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FIBONACCI-LUCAS拟循环矩阵蔺大正(英文)

FIBONACCI-LUCAS QUASI-CYCLIC MATRICES
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摘要 我们找到了一簇由Fibonacci数与Lucas数组成的拟循环矩阵 研究了它们的某些性质 给出了它们的行列式的闭形式公式 还说明了它们对于求解(高次) In the paper it has been found a variety of quasi-cyclic matrices consisting of the Fibonacci and Lucas numbers. Some properties about them are discussed. It has be given their determinants in closed form. It is also shown their applications to solve Pell's equations of higher degree.
作者 蔺大正
出处 《四川工业学院学报》 2003年第B12期117-120,136,共5页 Journal of Sichuan University of Science and Technology
关键词 Fibomcci数 LUCAS数 拟循环矩阵 行列式 PELL方程 Fibonacci number, Lucas number, quasi-cyclic matrix, determinant, Pell's equation
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参考文献5

  • 1Lin Dazheng.Fibonacci Matrices[J]. The Fibonacci Quarterly, vol. 37.2(1999):14-20, MR, 99m:11011.
  • 2Shen Guangxing. On Eigenvalues of some CyclicMatrices[J].Math Application 1991,4(3) : 76-82.
  • 3Richard K Guy, Unsolved Problems in Number Theory[M]. New York: Springer - Verlag, 1981.
  • 4Hua Logeng & Wang Yuan, Applications of Number Theory to Numerical Analysis [J ]. Science Publishing House (in Chinese),1978; New York: Springer Verlag, 1981.
  • 5Tang Taiming & Lin Dazheng. Diophatine approximation circulant matrix and Pell equation[J]. J Shaansi Normal Univ (Natural Science Ed. ),2000,28. (14): 6-11.

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