Properties of the approximate generalized inverses of a class of matrices

DOI10.1016/0024-3795(87)90263-1zbMath0621.15004OpenAlexW2132201096MaRDI QIDQ1090378

Krystyna Ziętak

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90263-1

zbMATH Keywords

generalized inverseQR factorization

Mathematics Subject Classification ID

Factorization of matrices (15A23) Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (2)

Generalized inverses with respect to general norms. III ⋮ Generalized inverses with respect to general norms

Cites Work

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• The Chebyshev solution of the linear matrix equation \(AX+YB=C\)
• Multiplicativity of \(l_ p \)norms for matrices
• The \(\ell_p\)-solution of the linear matrix equation \(AX+YB=C\)
• On a particular case of the inconsistent linear matrix equation \(AX+YB=C\)
• Generalized inverses on normed vector spaces
• The matrix equation \(AX-YB=C\)
• Least-squares algorithms for finding solutions of overdetermined systems of linear equations which minimize error in a smooth strictly convex norm
• Solutions of overdetermined linear equations which minimize error in an abstract norm
• Properties of the ℓ₁-solutions of the Linear Matrix Equation AX+YB=C

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