ILL-POSED

作品数：61被引量：91H指数：5
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相关机构：中国海洋大学更多>>
相关期刊：《Journal of Applied Mathematics and Physics》《模糊系统与数学》《Numerical Mathematics(Theory,Methods and Applications)》《Analysis in Theory and Applications》更多>>
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LAVRENTIEV'S REGULARIZATION METHOD FOR NONLINEAR ILL-POSED EQUATIONS IN BANACH SPACES
《Acta Mathematica Scientia》2018年第1期303-314,共12页Santhosh GEORGE C.D.SREEDEEP 
National Institute of Technology Karnataka, India, for the financial support
In this paper, we deal with nonlinear ill-posed problems involving m-accretive mappings in Banach spaces. We consider a derivative and inverse free method for the imple- mentation of Lavrentiev regularization method. ...
关键词：nonlinear ill-posed problem Banach space Lavrentiev regularization m-accretive mappings adaptive parameter choice strategy 
ITERATIVE REGULARIZATION METHODS FOR NONLINEAR ILL-POSED OPERATOR EQUATIONS WITH M-ACCRETIVE MAPPINGS IN BANACH SPACES被引量：2
《Acta Mathematica Scientia》2015年第6期1318-1324,共7页Ioannis K.ARGYROS Santhosh GEORGE 
In this paper, a modified Newton type iterative method is considered for ap- proximately solving ill-posed nonlinear operator equations involving m-accretive mappings in Banach space. Convergence rate of the method is...
关键词：nonlinear ill-posed equations iterative regularization m-accretive operator Newton type method 
CONVERGENCE ANALYSIS OF THE LOPING OS-EM ITERATIVE VERSION OF THE CIRCULAR RADON TRANSFORM被引量：2
《Acta Mathematica Scientia》2014年第6期1875-1884,共10页郭娟 王金平 
supported by the National Natural Science Foundation of China(61271398);K.C.Wong Magna Fund in Ningbo University;Natural Science Foundation of Ningbo City(2010A610102)
The loping OS-EM iteration is a numerically efficient regularization method for solving ill-posed problems. In this article we investigate the loping OS-EM iterative method in connection with the circular Radon transf...
关键词：ill-posed equations regularization loping OS-EM iteration circular Radon transform 
WEAK REGULARIZATION FOR A CLASS OF ILL-POSED CAUCHY PROBLEMS
《Acta Mathematica Scientia》2006年第3期483-490,共8页黄永忠 郑权 
This project was supported by TRAPOYT, the Key Project of Chinese Ministry of Education(104126) the NNSF of China(10371046)
This article is concerned with the ill-posed Cauchy problem associated with a densely defined linear operator A in a Banach space. A family of weak regularizing operators is introduced. If the spectrum of A is contain...
关键词：Ill-posed Cauchy problem QUASI-REVERSIBILITY family of weakly regularizing operators fractional power regularized semigroup 
IMPLICIT ITERATIVE METHODS WITH VARIABLE CONTROL PARAMETERS FOR ILL-POSED OPERATOR EQUATIONS被引量：2
《Acta Mathematica Scientia》2000年第4期485-494,共10页贺国强 王新革 刘林先 
This work was supported by the National Natural Science Foundation of China
This paper discusses a kind of implicit iterative methods with some variable parameters, which are called control parameters, for solving ill-posed operator equations. The theoretical results show that the new methods...
关键词：III-posed problems implicit iterative methods variable control parameters parallel algorith? 
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