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基于值域包含的不适定算子方程的收敛速度

Keywords: Tikhonov正则化,正则参数,值域包含,收敛速度

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Abstract:

讨论了不适定的算子方程Af=Bg的收敛速度问题.方程的不适定是指方程的解对初始条件缺乏连续依赖的性质.这里的算子B是定义在某个恰当的Hilbert空间上的算子,它可能是无界算子,而且有值域包含关系R(A)R(B).

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