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,首先通過構造新的共線調比因子,得到了一類新的更簡潔,數(shù)值穩(wěn)定性更好的共線調比算法,進而我們給出了本共線調比算法的局部收斂性,全局收斂性以及算法q -超線性速度的理論證明;其次,用經(jīng)典的無約束優(yōu)化五大考核函數(shù)就本共線調比算法進行了數(shù)值試驗和數(shù)值分析;最后,就局部二次逼近思想,進行共線調比算法思想進行更廣泛的討論,給出了幾個新共線調比算法。