Ranks of the common solution to six quaternion matrix equations
type: Item
instance of: scholarly article
title: Ranks of the common solution to six quaternion matrix equations
zbMATH Open document ID: 1304.15006
author: Qing-Wen Wang
author: Yan Zhou
author: Qin Zhang
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 2014-11-27T00:00:00Z
Mathematics Subject Classification ID: 15A03
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15A24
Mathematics Subject Classification ID: 15B33
zbMATH DE Number: 6374516
zbMATH Keywords: system of matrix equations
zbMATH Keywords: quaternion matrix
zbMATH Keywords: minimal rank
zbMATH Keywords: maximal rank
zbMATH Keywords: linear matrix expression
zbMATH Keywords: generalized inverse
MaRDI profile type: Publication
full work available at URL: s10255-011-0083-9
OpenAlex ID: W2047891712
cites work: Q3507018
cites work: Q5308273
cites work: Ranks of solutions of the linear matrix equation \(AX + YB = C\)
cites work: Q4050723
cites work: The matrix equations \(AX=C\), \(XB=D\)
cites work: A pair of simultaneous linear matrix equations \(A_ 1XB_ 1=C_ 1,A_ 2XB_ 2=C_ 2\) and a matrix programming problem
cites work: Ranks of Solutions of the Matrix Equation AXB = C
cites work: The solvability of two linear matrix equations
cites work: The Minimum Rank of a 3 × 3 Partial Block Matrix
cites work: Upper and lower bounds for ranks of matrix expressions using generalized inverses
cites work: Extremal ranks of a quaternion matrix expression subject to consistent systems of quaternion matrix equations with applications
cites work: Extreme ranks of the solution to a consistent system of linear quaternion matrix equations with an application
cites work: Extreme ranks of a linear quaternion matrix expression subject to triple quaternion matrix equations with applications
cites work: Maximal and Minimal Ranks of the Common Solution of Some Linear Matrix Equations over an Arbitrary Division Ring with Applications
cites work: Ranks and the least-norm of the general solution to a system of quaternion matrix equations
cites work: Fiber Cone of Codimension 2 Lattice Ideals
cites work: The general solution to a system of real quaternion matrix equations
cites work: \(P\)-(skew)symmetric common solutions to a pair of quaternion matrix equations
cites work: The common solution to six quaternion matrix equations with applications
cites work: A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity
cites work: Bisymmetric and centrosymmetric solutions to systems of real quaternion matrix equations
cites work: The common solution to matrix equations over a regular ring with applications
cites work: A system of four matrix equations over von Neumann regular rings and its applications
cites work: On the matrix equation \(AX=B\) with applications to the generators of a controllability matrix
DOI: 10.1007/S10255-011-0083-9
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description: scientific article; zbMATH DE number 6374516