A system of four matrix equations over von Neumann regular rings and its applications

DOI10.1007/s10114-004-0493-1zbMath1083.15021OpenAlexW2085340806MaRDI QIDQ2581154

Qing-Wen Wang

Publication date: 9 January 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0493-1

zbMATH Keywords

bisymmetric matrixvon Neumann regular ringcentrosymmetric matrixsystem of matrix equationsperselfconjugate matrix

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) Hermitian, skew-Hermitian, and related matrices (15B57) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

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Cites Work

• Consistency for bi(skew)symmetric solutions to systems of generalized Sylvester equations over a finite central algebra
• On the symmetric solutions of linear matrix equations
• On the symmetric solutions of a linear matrix equation
• On the reducibility of centrosymmetric matices - applications in engineering problems
• Matrices with multiple symmetry properties: applications of centro-Hermitian and per-Hermitian matrices
• Centrohermitian and skew-centrohermitian matrices
• Vector structures and solutions of linear matrix equations
• Eigenvalues and eigenvectors of symmetric centrosymmetric matrices
• Symmetric solutions of linear matrix equations by matrix decompositions
• Symmetric centrosymmetric matrix-vector multiplication
• A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity
• Roth's theorems for constant centroselfconjugate and centroskewselfconjugate solutions to systems of linear polynomial matrix equations over a finite dimensional central algebra
• A Spectral Characterization of Generalized Real Symmetric Centrosymmetric and Generalized Real Symmetric Skew-Centrosymmetric Matrices
• On Centrohermitian Matrices
• On Perhermitian Matrices
• Centrosymmetric (Cross-Symmetric) Matrices, Their Basic Properties, Eigenvalues, and Eigenvectors
• The Elimination Matrix: Some Lemmas and Applications
• Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations
• Classroom Note:Centrosymmetric Matrices
• Classroom Note: Some Eigenvalue Properties of Persymmetric Matrices
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