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Zapiski Nauchnykh Seminarov LOMI, 1984, Volume 139, Pages 61–73 (Mi znsl1737)  
Some structural properties of inverse matrices

L. Yu. Kolotilina
Full-text PDF (1107 kB)
Abstract: The connection of some structural properties of inverse matrices such as the presence of an invertible submatrix or of a rectangular submatrix of incomplete rank is investigated. Explicit relations are obtained between the ranks of dual submatrices. The results are applied to describe the inverse to generalized Hessenberg and band matrices.
English version:
Journal of Soviet Mathematics, 1987, Volume 36, Issue 2, Pages 215–224
DOI: https://doi.org/10.1007/BF01091802
Bibliographic databases:
UDC: 512.643
Language: Russian
Citation: L. Yu. Kolotilina, “Some structural properties of inverse matrices”, Computational methods and algorithms. Part VII, Zap. Nauchn. Sem. LOMI, 139, "Nauka", Leningrad. Otdel., Leningrad, 1984, 61–73; J. Soviet Math., 36:2 (1987), 215–224
Citation in format AMSBIB
\Bibitem{Kol84}
\by L.~Yu.~Kolotilina
\paper Some structural properties of inverse matrices
\inbook Computational methods and algorithms. Part~VII
\serial Zap. Nauchn. Sem. LOMI
\yr 1984
\vol 139
\pages 61--73
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl1737}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=756646}
\zmath{https://zbmath.org/?q=an:0611.65014|0565.65009}
\transl
\jour J. Soviet Math.
\yr 1987
\vol 36
\issue 2
\pages 215--224
\crossref{https://doi.org/10.1007/BF01091802}
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  • https://www.mathnet.ru/eng/znsl/v139/p61
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