本文提出一类求解无约束优化问题的非单调曲线搜索方法，在较弱条件下证明了其收敛性。

This paper presents a non-monotone curve search method for unconstrained optimization problems and proves its convergence under some mild conditions.

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在较弱的条件下，获得了算法的全局收敛性定理。

Under very mild conditions, the algorithm possesses global-convergency.

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另外在较弱的条件下，证明该方法具有超线性收敛性。

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

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