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

Jorma K. Merikoski; Pentti Haukkanen; Mika Mattila; Timo Tossavainen

Special Matrices (2018)

- Volume: 6, Issue: 1, page 23-36
- ISSN: 2300-7451

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topJorma 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 -

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