On minimal solutions of the matrix equation \(AX-YB=0\)

DOI10.1016/S0024-3795(00)00294-9zbMath0979.15006MaRDI QIDQ5932190

Mirko Dobovišek

Publication date: 19 February 2002

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

minimal nonnegative solutionsmatrix equations

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Related Items (2)

Least-squares symmetric and skew-symmetric solutions of the generalized Sylvester matrix equation \(\sum_{i = 1}^s A_i X B_i + \sum_{j = 1}^t C_j Y D_j = E\) ⋮ Symmetric \(\Gamma \)-submanifolds of positive definite matrices and the Sylvester equation \(XM=NX\)

Cites Work

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• On the symmetric solutions of a linear matrix equation
• Symmetric, positive semidefinite, and positive definite real solutions of \(AX=XA^ T\) and \(AX=YB\)
• Symmetric solutions of linear matrix equations by matrix decompositions
• L-structured matrices and linear matrix equations^∗
• Inverse Problem of Linear Optimal Control

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