Instead of calling aitken transform repeatedly , the improved algorithm call aitken transform in choosing proper occasion only once 与原算法相比，改进算法不频繁调用aitken变换，而执行选择适当时机对aitken变换调用一次的策略。
2.
Because aitken transform can not converge in many conditions , this paper presents an improved algorithm fnn - aitken extrapolation algorithm by analysis the reason of instability 为了弥补该算法的缺陷，本文在分析了该算法不稳定性的根源后提出了改进算法fnn - aitkenextrapolation 。
3.
In the southern hemisphere of the moon ' s far side , mission scientists saw an unusual signature of high - iron rocks in the floor of the south pole ? aitken ( spa ) basin , the largest basin on the moon 科学家在月球远地面南半球的南极?艾肯盆地（简称spa盆地，是月球上最大的盆地）底部，发现高铁岩石的异常踪迹。
4.
Extrapolation method , composed of aitken extrapolation and eigenvalues - based algorithm mainly , can notably reduce iterations commonly . aitken extrapolation algorithm use aitken transform to reduce iterations Aitkenextrapolation算法使用aitken变换以减少迭代次数，但aitken变换在多数情况下无法确保算法收敛。
5.
Compared with aitken extrapolation , eigenvalues - based algorithm bypass aitken transform and perform more effectively than aitken extrapolation algorithm theoretically in the process of iterating hyperlink - based markov matrix 与aitkenextrapolation算法相比，基于特征值求解的算法不借助aitken变换，而通过特征值直接求解马尔可夫超链接矩阵的主特征向量，从理论上比aitkenextrapolation算法更高效。
6.
For the purpose of saving running time of iterations , this paper apply adaptive method to aitken extrapolation algorithm and eigenvalues - based algorithm respectively . experimental results elementarily show that these two new algorithms can speed up the performance of iterations 本文将adaptive方法分别与基于特征值直接求解算法和aitkenextrapolation算法相结合，实验结果初步证明了这两个新算法能够缩短迭代时间。
7.
Introducing a class of generalized fibonacci sequences with double variables , we establish the relation with aitken , secant , new - raphson , halley transformation etc . , generalize the results of many authors . furthermore , we give a more general generalization of q - matrix 通过引入一类双变量的广义fibonacci序列，建立了其与aitken 、 secant 、 newton - raphson 、 halley等变换的关系，进而给出了q -矩阵的一个更广泛的推广。
