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## On the norms of r-circulant matrices with generalized Fibonacci numbers

#### Amara CHANDOUL [1]

In this paper, we obtain a generalization of [6, 8]. Firstly, we consider the so-called r-circulant matrices with generalized Fibonacci numbers and then found lower and upper bounds for the Euclidean and spectral norms of these matrices. Afterwards, we present some bounds for the spectral norms of Hadamard and Kronecker product of these matrices.
Matrix norm, r-circulant matrices, Generalized Fibonacci numbers
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Subjects Engineering Articles Author: Amara CHANDOUL Publication Date : January 11, 2017
 Bibtex @research article { jacodesmath284552, journal = {Journal of Algebra Combinatorics Discrete Structures and Applications}, issn = {}, eissn = {2148-838X}, address = {}, publisher = {Yildiz Technical University}, year = {2017}, volume = {4}, pages = {13 - 21}, doi = {10.13069/jacodesmath.12813}, title = {On the norms of r-circulant matrices with generalized Fibonacci numbers}, key = {cite}, author = {Chandoul, Amara} } APA Chandoul, A . (2017). On the norms of r-circulant matrices with generalized Fibonacci numbers . Journal of Algebra Combinatorics Discrete Structures and Applications , 4 (1) , 13-21 . DOI: 10.13069/jacodesmath.12813 MLA Chandoul, A . "On the norms of r-circulant matrices with generalized Fibonacci numbers" . Journal of Algebra Combinatorics Discrete Structures and Applications 4 (2017 ): 13-21 Chicago Chandoul, A . "On the norms of r-circulant matrices with generalized Fibonacci numbers". Journal of Algebra Combinatorics Discrete Structures and Applications 4 (2017 ): 13-21 RIS TY - JOUR T1 - On the norms of r-circulant matrices with generalized Fibonacci numbers AU - Amara Chandoul Y1 - 2017 PY - 2017 N1 - doi: 10.13069/jacodesmath.12813 DO - 10.13069/jacodesmath.12813 T2 - Journal of Algebra Combinatorics Discrete Structures and Applications JF - Journal JO - JOR SP - 13 EP - 21 VL - 4 IS - 1 SN - -2148-838X M3 - doi: 10.13069/jacodesmath.12813 UR - https://doi.org/10.13069/jacodesmath.12813 Y2 - 2020 ER - EndNote %0 Journal of Algebra Combinatorics Discrete Structures and Applications On the norms of r-circulant matrices with generalized Fibonacci numbers %A Amara Chandoul %T On the norms of r-circulant matrices with generalized Fibonacci numbers %D 2017 %J Journal of Algebra Combinatorics Discrete Structures and Applications %P -2148-838X %V 4 %N 1 %R doi: 10.13069/jacodesmath.12813 %U 10.13069/jacodesmath.12813 ISNAD Chandoul, Amara . "On the norms of r-circulant matrices with generalized Fibonacci numbers". Journal of Algebra Combinatorics Discrete Structures and Applications 4 / 1 (January 2017): 13-21 . https://doi.org/10.13069/jacodesmath.12813 AMA Chandoul A . On the norms of r-circulant matrices with generalized Fibonacci numbers. Journal of Algebra Combinatorics Discrete Structures and Applications. 2017; 4(1): 13-21. Vancouver Chandoul A . On the norms of r-circulant matrices with generalized Fibonacci numbers. Journal of Algebra Combinatorics Discrete Structures and Applications. 2017; 4(1): 13-21.

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