Nonlinear Implicit Iterative Method for Solving Nonlinear Ill-Posed Problems

LIU Jian-jun; HE Guo-qiang; KANG Chuan-gang

doi:10.3879/j.issn.1000-0887.2009.09.013

Volume 30 Issue 9

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Article Navigation > Applied Mathematics and Mechanics > 2009 > 30(9): 1107-1116

LIU Jian-jun, HE Guo-qiang, KANG Chuan-gang. Nonlinear Implicit Iterative Method for Solving Nonlinear Ill-Posed Problems[J]. Applied Mathematics and Mechanics, 2009, 30(9): 1107-1116. doi: 10.3879/j.issn.1000-0887.2009.09.013

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Nonlinear Implicit Iterative Method for Solving Nonlinear Ill-Posed Problems

doi: 10.3879/j.issn.1000-0887.2009.09.013

1.
Department of Mathematics, Shanghai University, Shanghai 200436, P. R. China;

Received Date: 2008-07-28
Rev Recd Date: 2009-07-02
Publish Date: 2009-09-15

Abstract

Abstract

The implicit iterative method was extended for linear ill-posed operator equations to solve nonlinear ill-posed problems.It shows that under some conditions the error sequence of solutions of the nonlinear implicit iterative method is monotonically decreasing.And with this monotonicity,the convergence of the new method for both of the exact and perturbed equations was proved.
- nonlinear il-l posed problem,
- nonlinear implicit iterative method,
- monotonicity,
- convergence

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References(9)

References

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