Structures and uniqueness conditions of \(MK\)-weighted pseudoinverses

DOI10.1007/BF01935652zbMath0811.15003OpenAlexW2001808243MaRDI QIDQ1338517

Birong Zhang, Musheng Wei

Publication date: 7 May 1995

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01935652

zbMATH Keywords

uniquenessstructuresconstrained least squaresMoore- Penrose conditionsweighted pseudoinverses

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09)

Related Items (6)

Computing Time-Varying ML-Weighted Pseudoinverse by the Zhang Neural Networks ⋮ Perturbation Analysis for Oblique Projection Generalized Inverses ⋮ Acute perturbation bounds of weighted Moore–Penrose inverse ⋮ Perturbation for a pair of oblique projectors \(AA_{MN}^\dagger \) and \(BB_{MN}^\dagger\) ⋮ A characterization and representation of the generalized inverse \(A_{T,S}^{(2)}\) and its applications ⋮ Condition numbers for the K-weighted pseudoinverse and their statistical estimation

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• Perturbation Theory for the Least Squares Problem with Linear Equality Constraints
• Towards a Generalized Singular Value Decomposition
• Perturbation Theory for the Rank-Deficient Equality Constrained Least Squares Problem
• Modifying the QR-Decomposition to Constrained and Weighted Linear Least Squares
• Generalizing the Singular Value Decomposition

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