By Topic

Certifying the Restricted Isometry Property is Hard

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$33 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

4 Author(s)
Bandeira, A.S. ; Program in Appl. & Comput. Math., Princeton Univ., Princeton, NJ, USA ; Dobriban, E. ; Mixon, D.G. ; Sawin, W.F.

This paper is concerned with an important matrix condition in compressed sensing known as the restricted isometry property (RIP). We demonstrate that testing whether a matrix satisfies RIP is NP-hard. As a consequence of our result, it is impossible to efficiently test for RIP provided PNP.

Published in:

Information Theory, IEEE Transactions on  (Volume:59 ,  Issue: 6 )