Representations for Moore-Penrose inverses in Hilbert spaces

DOI10.1016/S0893-9659(00)00200-7zbMath0982.47003MaRDI QIDQ5938965

Yi-Min Wei, Jiu Ding

Publication date: 7 August 2001

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

perturbationrangeMoore-Penrose inversenull space

Mathematics Subject Classification ID

General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (23)

Regular factorizations and perturbation analysis for the core inverse of linear operators in Hilbert spaces ⋮ Perturbation analysis of Moore-Penrose quasi-linear projection generalized inverse of closed linear operators in Banach spaces ⋮ Some topics on weighted Moore-Penrose inverse, weighted least squares and weighted regularized Tikhonov problems ⋮ The metric generalized inverse and its single-value selection in the pricing of contingent claims in an incomplete financial market ⋮ On the semi-continuity of generalized inverses in Banach algebras ⋮ Hotelling's \(T^2\) in separable Hilbert spaces ⋮ Characterizations, iterative method, sign pattern and perturbation analysis for the DMP inverse with its applications ⋮ The perturbation of the Moore-Penrose inverse of quaternion tensor via the QT-product ⋮ On level-2 condition number for the weighted Moore-Penrose inverse ⋮ Geometry structures of the generalized inverses of block two-by-two matrices ⋮ Characterizations of the commutators and the anticommutator involving idempotents ⋮ On perturbations for oblique projection generalized inverses of closed linear operators in Banach spaces ⋮ Perturbations and expressions for generalized inverses in Banach spaces and Moore-Penrose inverses in Hilbert spaces of closed linear operators ⋮ Condition numbers and perturbation of the weighted Moore--Penrose inverse and weighted linear least squares problem. ⋮ Some new perturbation results for generalized inverses of closed linear operators in Banach spaces ⋮ On disjoint range operators in a Hilbert space ⋮ Expression for the multiplicative perturbation of the Moore–Penrose inverse ⋮ An improved Newton iteration for the weighted Moore-Penrose inverse ⋮ Representations of the Moore–Penrose inverse for a class of 2-by-2 block operator valued partial matrices ⋮ A note on the perturbation of an outer inverse ⋮ Convergence of Rump’s method for computing the Moore-Penrose inverse ⋮ The representation and approximation for the weighted Moore-Penrose inverse in Hilbert space. ⋮ Characterizations and representations for the CMP inverse and its application

Cites Work

• On the perturbation of the least squares solutions in Hilbert spaces
• Perturbation analysis of the least squares solution in Hilbert spaces
• On Error Bounds for Generalized Inverses
• On the Continuity of the Generalized Inverse
• Perturbation theory for pseudo-inverses
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