ON THE EIGENVALUES AND NORMS OF CIRCULANT MATRICESINVOLVING (K;H)-PELL SEQUENCE AND (K;H)-PELL-LUCAS SEQUENCE
Publish Year: 1395
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
MATHEMATICS08_029
تاریخ نمایه سازی: 6 شهریور 1401
Abstract:
In this note particular Circulant matrices involving (k; h)-Pell sequence and (k; h)-Pell-Lucas sequence areconsidered. Some formulas for nth term and sum of the first n terms of (k; h)-Pell and (k; h)-Pell-Lucassequences are considered. Then eigenvalues and determinants of circulant matrices involving these sequencesare obtained. Finally Euclidean norms and some upper and lower bounds for the spectral norms of circulantmatrices involving (k; h)-Pell and (k; h)-Pell-Lucas sequences are established
Authors
Seyyed Hossein Jafari-Petroudi
Department of Mathematics, Payame Noor University, P.O. Box ۱۹۳۵-۳۶۹۷, Tehran, Iran
Maryam Pirouz
Department of Computer, Guilan University, Rasht, Iran