Ranks of Submatrices in a Solution to a Consistent System of Linear Quaternion Matrix Equations with Applications

DOI10.1142/S1005386714000340zbMath1302.15003MaRDI QIDQ3191843

Chun-Yan Lin

Publication date: 25 September 2014

Published in: Algebra Colloquium (Search for Journal in Brave)

zbMATH Keywords

generalized inversematrix equationsminimal rankmaximal rank

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24) Vector spaces, linear dependence, rank, lineability (15A03)

Cites Work

• Some properties of submatrices in a solution to the matrix equation \(AXB=C\) with applications
• Common Hermitian solutions to some operator equations on Hilbert \(C^{*}\)-modules
• Some properties of submatrices in a solution to the matrix equations \(AX=C, XB=D\)
• A system of real quaternion matrix equations with applications
• Upper and lower bounds for ranks of matrix expressions using generalized inverses
• The common solution to six quaternion matrix equations with applications
• The general solution to a system of real quaternion matrix equations

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