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
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;
Conference_Titel :
Information Engineering and Computer Science (ICIECS), 2010 2nd International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-7939-9
Electronic_ISBN :
2156-7379
DOI :
10.1109/ICIECS.2010.5678339
