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.; 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
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
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; 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
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