-维优化问题的-族二阶收敛算法
A Class of 2-Order Convergence Algorithm for One Dimension Optimization Problem
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摘要: 牛顿法在最优化问题中占有极其重要的地位,它是-个具有二阶收敛性的选代法,但它需计算二阶导数,在原有的基础上通过增加-点的信息,得到了-族仅需计算-阶导数的带可调参数的且具有同样收敛速度的算法.Abstract: Newton's methods play an important role in problems of optimization. It is a kind of iteration that is quadratic convergent. However, it must calculate second order derivative of objective function. Based on the solution prior to this paper, a calss of methods is gained by referring to the extra message from an added point, which only uses first order derivative, and has an adjustable parameter and the same convergent rate as Newton's methods as well.