| 矩阵初等理论在Fibonacci数列研究中的应用 |
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| 引用本文： | 陈逢明,许珊珊,曾灿波. 矩阵初等理论在Fibonacci数列研究中的应用[J]. 四川理工学院学报(自然科学版), 2007, 20(3): 25-29 |
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| 作者姓名： | 陈逢明 许珊珊 曾灿波 |
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| 作者单位： | 福建商业高等专科学校基础部,福州,350012;福建师范大学数学与计算机科学学院,福州,350007 |
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| 基金项目： | 福建商业高等专科学校基金 |
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| 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D_(m×r)~4的秩为5。
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| 关 键 词： | Fibonacci数列 Cassini公式 矩阵 秩 |
| 文章编号： | 1673-1549（2007）03-0025-05 |
| 收稿时间： | 2006-12-18 |
| 修稿时间： | 2006-12-18 |
Applications of Matrix of Elementary Theories in Research of Sequence of Fibonacci Number |
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| CHEN Feng-ming,XU Shan-shan,ZENG Can-bo. Applications of Matrix of Elementary Theories in Research of Sequence of Fibonacci Number[J]. Journal of Sichuan University of Science & Engineering(Natural Science Editton), 2007, 20(3): 25-29 |
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| Authors: | CHEN Feng-ming XU Shan-shan ZENG Can-bo |
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| Abstract: | 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. |
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| Keywords: | sequence of Fibonacci number Cassini formula matrix rank |
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