On Computation of Arbitrary Integer Powers for Certain Type of Band Matrices with Fibonacci Numbers

Mitsugu Hirasaka; Takao Komatsu

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On Computation of Arbitrary Integer Powers for Certain Type of Band Matrices with Fibonacci Numbers

机译：在具有Fibonacci数字的某些类型的频带矩阵的任意整数值的计算

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摘要

In this paper, we find certain family of 4k-square (k = 1,2,...) band matrices whose band width is 2k + 1, and the entries in their arbitrary powers for matrices are expressed by the generalized Fibonacci numbers only.

机译：在本文中，我们发现某些4k-square（k = 1,2，...）带矩阵的频带宽度为2k + 1，并且它们的任意功率中的条目仅由广义的斐波纳契数表示。

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来源
《Journal of combinatorics and number theory》 |2015年第1期|共14页
作者
Mitsugu Hirasaka; Takao Komatsu;
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作者单位

Department of Mathematics Pusan National University Jang-jeon dong Busan 609-735 Republic of Korea;

School of Mathematics and Statistics Wuhan University Wuhan 430072 People's Republic of China;

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原文格式 PDF
正文语种 eng
中图分类数学分析;
关键词
matrices; diagonal; diagonally;

机译：矩阵;对角线;对角线;

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专利

1. On Computation of Arbitrary Integer Powers for Certain Type of Band Matrices with Fibonacci Numbers [J] . Mitsugu Hirasaka, Takao Komatsu Journal of combinatorics and number theory . 2015,第1期

机译：在具有Fibonacci数字的某些类型的频带矩阵的任意整数值的计算
2. On computing of arbitrary integer powers for one type of symmetric anti-tridiagonal matrices of even order [J] . Rimas J Applied mathematics and computation . 2008,第1期

机译：关于一类偶数对称反三对角矩阵的任意整数幂的计算
3. On computing of arbitrary positive integer powers for one type of symmetric pentadiagonal matrices of odd order [J] . Rimas J Applied mathematics and computation . 2008,第1期

机译：关于一类奇数对称五对角矩阵的任意正整数幂的计算
4. An Expression of Arbitrary Positive Integer Powers for One Type of Tridiagonal Matrices [C] . Mei Qin, Yong-na Chang, Wei-xin Wang MAO;International conference of matrices and operators . 2011

机译：一类三对角矩阵的任意正整数表示
5. Transient simulation of power-supply noise in irregular on-chip power distribution networks using latency insertion method, and causal transient simulation of interconnects characterized by band -limited data and terminated by arbitrary terminations. [D] . Lalgudi, Subramanian N. 2008

机译：使用等待时间插入方法对不规则芯片上配电网络中的电源噪声进行瞬态仿真，并对以频带有限的数据为特征并由任意端接终止的互连进行因果瞬态仿真。
6. Computationally efficient banding of large covariance matrices for ordered data and connections to banding the inverse Cholesky factor [O] . Y. Wang, M. J. Daniels -1

机译：计算有序数据的大协方差矩阵的有效计算分带以及与反向Cholesky因子分带的连接
7. Integer Powers of Certain Complex Pentadiagonal Toeplitz Matrices [O] . Hatice Kübra Duru, Durmuş Bozkurt 2017

机译：某些复杂的偏见Toeplitz矩阵的整数力量

On Computation of Arbitrary Integer Powers for Certain Type of Band Matrices with Fibonacci Numbers

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