| 广义Fibonacci数列与矩阵的秩 |
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| 引用本文： | 曾文建,郭艳凤,张明俊.广义Fibonacci数列与矩阵的秩[J].广西工学院学报,2008,19(4):72-75. |
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| 作者姓名： | 曾文建 郭艳凤 张明俊 |
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| 作者单位： | 1. 福建信息职业技术学院,福建,福州,350007
2. 广西工学院,信息与计算科学系,广西,柳州,545006 |
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| 基金项目： | 国家自然科学基金
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广西工学院硕士基金
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| 摘 要： | 主要研究了广义Fibonacci数列的性质。运用递推关系，证得广义Fibonacei数列的几个性质，进而得到由连续m×r个广义Fibonacci数的k次方所组成的m行r列矩阵Dm×r^k．当m，r≥5时，矩阵Dm×r^4的秩为5．
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| 关 键 词： | 广义Fibonacci数列 递推关系 矩阵 秩 |
Generalized Fibonacci sequence and the rank of the matrix |
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| ZENG Wen-jian,GUO Yan-feng,ZHANG Ming-jun.Generalized Fibonacci sequence and the rank of the matrix[J].Journal of Guangxi University of Technology,2008,19(4):72-75. |
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| Authors: | ZENG Wen-jian GUO Yan-feng ZHANG Ming-jun |
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| Affiliation: | ZENG Wen-jian1,GUO Yan-feng2,ZHANG Ming-jun2(1.Fujian Polytechnic of Information Technology,Fuzhou 350007,China,2.Guangxi University of Technology,Liuzhou 545006,China) |
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| Abstract: | We study the characteristics of the generalized Fibonacci sequence. Several characteristics of Generalized Fibonacci sequence are proved by using recursive relation to convert m × r matrix Dm×r^k made up of k-th power of continuous Generalized Fibonacci. If m, r≥5, the rank of the matrix Dm×r^k is 5. |
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| Keywords: | Generalized Fibonacci sequence recurrence relation matrix rank |
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