A constructive proof by elementary transformations of Roth's removal theorems in the theory of matrix equations

DOI10.1080/002073900287183zbMath1025.15023OpenAlexW2051684327MaRDI QIDQ3150382

A. J. Ward, F. Gerrish

Publication date: 17 October 2002

Published in: International Journal of Mathematical Education in Science and Technology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/002073900287183

zbMATH Keywords

constructive proofslinear matrix equationsrow reductionelementary transformationscolumn-reduction

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Related Items (2)

About the uniqueness solution of the matrix polynomial equation \(A(\lambda)X(\lambda)-Y(\lambda)B(\lambda)=C(\lambda)\) ⋮ Analyticity results for the cumulants in a random matrix model

Cites Work

• On the matrix equations $AX - XB = C$ and $AX - YB = C$
• A novel proof of Roth's removal rule

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