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Journal of Approximation Theory
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Journal of Approximation Theory
Article . 2002
License: Elsevier Non-Commercial
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Dykstra's Algorithm and a Representation of the Moore–Penrose Inverse

Dykstra's algorithm and a representation of the Moore-Penrose inverse
Authors: Charles W. Groetsch;

Dykstra's Algorithm and a Representation of the Moore–Penrose Inverse

Abstract

The convergence of Lardy's series representation of the Moore-Penrose inverse of a closed unbounded linear operator is proved via Dykstra's alternating projection algorithm.

Related Organizations
Keywords

Hilbert spaces, Mathematics(all), Numerical Analysis, Numerical solutions to overdetermined systems, pseudoinverses, convergence, generalized inverses, Applied Mathematics, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), Moore-Penrose inverse, Dykstra's alternating projection algorithm, unbounded linear operators, Numerical solutions to equations with linear operators, Lardy's series, Theory of matrix inversion and generalized inverses, Analysis

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
hybrid