Some spectral norms of RFPrLrR circulant matrices
Filomat, Tome 37 (2023) no. 13, p. 4221

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In this article, based on combinatorial methods, the structure of RFPrLrR circulant matrices and the identities of matrix norms, we give three lower bounds and upper bounds for spectral norms of RFPrLrR circulant matrices involving exponential forms and trigonometric functions by using a different method. Moreover, we introduce new geometric RFPrLrR circulant matrix, and then we obtain three lower bounds for spectral norms and its upper bound.
DOI : 10.2298/FIL2313221S
Classification : 15A15, 15B05, 15A60, 11B39
Keywords: RFPrLrR circulant matrix, exponential forms, trigonometric functions, spectral norms, Euclidean norms
Baijuan Shi; Can Kızılateş. Some spectral norms of RFPrLrR circulant matrices. Filomat, Tome 37 (2023) no. 13, p. 4221 . doi: 10.2298/FIL2313221S
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     author = {Baijuan Shi and Can K{\i}z{\i}late\c{s}},
     title = {Some spectral norms of {RFPrLrR} circulant matrices},
     journal = {Filomat},
     pages = {4221 },
     year = {2023},
     volume = {37},
     number = {13},
     doi = {10.2298/FIL2313221S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2313221S/}
}
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