Local convergence and local superlinear convergence rate are proved.

证明了方法的局部收敛性和局部超线性收敛性。

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We also prove that the method has superlinear convergence rate under some mild conditions.

另外在较弱的条件下，证明该方法具有超线性收敛性。

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This paper discusses a model algorithm for composite nonsmooth optimization problems and proves that the algorithm holds global convergence and in the meantime the convergent rate is superlinear.

提出复合非光滑优化问题的一类算法，并证明这种算法保持全局收敛性且敛速达到超线性。

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This paper discusses a model algorithm for composite nonsmooth optimization problems and proves that the algorithm holds global convergence and in the meantime the convergent rate is superlinear.

提出复合非光滑优化问题的一类算法，并证明这种算法保持全局收敛性且敛速达到超线性。

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