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Relations between matrix sets generated from linear matrix expressions and their applications

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Publication:552333
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DOI10.1016/j.camwa.2010.12.068zbMath1217.15021OpenAlexW2029579738MaRDI QIDQ552333

Yongge Tian

Publication date: 21 July 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.12.068


zbMATH Keywords

general solutionMoore-Penrose inversematrix equationset inclusionlinear matrix expressionset equality


Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24)


Related Items

Necessary and sufficient conditions for nonlinear matrix identities to always hold



Cites Work

  • Unnamed Item
  • On additive decompositions of solutions of the matrix equation \(AXB=C\)
  • The minimal rank of the matrix expression \(A-BX-YC\)
  • The maximal and minimal ranks of \(A - BXC\) with applications
  • The maximal and minimal ranks of some expressions of generalized inverses of matrices
  • Upper and lower bounds for ranks of matrix expressions using generalized inverses
  • Generalized inversion and weak bi-complementarity∗
  • The Restricted Singular Value Decomposition: Properties and Applications
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