Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Remote Access
Green Open Access
Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Error analysis of some techniques for updating orthogonal decompositions


Author: C. C. Paige
Journal: Math. Comp. 34 (1980), 465-471
MSC: Primary 65F30
MathSciNet review: 559196
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We consider accurate and efficient methods for updating the result of the transformation $ C = BQ$, Q orthogonal, of a given matrix B when Q is available. Adding or deleting a row, or adding a column of B leads to a continuation of the original transformation, and as such is numerically stable. In particular, we discuss a well-known method for updating when a column of B is deleted, and show that it is as numerically stable as the problem allows. The results extend to two-sided transformations of the form $ C = {Z^T}BQ$. The methods and analyses are independent of the form or rank of B and C, and so are widely applicable.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 65F30

Retrieve articles in all journals with MSC: 65F30


Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1980-0559196-9
PII: S 0025-5718(1980)0559196-9
Keywords: Error analysis, updating techniques, orthogonal decompositions, orthogonal matrices
Article copyright: © Copyright 1980 American Mathematical Society



Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia