Extremal ranks of the solution to a system of real quaternion matrix equations

DOI10.1007/s11741-007-0307-3zbMath1140.15311OpenAlexW2059060702MaRDI QIDQ5436226

Qing-Wen Wang, Shao-Wen Yu

Publication date: 14 January 2008

Published in: Journal of Shanghai University (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11741-007-0307-3

zbMATH Keywords

generalized inversequaternion algebraminimal rankmaximal ranksystem of matrix equations

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) Vector spaces, linear dependence, rank, lineability (15A03)

Cites Work

• Unnamed Item
• Unnamed Item
• The matrix equations \(AX=C\), \(XB=D\)
• A pair of simultaneous linear matrix equations \(A_ 1XB_ 1=C_ 1,A_ 2XB_ 2=C_ 2\) and a matrix programming problem
• On the matrix equation \(AX=B\) with applications to the generators of a controllability matrix
• The maximal and minimal ranks of \(A - BXC\) with applications
• Completing triangular block matrices with maximal and minimal ranks
• 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
• More on maximal and minimal ranks of Schur complements with applications
• A system of four matrix equations over von Neumann regular rings and its applications
• Ranks of Solutions of the Matrix Equation AXB = C

This page was built for publication: Extremal ranks of the solution to a system of real quaternion matrix equations