On a particular case of the inconsistent linear matrix equation \(AX+YB=C\)

DOI10.1016/0024-3795(85)90136-3zbMath0573.15008OpenAlexW2149289587MaRDI QIDQ1063090

Krystyna Ziętak

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0024-3795(85)90136-3

zbMATH Keywords

overdetermined systemminimal norm solutionleast-squares solutioninconsistent linear matrix equation

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Matrix equations and identities (15A24) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Linear equations (linear algebraic aspects) (15A06)

Related Items (5)

Properties of the approximate generalized inverses of a class of matrices ⋮ Properties of the strict Chebyshev solutions of the linear matrix equation \(AX+YB=C\) ⋮ A computational framework of gradient flows for general linear matrix equations ⋮ The generalized inverse of a sum with radical element: Applications ⋮ Observability of a Specially Structured Model

Cites Work

• An overdetermined linear system
• The matrix equation \(AX-YB=C\)
• Solutions of overdetermined linear equations which minimize error in an abstract norm
• Approximations in $L^p $ and Chebyshev Approximations
• Chebyshev and $l^1 $-Solutions of Linear Equations Using Least Squares Solutions
• Unnamed Item
• Unnamed Item

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