The Common Solution of Some Matrix Equations

DOI10.1142/S1005386716000092zbMath1348.15012MaRDI QIDQ2796964

Qing-Wen Wang, Li Wang, Zhuo-Heng He

Publication date: 30 March 2016

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

zbMATH Keywords

generalized inverseminimal rankmaximal ranksystem of matrix equations

Mathematics Subject Classification ID

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

Related Items (9)

Determinantal representations of solutions to systems of quaternion matrix equations ⋮ The least-squares solution with the least norm to a system of tensor equations over the quaternion algebra ⋮ Solvability of the matrix inequality ⋮ A constraint system of generalized Sylvester quaternion matrix equations ⋮ Factorization of Generalized Theta Functions Revisited ⋮ A System of Periodic Discrete-time Coupled Sylvester Quaternion Matrix Equations ⋮ Cramer's rules for Sylvester quaternion matrix equation and its special cases ⋮ Computing symmetric solutions of general Sylvester matrix equations via Lanczos version of biconjugate residual algorithm ⋮ A System of Matrix Equations over the Quaternion Algebra with Applications

Cites Work

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• A system of real quaternion matrix equations with applications
• Roth's theorems for sets of matrices
• On the matrix equation \(AX=B\) with applications to the generators of a controllability matrix
• Roth's removal rule revisited
• The solvability of two linear matrix equations
• Some matrix equations with applications†
• A new solvable condition for a pair of generalized Sylvester equations
• Inertia and Rank Characterizations of Some Matrix Expressions
• Maximal and Minimal Ranks of the Common Solution of Some Linear Matrix Equations over an Arbitrary Division Ring with Applications
• Consistency of a pair of generalized Sylvester equations
• A real quaternion matrix equation with applications

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