Ren-Cang Li  Home/Search
Context Related
| irisa.fr/pub/mirrors/netlib...lawn84.ps Cached: PS.gz PS PDF This document uses CoBlitz to cache paper downloads. If your firewall is blocking outgoing connections to port 3125, you can use these links to download local copies.
Image Update HelpPS.gz PS PDF From: fermivista.math.ju...ftp.irisa.fr (more) (Enter author homepages) |
Rate this article:      (best)Comment on this article |
Abstract: The classical perturbation theory for matrix eigenvalue and singular value problems provides bounds on the absolute differences between approximate eigenvalues (singular values) and the true eigenvalues (singular values) of a matrix. These bounds may be bad news for small eigenvalues (singular values), which thereby suffer worse relative uncertainty than large ones. However, there are situations where even small eigenvalues are determined to high relative accuracy by the data, much more... (Update)
Similar documents based on text: More All
0.1: CRPC Research into Linear Algebra Software for.. - Choi, Dongarra.. (1994) (Correct)
0.1: Survey of Parallel Numerical Libraries - Demmel (Correct)
0.1: Scalability Issues Affecting The Design Of A Dense Linear .. - Dongarra, Geijn, Walker (1994) (Correct)
Related documents from co-citation: More All
4: Fernando's solution to Wilkinson's problem: an application of double factorizati.. - Parlett, Dhillon - 1997
4: Accurate singular values of bidiagonal matrices - Demmel, Kahan - 1990
4: The Symmetric Eigenvalue Problem (context) - Parlett - 1980
BibTeX entry: (Update)
Ren-Cang Li, `Relative perturbation theory: (I) Eigenvalue and singular value variations'. SIAM J. Matrix Anal. Appl. vol. 19 (1998), pp. 956{ 982. http://citeseer.ist.psu.edu/article/li96relative.html More
@misc{ li98relative,
author = "R. Li",
title = "Relative perturbation theory: (I) Eigenvalue and singular value variations",
text = "Ren-Cang Li, `Relative perturbation theory: (I) Eigenvalue and singular
value variations'. SIAM J. Matrix Anal. Appl. vol. 19 (1998), pp. 956{ 982.",
year = "1998",
url = "citeseer.ist.psu.edu/article/li96relative.html" }
Citations (may not include all citations):78 Computing accurate eigensystems of scaled diagonally dominan.. - Barlow, Demmel - 1990
18 Norms and exclusion theorems (context) - Bauer, Fike - 1960
15 Perturbation Bounds for Matrix Eigenvalues (context) - Bhatia - 1987
Documents on the same site (http://fermivista.math.jussieu.fr/ftp/ftp.irisa.fr.html): More
Table 51: Topology error tests - Test Path (Correct)
Solving the Consensus Problem in a Mobile Environment - Badache, Hurfin, Macedo (1997) (Correct)
A New Method For The Generation Of Strong Prime Numbers - Saouter (1995) (Correct)
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC