关于Fibonacci数任意次幂的一些恒等变换

研究了Ｆｉｂｏｎａｃｃｉ数任意次幂的一些恒等变换，并得出一些有趣的同余式。     

Investigation and development of an atlas of optimal configurations, standard sizes, and areas of raster elements and basic link fragments for the synthesis of color halftone images

Results of investigation and development of methods for the synthesis of halftone images and computer and laser modern information technologies are presented. A completely new technology is proposed. Translated from Kibernetika i Sistemnyi Analiz, No. 2, pp. 134–143, March–April, 2000.     

关于Fibonacci数的一些恒等式

研究了Ｆｉｂｏｎａｃｃｉ数的一些性质，并给出了一类新的恒等式和一些有趣的同余式。     

The q-Pilbert matrix

A generalized Filbert matrix is introduced, sharing properties of the Hilbert matrix and Fibonacci numbers. Explicit formulae are derived for the LU-decomposition and their inverses, as well as the Cholesky decomposition. The approach is to use q-analysis and to leave the justification of the necessary identities to the q-version of Zeilberger's celebrated algorithm.     

关于Fibonacci三角形猜想k=13的证明

运用初等方法,引入Fibonacci数的负指标,证明了在k=13时Fibonacci三角形不存在.     

Fibonacci数和Lucas数的联合迭代算法

针对超大Fibonacci数和Lucas数的计算问题，提出一种Fibonacci-Lucas数联合迭代算法，在单次循环中选择二倍步长的方式，采用交替计算Fibonacci数和Lucas数的方法，减低超大数迭代算式的复杂度，提高程序的计算效率。实验结果表明，该算法运行时间比现有的矩阵迭代算法更短。