Advances and Applications in Discrete Mathematics
Volume 23, Issue 1, Pages 13 - 24
(January 2020) http://dx.doi.org/10.17654/DM023010013 |
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DETERMINANTS, NORMS AND SPREADS OF SKEW CIRCULANT MATRICES INVOLVING THE SUM OF PELL AND PELL-LUCAS NUMBERS
Yunlan Wei, Yanpeng Zheng, Zhaolin Jiang and Sugoog Shon
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Abstract: In this paper, we study explicit formula for determinant of skew circulant matrix involving the sum of Pell and Pell-Lucas numbers, which are expressed by the (n – 1)th, nth, and (n + 1)th numbers. Our method is by construction. Some norms and bounds for spreads of these matrices are given, respectively. We generalized these results to skew left circulant matrix involving the sum of Pell and Pell-Lucas numbers. We also include some examples to illustrate our results. |
Keywords and phrases: determinant, norm, spread, Pell number, skew circulant matrix.
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