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On the existence of unimodular matrices with a prescribed submatrix

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Publication:501287
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DOI10.1016/j.laa.2016.11.015zbMath1352.15033OpenAlexW2552492051MaRDI QIDQ501287

M. Graça Duffner, Fernando Conceição Silva

Publication date: 29 December 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2016.11.015


zbMATH Keywords

ringmatrix completionmatrixunimodular


Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix completion problems (15A83)




Cites Work

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  • On the interlacing inequalities for invariant factors
  • Bass's first stable range condition
  • Completion of a partial integral matrix to a unimodular matrix
  • Completing a matrix when certain entries of its inverse are specified
  • Interlacing inequalities for invariant factors
  • Imbedding conditions for \(\lambda\)-matrices
  • Stable rank of rings and dimensionality of topological spaces
  • \(K\)-theory and stable algebra
  • The Kaplansky condition and rings of almost stable range 1
  • Rings of Continuous Functions in Which Every Finitely Generated Ideal is Principal
  • Matrix Completion Theorems
  • A CRASH COURSE ON STABLE RANGE, CANCELLATION, SUBSTITUTION AND EXCHANGE
  • Elementary Divisors and Modules
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