DocumentCode
1900884
Title
IIGRA-An Implicit Iterative Algorithm for Regularizing Nonlinear Ill-Posed Problems
Author
Liu, Jianjun ; Miao, Qing ; Xu, Bo ; Wang, Zhe ; He, Guoqiang
Author_Institution
PetroChina Pipeline R&D Center, Langfang, China
fYear
2010
fDate
25-26 Dec. 2010
Firstpage
1
Lastpage
4
Abstract
We report on a new iterative method for regularizing a nonlinear operator equation in Hilbert spaces. The proposed IIGRA algorithm is combination of nonlinear implicit iterative method and a gradient method for minimizing a modified Tikhonov functional. Under some not very strict assumptions, we will give a convergence result. Finally we present two numerical results for integral equation and parameter identification.
Keywords
Hilbert spaces; convergence of numerical methods; gradient methods; integral equations; nonlinear equations; Hilbert spaces; IIGRA algorithm; Tikhonov functional; gradient method; integral equation; iterative algorithm; nonlinear Ill-posed problems; nonlinear implicit iterative method; nonlinear operator equation; parameter identification; Cities and towns; Convergence; Equations; Inverse problems; Iterative methods; Mathematical model; Parameter estimation;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Engineering and Computer Science (ICIECS), 2010 2nd International Conference on
Conference_Location
Wuhan
ISSN
2156-7379
Print_ISBN
978-1-4244-7939-9
Electronic_ISBN
2156-7379
Type
conf
DOI
10.1109/ICIECS.2010.5678339
Filename
5678339
Link To Document