Improved Bounds for Restricted Isometry Constants

The purpose of this paper is to establish improved bounds for restricted isometry constants δk. Our results, to some extent, improve and extend the well-known bound (δk<0.307) in (Cai et al., 2010) to δk<0.308.

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Main Authors: Jiabing Ji, Jigen Peng
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2012/841261
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author Jiabing Ji
Jigen Peng
author_facet Jiabing Ji
Jigen Peng
author_sort Jiabing Ji
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description The purpose of this paper is to establish improved bounds for restricted isometry constants δk. Our results, to some extent, improve and extend the well-known bound (δk<0.307) in (Cai et al., 2010) to δk<0.308.
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series Discrete Dynamics in Nature and Society
spelling doaj-art-6d7597fac3ac4cfb8eeb393291f22aec2025-08-20T02:06:12ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/841261841261Improved Bounds for Restricted Isometry ConstantsJiabing Ji0Jigen Peng1School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, ChinaSchool of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, ChinaThe purpose of this paper is to establish improved bounds for restricted isometry constants δk. Our results, to some extent, improve and extend the well-known bound (δk<0.307) in (Cai et al., 2010) to δk<0.308.http://dx.doi.org/10.1155/2012/841261
spellingShingle Jiabing Ji
Jigen Peng
Improved Bounds for Restricted Isometry Constants
Discrete Dynamics in Nature and Society
title Improved Bounds for Restricted Isometry Constants
title_full Improved Bounds for Restricted Isometry Constants
title_fullStr Improved Bounds for Restricted Isometry Constants
title_full_unstemmed Improved Bounds for Restricted Isometry Constants
title_short Improved Bounds for Restricted Isometry Constants
title_sort improved bounds for restricted isometry constants
url http://dx.doi.org/10.1155/2012/841261
work_keys_str_mv AT jiabingji improvedboundsforrestrictedisometryconstants
AT jigenpeng improvedboundsforrestrictedisometryconstants