On the spectral and Frobenius norm of a generalized Fibonacci r-circulant matrix

Jorma K. Merikoski, et al. "On the spectral and Frobenius norm of a generalized Fibonacci r-circulant matrix." Special Matrices 6.1 (2018): 23-36. <http://eudml.org/doc/288427>.

@article{JormaK2018,
abstract = {Consider the recursion g0 = a, g1 = b, gn = gn−1 + gn−2, n = 2, 3, . . . . We compute the Frobenius norm of the r-circulant matrix corresponding to g0, . . . , gn−1. We also give three lower bounds (with equality conditions) for the spectral norm of this matrix. For this purpose, we present three ways to estimate the spectral norm from below in general.},
author = {Jorma K. Merikoski, Pentti Haukkanen, Mika Mattila, Timo Tossavainen},
journal = {Special Matrices},
keywords = {Euclidean norm; Frobenius norm; generalized Fibonacci numbers; r-circulant matrix; spectral norm},
language = {eng},
number = {1},
pages = {23-36},
title = {On the spectral and Frobenius norm of a generalized Fibonacci r-circulant matrix},
url = {http://eudml.org/doc/288427},
volume = {6},
year = {2018},
}

TY - JOUR
AU - Jorma K. Merikoski
AU - Pentti Haukkanen
AU - Mika Mattila
AU - Timo Tossavainen
TI - On the spectral and Frobenius norm of a generalized Fibonacci r-circulant matrix
JO - Special Matrices
PY - 2018
VL - 6
IS - 1
SP - 23
EP - 36
AB - Consider the recursion g0 = a, g1 = b, gn = gn−1 + gn−2, n = 2, 3, . . . . We compute the Frobenius norm of the r-circulant matrix corresponding to g0, . . . , gn−1. We also give three lower bounds (with equality conditions) for the spectral norm of this matrix. For this purpose, we present three ways to estimate the spectral norm from below in general.
LA - eng
KW - Euclidean norm; Frobenius norm; generalized Fibonacci numbers; r-circulant matrix; spectral norm
UR - http://eudml.org/doc/288427
ER -