ON THE BOUNDS FOR THE SPECTRAL NORMS OF <i>R</i>-CIRCULANT MATRICES WITH A TYPE OF CATALAN TRIANGLE NUMBERS
Emrah Polatli
article (Uluslararası, Hakemli) | Yazar(lar): Emrah Polatli | Yıl: 2019 | Dergi/Kurum: JOURNAL OF SCIENCE AND ARTS | İndeks: WOS.ESCI | Anahtar Kelimeler: Catalan numbers, binomial coefficients, spectral norm, r-circulant matrix — Özet: In this paper, we give lower and upper bounds for the spectral norms of the r-circu
In this paper, we give lower and upper bounds for the spectral norms of the r-circulant matrices whose entries are
B-n,B-k = k/n((2n)(n - k))
and
kB(n,k) = k(2)/n((2n)(n - k)),
respectively, where n is an element of N, k = 0, 1, 2, . . . , n-1, k <= n. Then we present some bounds for the spectral norms of Kronecker and Hadamard products of these matrices.