On the Convergence Analysis of the Fast Linearized Bregman Iterative Algorithm. Issue 1 (March 2014)
- Record Type:
- Journal Article
- Title:
- On the Convergence Analysis of the Fast Linearized Bregman Iterative Algorithm. Issue 1 (March 2014)
- Main Title:
- On the Convergence Analysis of the Fast Linearized Bregman Iterative Algorithm
- Authors:
- Liu, Huiyan
Zhang, Hui
Zhu, Jubo - Abstract:
- The linearized Bregman iterative (LBI) algorithm is an efficient method of dealing with the famous basis pursuit problem. In this paper, we study the convergence of the fast linearized Bregman iterative (F-LBI) algorithm. First of all, on the basis of the theory analysis of F-LBI by Osher et al, we conclude that the sequence by the F-LBI is not definite of the subsequence of the LBI. Then we take the error into account and derive a strict convergence result by comparison analysis between the LBI and F-LBI.
- Is Part Of:
- Journal of algorithms & computational technology. Volume 8:Issue 1(2014)
- Journal:
- Journal of algorithms & computational technology
- Issue:
- Volume 8:Issue 1(2014)
- Issue Display:
- Volume 8, Issue 1 (2014)
- Year:
- 2014
- Volume:
- 8
- Issue:
- 1
- Issue Sort Value:
- 2014-0008-0001-0000
- Page Start:
- 105
- Page End:
- 112
- Publication Date:
- 2014-03
- Subjects:
- component -- Linearized Bregman iteration -- Fast linearized Bregman iteration -- Convergence analysis -- basis pursuit problem
Computer algorithms -- Periodicals
Numerical calculations -- Periodicals
Computer algorithms
Numerical calculations
Periodicals
518.1 - Journal URLs:
- http://act.sagepub.com/ ↗
http://www.ingentaconnect.com/content/mscp/jact ↗
http://www.multi-science.co.uk/ ↗ - DOI:
- 10.1260/1748-3018.8.1.105 ↗
- Languages:
- English
- ISSNs:
- 1748-3018
- Deposit Type:
- Legaldeposit
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