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Convergence rates of regularized solutions of nonlinear ill-posed operator equations involving monotone operators

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Abstract

The convergence rates of regularized solutions of nonlinear ill-posed operator equations involving monotone operators are investigated, and conditions that guarantee convergence rates like\(O(\delta ^{\frac{1}{2}} ),{\bf{ }}O(\delta ^{\frac{2}{3}} )\) and\(O(\delta ^{\frac{n}{{n + 1}}} )\) are given, where δ denotes the noise level of the data perturbation.

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Authors and Affiliations

  1. Department of Mathematics, Hunan Normal University, 410081, Changsha, China

    Hongqi Yang

  2. Department of Mathematics, Fudan University, 200433, Shanghai, China

    Zongyi Hou

Authors
  1. Hongqi Yang
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  2. Zongyi Hou
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Project supported by the National Natural Science Foundation of China (Grant No. 19671029).

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Yang, H., Hou, Z. Convergence rates of regularized solutions of nonlinear ill-posed operator equations involving monotone operators. Sci. China Ser. A-Math. 41, 252–259 (1998). https://doi.org/10.1007/BF02879043

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  • DOI: https://doi.org/10.1007/BF02879043

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