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LOWER BOUNDS FOR COLUMN MATRIX APPROXIMATIONS
- Authors: Osinsky A.I.1
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Affiliations:
- Institute of Numerical Mathematics, Russian Academy of Sciences
- Issue: Vol 63, No 11 (2023)
- Pages: 1816-1816
- Section: General numerical methods
- URL: https://rjpbr.com/0044-4669/article/view/664944
- DOI: https://doi.org/10.31857/S0044466923110248
- EDN: https://elibrary.ru/CQZGVY
- ID: 664944
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Abstract
We show a connection between lower and upper bounds on the column matrix approximation accuracy and the bounds on the norms of the pseudoinverses of the submatrices of orthogonal matrices. This connection is exploited to derive lower bounds for column approximations accuracy in spectral and Frobenius norms.
About the authors
A. I. Osinsky
Institute of Numerical Mathematics, Russian Academy of Sciences
Author for correspondence.
Email: osinskiy1189@gmail.com
119991, Moscow, Russia
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