Cart (Loading....) | Create Account
Close category search window
 

A counterexample for two conjectures about stability

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
$31 $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

1 Author(s)
Demmel, J.W. ; Courant Institute of Mathematics, New York, NY, USA

One measure of the stability of a matrixAis the distance to the nearest unstable matrixB. Recently Van Loan presented an algorithm to computeBwhich depended on a conjecture about the location of its eigenvalues. We provide a counterexample to this conjecture which shows that the algorithm may overestimate the distance toBby an arbitrary amount. The same counterexample invalidates another conjecture and algorithm of the author.

Published in:

Automatic Control, IEEE Transactions on  (Volume:32 ,  Issue: 4 )

Date of Publication:

Apr 1987

Need Help?


IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.