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The method is proved effective and feasible.
Global convergence of the new method is proved under certain assumptions.
Under suitable assumptions, the global convergence of the hybrid splitting method is proved.
The performance of this method is proved by comparing the quantitative measures with other methods [21].
In Section 4, the weak convergence theorem for our method is proved.
The finite difference linearization method is proved to be more efficient compared to other approaches [6].
The strong convergence of this method is proved under some conditions.
Global convergence of the proposed method is proved under mild assumptions.
Hence, the proposed multi-target imaging method is proved to be reasonable and effective.
Strong convergence of the proposed method is proved under mild assumptions.
Under the assumptions of differentiability and nonsingularity, locally superlinear convergence of the method is proved.
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