-02-3900-9). x, 326 p. (2006). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 15-02 16-02 15A21 15B33 16G20 PDFBibTeX XMLCite \textit{V. V. Sergeichuk}, Canonical matrices and related questions. Kyïv: Instytut Matematyky NAN Ukraïny (2006; Zbl 1199.15001)
Belitskii, Genrich R.; Sergeichuk, Vladimir V. Congruence of multilinear forms. (English) Zbl 1126.15032 Linear Algebra Appl. 418, No. 2-3, 751-762 (2006). Reviewer: Silvia Lassalle (Buenos Aires) MSC: 15A69 15A21 PDFBibTeX XMLCite \textit{G. R. Belitskii} and \textit{V. V. Sergeichuk}, Linear Algebra Appl. 418, No. 2--3, 751--762 (2006; Zbl 1126.15032) Full Text: DOI arXiv
Belitskii, Genrich; Bershadsky, Maxim; Sergeichuk, Vladimir V. Canonical form of \(m\)-by-2-by-2 matrices over a field of characteristic other than two. (English) Zbl 1107.15005 Linear Algebra Appl. 418, No. 1, 15-19 (2006). Reviewer: Manouchehr Misaghian (Charlotte) MSC: 15A21 15A72 PDFBibTeX XMLCite \textit{G. Belitskii} et al., Linear Algebra Appl. 418, No. 1, 15--19 (2006; Zbl 1107.15005) Full Text: DOI arXiv
Horn, Roger A.; Sergeichuk, Vladimir V. Canonical forms for complex matrix congruence and \(^{*}\)-congruence. (English) Zbl 1098.15004 Linear Algebra Appl. 416, No. 2-3, 1010-1032 (2006). Reviewer: Erich W. Ellers (Toronto) MSC: 15A21 15A63 11E39 PDFBibTeX XMLCite \textit{R. A. Horn} and \textit{V. V. Sergeichuk}, Linear Algebra Appl. 416, No. 2--3, 1010--1032 (2006; Zbl 1098.15004) Full Text: DOI arXiv
Horn, Roger A.; Sergeichuk, Vladimir V. A regularization algorithm for matrices of bilinear and sesquilinear forms. (English) Zbl 1090.15018 Linear Algebra Appl. 412, No. 2-3, 380-395 (2006). Reviewer: Ralf Gramlich (Darmstadt) MSC: 15A63 15A21 65F30 PDFBibTeX XMLCite \textit{R. A. Horn} and \textit{V. V. Sergeichuk}, Linear Algebra Appl. 412, No. 2--3, 380--395 (2006; Zbl 1090.15018) Full Text: DOI arXiv
Gaiduk, T. N.; Sergeichuk, V. V.; Zharko, N. A. Miniversal deformations of chains of linear mappings. (English) Zbl 1091.15012 Algebra Discrete Math. 2005, No. 1, 47-61 (2005). MSC: 15A21 16G20 PDFBibTeX XMLCite \textit{T. N. Gaiduk} et al., Algebra Discrete Math. 2005, No. 1, 47--61 (2005; Zbl 1091.15012) Full Text: arXiv
Horn, Roger A.; Sergeichuk, Vladimir V.; Shaked-Monderer, Naomi Solution of linear matrix equations in a *congruence class. (English) Zbl 1092.15010 Electron. J. Linear Algebra 13, 153-156 (2005). Reviewer: Vladimir P. Kostov (Nice) MSC: 15A24 15A06 15A21 15B48 PDFBibTeX XMLCite \textit{R. A. Horn} et al., Electron. J. Linear Algebra 13, 153--156 (2005; Zbl 1092.15010) Full Text: DOI EuDML EMIS Link
Belitskii, Genrich; Bondarenko, Vitalij M.; Lipyanski, Ruvim; Plachotnik, Vladimir V.; Sergeichuk, Vladimir V. The problems of classifying pairs of forms and local algebras with zero cube radical are wild. (English) Zbl 1082.16025 Linear Algebra Appl. 402, 135-142 (2005). Reviewer: Teresita Noriega (Habana) MSC: 16G60 11E39 15A21 PDFBibTeX XMLCite \textit{G. Belitskii} et al., Linear Algebra Appl. 402, 135--142 (2005; Zbl 1082.16025) Full Text: DOI arXiv
Horn, Roger A.; Sergeichuk, Vladimir V. Congruences of a square matrix and its transpose. (English) Zbl 1068.15007 Linear Algebra Appl. 389, 347-353 (2004). Reviewer: Hans Havlicek (Wien) MSC: 15A21 PDFBibTeX XMLCite \textit{R. A. Horn} and \textit{V. V. Sergeichuk}, Linear Algebra Appl. 389, 347--353 (2004; Zbl 1068.15007) Full Text: DOI arXiv
