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

On the spectral and Frobenius norm of a generalized Fibonacci r-circulant matrix AbstractConsider 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Special Matrices de Gruyter

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

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Publisher
de Gruyter
Copyright
© 2018, published by De Gruyter
eISSN
2300-7451
D.O.I.
10.1515/spma-2018-0003
Publisher site
See Article on Publisher Site

Abstract

AbstractConsider 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.

Journal

Special Matricesde Gruyter

Published: Jan 24, 2018

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