A new characterization of the generalized inverse using projections on level sets
Abstract
© 2018 Elsevier Inc. 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.
Source or Periodical Title
Journal of Approximation Theory
ISSN
219045
Page
23-35
Document Type
Article
Subject
Approximation of metric projections on level sets, Hilbert spaces, Inversion of frame operator, Inversion of positive self-adjoint operators, Moore–Penrose generalized inverse, Strongly annihilating subspaces
Recommended Citation
Babierra, Ariel L. and Reyes, Noli N., "A new characterization of the generalized inverse using projections on level sets" (2021). Journal Article. 955.
https://www.ukdr.uplb.edu.ph/journal-articles/955