斐波那契级数生成算法的研究

S. M. Farooq, S. H. Shabbeer Basha
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引用次数: 2

摘要

12世纪意大利数学家莱昂纳多·波纳奇(Leonardo Bonacci)提出了许多生成斐波那契级数的算法[1]。研究论文给出了三种不同的斐波那契级数生成算法的见解。本文对线性fib、EXPO_FIB和MATRIX_FIB三种不同的算法进行了比较。计算了这些算法的时间复杂度。我们的研究结果表明,这三种算法给出线性、指数和对数的时间复杂度。最后讨论了算法生成的斐波那契数的应用领域。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A study on Fibonacci series generation algorithms
many algorithms proposed to generate Fibonacci series introduced by a 12th century Italian mathematician Leonardo Bonacci [1]. The study paper gives insight into three different Fibonacci series generation algorithms. This paper compares and contrasts three different algorithms namely LINEAR_FIB, EXPO_FIB and MATRIX_FIB. Time complexities of these algorithms are computed. The results of our study show that the three algorithms gives linear, exponential and logarithmic time complexities. Finally we discussed application areas of Fibonacci numbers which are generated by the algorithms.
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