Determinants and inverses of circulant matrices with Jacobsthal and Jacobsthal-Lucas Numbers

作者：Bozkurt Durmus^*; Tam Tin Yau

来源：Applied Mathematics and Computation, 2012, 219(2): 544-551.

DOI：10.1016/j.amc.2012.06.039

• Circulant matrices
• Jacobsthal numbers
• Jacobsthal-Lucas numbers
• Inverse
• Determinant

Let n %26gt;= 3 and let J(n) := circ(J(1),J(2),...,J(n)) and j(n) := circ(j(0),j(1),...,j(n-1)) be the n x n circulant matrices associated with the Jacobsthal numbers J(1),...,J(n) and the Jacobsthal-Lucas numbers j(0),...,j(n-1), respectively. The determinants and the inverses of J(n) and j(n) are obtained in terms of J(1),...,J(n) and j(1),...,j(n-1), respectively.

• 出版日期2012-10-1