THE DETERMINANTS OF CIRCULANT AND SKEW-CIRCULANT MATRICES WITH TRIBONACCI NUMBERS

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Mathematical Sciences and Applications E-Notes
Volume:2 Issue:2
THE DETERMINANTS OF CIRCULANT AND SKEW-CIRCULANT MATRICES WITH TRIBONACCI NUMBERS

THE DETERMINANTS OF CIRCULANT AND SKEW-CIRCULANT MATRICES WITH TRIBONACCI NUMBERS

Authors : DURMUŞ BOZKURT, CARLOS M DAFONSECA, FATİHYILMAZ

Pages : 67-75

Doi:10.36753/mathenot.207623

View : 23 | Download : 9

Publication Date : 2014-12-01

Article Type : Research Paper

Abstract :Determinant computation has an important role in mathematics.It can be computed by using some different methods but it needs huge amountof operations to compute determinant of a matrix. For instance, using Gausselimination method, it is neccessary about 2n3/3 arithmetic steps of a matrix of order n. Therefore, determinant computation has been considered forspecial matrices with special entries. Similarly, the permanent of a matrix isan analog of determinant where all the signs in the expansion by minors aretaken as positive. This study considers the determinant of circulant matriceswhose entries are Tribonacci numbers. Some relations with the permanent areestablished
Keywords : Circulant matrix, Tribonacci number, Determinant, Permanent

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