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在没有线搜索的条件下,修改的βNk(μ)方法满足充分下降条件.证明了其在标准Wolfe条件下具有全局收敛性.初步的数值结果表明该方法是有效的.“,”A modified βNk(μ) method is proposed in this paper, which can ensure the sufficient descent condition independent of line search. And its global convergence is proved with standard Wolfe conditions. Preliminary numerical results show that it is efficient.