二次逼近 meaning in English
quadratic approximation
Examples
- Quadratic approximations in two dimensions
二维中的二次逼近法。 - Using the conic function model local approximation , w . cdavidon ( 1980 ) proposed a class of iterative algorithms with modified matrix combining function value , furthermore under the theory d . c . sorensen has used local quadratic approximation method , then applying collinear scaling idea improving on the above algorithm and generalizing it , getting a class of collinear scaling algorithm , unifying former quasi - newton . in the paper , using local quadratic approximation method , the first , constructing the new collinear scaling gene , getting a class of the new collinear scaling algorithm with briefness and numerical stability , . , we discusses some properties of the algorithm and its local linear convergence , q - superlinear convergence and the whole convergence ; secondly we have made numerical experimentation and numerical analysis ; the last , we have done much discussion for collinear scaling idea and given the several new collinear scaling algorithm
本文的工作就是基于局部二次逼近原理，首先通过构造新的共线调比因子，得到了一类新的更简洁，数值稳定性更好的共线调比算法，进而我们给出了本共线调比算法的局部收敛性，全局收敛性以及算法q -超线性速度的理论证明；其次，用经典的无约束优化五大考核函数就本共线调比算法进行了数值试验和数值分析；最后，就局部二次逼近思想，进行共线调比算法思想进行更广泛的讨论，给出了几个新共线调比算法。