Acta mathematica scientia,Series A ›› 2000, Vol. 20 ›› Issue (3): 360-363.

• Articles • Previous Articles     Next Articles

Convergence Rates of Regularized Solutions of Nonlinear Operator Equation of the First Kind Involving Monotone Operators

  

  1. (Department of Scientific computing &|Computer Applied, Zhongshan University, Guangzhou 510275)
    (Department of Mathematics, Fudan University, Shanghai 200433)
     
  • Online:2000-05-12 Published:2000-05-12

Abstract:

In this paper we investigate convergence rates of regularized solutions of nonlinear ill-posed operator equations involving monotone operators. Under centain conditions, we obtain convergence rates O(δ1/3), where δ denotes the noise level of the data perturbation.

Key words: Nonlinearoperatorequation, Monotoneoperator, Convergencerate

CLC Number: 

  • 45B05,65J20
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