Gaiduk, Tat’yana N.; Sergeichuk, Vladimir V. Generic canonical form of pairs of matrices with zeros. (English) Zbl 1055.15016 Linear Algebra Appl. 380, 241-251 (2004). Reviewer: Yueh-er Kuo (Knoxville) MSC: 15A21 05C50 PDFBibTeX XMLCite \textit{T. N. Gaiduk} and \textit{V. V. Sergeichuk}, Linear Algebra Appl. 380, 241--251 (2004; Zbl 1055.15016) Full Text: DOI arXiv
Sergeichuk, Vladimir V. Computation of canonical matrices for chains and cycles of linear mappings. (English) Zbl 1045.65038 Linear Algebra Appl. 376, 235-263 (2004). Reviewer: Prem Narain (Faridabad) MSC: 65F30 15A21 15A22 16G20 PDFBibTeX XMLCite \textit{V. V. Sergeichuk}, Linear Algebra Appl. 376, 235--263 (2004; Zbl 1045.65038) Full Text: DOI arXiv
Brüstle, Thomas; Sergeichuk, Vladimir V. Estimate of the number of one-parameter families of modules over a tame algebra. (English) Zbl 1063.16021 Linear Algebra Appl. 365, 115-133 (2003). MSC: 16G60 15A21 16G10 PDFBibTeX XMLCite \textit{T. Brüstle} and \textit{V. V. Sergeichuk}, Linear Algebra Appl. 365, 115--133 (2003; Zbl 1063.16021) Full Text: DOI arXiv
Belitskii, Genrich R.; Sergeichuk, Vladimir V. Complexity of matrix problems. (English) Zbl 1030.15011 Linear Algebra Appl. 361, 203-222 (2003). Reviewer: Grosio Stanilov (Sofia) MSC: 15A21 15A69 16G20 16G60 PDFBibTeX XMLCite \textit{G. R. Belitskii} and \textit{V. V. Sergeichuk}, Linear Algebra Appl. 361, 203--222 (2003; Zbl 1030.15011) Full Text: DOI arXiv Backlinks: MO MO
García-Planas, M. Isabel; Sergeichuk, Vladimir V. Generic families of matrix pencils and their bifurcation diagrams. (English) Zbl 1049.15006 Linear Algebra Appl. 332-334, 165-179 (2001). MSC: 15A22 58K60 PDFBibTeX XMLCite \textit{M. I. García-Planas} and \textit{V. V. Sergeichuk}, Linear Algebra Appl. 332--334, 165--179 (2001; Zbl 1049.15006) Full Text: DOI arXiv
Sergeichuk, Vladimir V. Canonical matrices for linear matrix problems. (English) Zbl 0967.15007 Linear Algebra Appl. 317, No. 1-3, 53-102 (2000). Reviewer: Václav Burjan (Praha) MSC: 15A21 06A06 16G60 05C50 PDFBibTeX XMLCite \textit{V. V. Sergeichuk}, Linear Algebra Appl. 317, No. 1--3, 53--102 (2000; Zbl 0967.15007) Full Text: DOI arXiv Backlinks: MO
Merino, Dennis I.; Sergeichuk, Vladimir V. Littlewood’s algorithm and quaternion matrices. (English) Zbl 0984.15017 Linear Algebra Appl. 298, No. 1-3, 193-208 (1999). MSC: 15B33 15A21 15A18 PDFBibTeX XMLCite \textit{D. I. Merino} and \textit{V. V. Sergeichuk}, Linear Algebra Appl. 298, No. 1--3, 193--208 (1999; Zbl 0984.15017) Full Text: DOI arXiv
García-Planas, M. Isabel; Sergeichuk, Vladimir V. Simplest miniversal deformations of matrices, matrix pencils, and contragredient matrix pencils. (English) Zbl 0949.15017 Linear Algebra Appl. 302-303, 45-61 (1999). Reviewer: W.Wiȩsław (Wrocław) MSC: 15A22 15A21 PDFBibTeX XMLCite \textit{M. I. García-Planas} and \textit{V. V. Sergeichuk}, Linear Algebra Appl. 302--303, 45--61 (1999; Zbl 0949.15017) Full Text: DOI arXiv
Sergeichuk, Vladimir V. Unitary and Euclidean representations of a quiver. (English) Zbl 0934.15011 Linear Algebra Appl. 278, No. 1-3, 37-62 (1998). MSC: 15A21 65F30 05C20 05C50 PDFBibTeX XMLCite \textit{V. V. Sergeichuk}, Linear Algebra Appl. 278, No. 1--3, 37--62 (1998; Zbl 0934.15011) Full Text: DOI arXiv