FIBONACCI AND LUCAS SEQUENCES AS THE PRINCIPALMINORS OF SOME INFINITE MATRICES

A. R. MOGHADDAMFAR; S. M. H. POOYA; S. NAVID SALEHY; S. NIMA SALEHY

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FIBONACCI AND LUCAS SEQUENCES AS THE PRINCIPALMINORS OF SOME INFINITE MATRICES

机译：FIBONACCI和LUCAS序列作为某些无限矩阵的主要定理

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In the literature one may encounter certain infinite tridiagonal matrices, the principalminors of which, constitute the Fibonacci or Lucas sequence. The major purpose of thisarticle is to find new infinite matrices with this property. It is interesting to mention thatthe matrices found are not tridiagonal which have been investigated before. Furthermore,we introduce the sequences composed of Fibonacci and Lucas k-numbers for the positiveinteger k and we construct the infinite matrices the principal minors of which generatethese sequences.

机译：在文献中，可能会遇到某些无限的三对角矩阵，其主要元素构成斐波那契或卢卡斯序列。本文的主要目的是找到具有此属性的新无限矩阵。有趣的是，发现矩阵不是三对角的，以前已经研究过。此外，我们引入了正整数k的斐波那契数和卢卡斯k数组成的序列，并构造了其次要次幂生成这些序列的无限矩阵。

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《Journal of algebra and its applications》 |2009年第6期|共15页
作者
A. R. MOGHADDAMFAR; S. M. H. POOYA; S. NAVID SALEHY; S. NIMA SALEHY;
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正文语种 eng
中图分类代数、数论、组合理论;
关键词
Fibonacci and Lucas k-numbers; determinant; recursive relation; matrix factorization; generalized Pascal triangle.;

机译：Fibonacci和Lucas k数;行列式;递归关系;矩阵分解;广义Pascal三角形。;

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1. FIBONACCI AND LUCAS SEQUENCES AS THE PRINCIPALMINORS OF SOME INFINITE MATRICES [J] . A. R. MOGHADDAMFAR, S. M. H. POOYA, S. NAVID SALEHY, Journal of algebra and its applications . 2009,第6期

机译：FIBONACCI和LUCAS序列作为某些无限矩阵的主要定理
2. Generalized Fibonacci – Like Sequence Associated with Fibonacci and Lucas Sequences [J] . Yogesh Kumar Gupta, Mamta Singh, Omprakash Sikhwal Turkish Journal of Analysis and Number Theory . 2014,第6期

机译：广义斐波那契–与斐波那契和卢卡斯序列相关的序列
3. ON THE Q ANALOGUE OF FIBONACCI AND LUCAS MATRICES AND FIBONACCI POLYNOMIALS [J] . Sahin Adem Utilitas mathematica . 2016,第Null期

机译：关于斐波那契，卢卡斯矩阵和斐波那契多项式的Q类比
4. On the Binomial Sums of k-Fibonacci and k-Lucas sequences [C] . N. Yilmaz, N. Taskara, K. Uslu, International Conference of Numerical Analysis and Applied Mathematics . 2011

机译：在K-FIBONACCI和K-LUCAS序列的二项式中
5. Fibonacci and Lucas series with elliptic functions. [D] . Nguyen, TuAnh Gia. 2005

机译：斐波那契和卢卡斯系列具有椭圆函数。
6. Correction to: On the spectral norms of r-circulant matrices with the bi-periodic Fibonacci and Lucas numbers [O] . Cahit Köme, Yasin Yazlik -1

机译：校正至：具有二周期斐波那契数和卢卡斯数的r循环矩阵的谱范数
7. 1 EVALUATION OF TACHIYA’S ALGEBRAIC INFINITE PRODUCTS INVOLVING FIBONACCI AND LUCAS NUMBERS [O] . Jonathan Sondow 2016

机译：1对涉及FIBONaCCI和LUCas数的TaCHIYa代数无限产品的评估

FIBONACCI AND LUCAS SEQUENCES AS THE PRINCIPALMINORS OF SOME INFINITE MATRICES

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