矩阵初等理论在Fibonacci数列研究中的应用  

Applications of Matrix of Elementary Theories in Research of Sequence of Fibonacci Number

作　　者：陈逢明[1] 许珊珊[2] 曾灿波[2] 

机构地区：[1]福建商业高等专科学校基础部,福州350012 [2]福建师范大学数学与计算机科学学院,福州350007

出　　处：《四川理工学院学报（自然科学版）》2007年第3期25-29,共5页Journal of Sichuan University of Science & Engineering(Natural Science Edition)

基　　金：福建商业高等专科学校基金资助(D200710)

摘　　要：Fibonacci数列是递推关系中的一个典型问题,问题本身虽然是一种假想,然而它的结果却有诸多用途。文章在文献[1]的基础上,进一步地探讨了Fibonacci数列矩阵元素间的关系,证明了当r,m≥5时,矩阵Dm×r^4的秩为5。The sequence of Fibonacci number is a typical problem in recursion relation. Although the question itself is one kind of imagination, its result actually has many uses. On the base of [1], this article further discusses the relations between elements of sequence of Fibonacci number matrix and proves that the fact when r, m≥ 5, the rank of the matrix is 5.

关 键 词：FIBONACCI数列 Cassini公式 矩阵 秩 

分 类 号：O241.6[理学—计算数学]