Convergence analysis of a two-point gradient method for nonlinear ill-posed problems. (1st August 2017)
- Record Type:
- Journal Article
- Title:
- Convergence analysis of a two-point gradient method for nonlinear ill-posed problems. (1st August 2017)
- Main Title:
- Convergence analysis of a two-point gradient method for nonlinear ill-posed problems
- Authors:
- Hubmer, Simon
Ramlau, Ronny - Abstract:
- Abstract: We perform a convergence analysis of a two-point gradient method which is based on Landweber iteration and on Nesterov's acceleration scheme. Additionally, we show the usefulness of this method via two numerical example problems based on a nonlinear Hammerstein operator and on the nonlinear inverse problem of single photon emission computed tomography.
- Is Part Of:
- Inverse problems. Volume 33:Number 9(2017:Sep.)
- Journal:
- Inverse problems
- Issue:
- Volume 33:Number 9(2017:Sep.)
- Issue Display:
- Volume 33, Issue 9 (2017)
- Year:
- 2017
- Volume:
- 33
- Issue:
- 9
- Issue Sort Value:
- 2017-0033-0009-0000
- Page Start:
- Page End:
- Publication Date:
- 2017-08-01
- Subjects:
- two-point gradient method -- Nesterov acceleration scheme -- Landweber iteration -- steepest descent -- minimal error -- regularization method -- SPECT
Inverse problems (Differential equations) -- Periodicals
515.357 - Journal URLs:
- http://iopscience.iop.org/0266-5611 ↗
http://ioppublishing.org/ ↗ - DOI:
- 10.1088/1361-6420/aa7ac7 ↗
- Languages:
- English
- ISSNs:
- 0266-5611
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - BLDSS-3PM
British Library STI - ELD Digital store - Ingest File:
- 11268.xml