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Physical Sciences and Engineering Mathematics Analysis

A new characterization of the generalized inverse using projections on level sets

Article ID Journal Published Year Pages File Type
8953105 Journal of Approximation Theory 2018 28 Pages PDF
Abstract
We give a new characterization of the Moore-Penrose generalized inverse using projections on level sets. Our results may be used to obtain explicit approximations to metric projections on level sets. We illustrate our results in the setting of frames and annihilating subspaces.
Keywords
46C0741A25Moore–Penrose generalized inverse46N1047B1541A6546C0546B5052A2741A9952A0746C99Hilbert spaces
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
A new characterization of the generalized inverse using projections on level sets
Authors
Ariel L. Babierra, Noli N. Reyes,
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Journal
Journal of Approximation Theory
Journal: Journal of Approximation Theory
Related Categories
46C07
41A25
Moore–Penrose generalized inverse
46N10
47B15
41A65
46C05
46B50
52A27
41A99
52A07
46C99
Hilbert spaces
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