Numerical Implementation of Nonlinear Implicit Iterative Method for Solving Ill-posed Problems
Автор: Jianjun Liu, Zhe Wang, Guoqiang He, Chuangang Kang
Журнал: International Journal of Information Technology and Computer Science(IJITCS) @ijitcs
Статья в выпуске: 4 Vol. 3, 2011 года.
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Many nonlinear regularization methods may converge to local minima in numerical implementation for the complexity of nonlinear operator. Under some not very strict assumptions, we implement our proposed nonlinear implicit iterative method and have a global convergence results. Using the convexity property of the modified Tikhonov functional, it combines nonlinear implicit iterative method with a gradient method for solving ill-posed problems. Finally we present two numerical results for integral equation and parameter identification.
Nonlinear, gradient method, regularization, implicit iterative
Короткий адрес: https://sciup.org/15011629
IDR: 15011629
Список литературы Numerical Implementation of Nonlinear Implicit Iterative Method for Solving Ill-posed Problems
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- L. Jianjun, H. Guoqiang and K.Chuangang, “Nonlinear Implicit Iterative Method for Solving Nonlinear Ill-posed Problems,”. Appl. Math. Mech. –Engl. Ed. Shanghai University Press. ShangHai, vol. 9, pp. 1183-1192, April 2009.
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