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
Citation: 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

Nonlinear Implicit Iterative Method for Solving Nonlinear Ill-Posed Problems

doi: 10.3879/j.issn.1000-0887.2009.09.013
  • Received Date: 2008-07-28
  • Rev Recd Date: 2009-07-02
  • Publish Date: 2009-09-15
  • 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.
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