Corrigendum to “Integer powers of real odd order skew-persymmetric anti-tridiagonal matrices with constant anti-diagonals (antitridiagn(a,c,-a),a∈R⧹{0},c∈R )” [Appl. Math. Comput. 219 (2013) 7075–7088]

Applied Mathematics and Computation 219 (2013) 9347

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Erratum

Corrigendum to ‘‘Integer powers of real odd order skewpersymmetric anti-tridiagonal matrices with constant antidiagonals (antitridiagn ða; c; aÞ; a 2 R n f0g; c 2 R)’’ [Appl. Math. Comput. 219 (2013) 7075–7088] Jonas Rimas Department of Applied Mathematics, Faculty of Fundamental Sciences, Kaunas University of Technology, Kaunas 51368, Lithuania

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Keywords: Anti-tridiagonal matrices Eigenvalues Eigenvectors Chebyshev polynomials

a b s t r a c t This communication gives the corrigendum to the papar ‘‘Integer powers of real odd order skew-persymmetric anti-tridiagonal matrices with constant anti-diagonals (antitridiagn ða; c; aÞ; a 2 R n f0g; c 2 R)’’ (AMC 2013), doi:10.1016/amc.2012.12.051. Ó 2013 Elsevier Inc. All rights reserved.

In this communication we give the following corrigendum for the paper ‘‘Integer powers of real odd order skew-persymmetric anti-tridiagonal matrices with constant anti-diagonals (antitridiagn ða; c; aÞ; a 2 R n f0g; c 2 R)’’ (AMC 2013), doi:10.1016/amc.2012.12.051: (1) The title of the paper should be read as follows: ‘‘Integer powers of real odd order anti-tridiagonal matrices with constant anti-diagonals (antitridiagn ða; c; aÞ; a 2 R n f0g; c 2 R)’’. (2) The abstract should be read as follows: ‘‘In this paper we give the eigenvalue decomposition for one type of real odd order anti-tridiagonal matrices with constant anti-diagonals and derive the general expression for integer powers of such matrices.’’ (3) The last sentence of the Introduction should be read as follows: ‘‘Based on the results of the paper [5], in the present paper we give the eigenvalue decomposition for one type of real odd order anti-tridiagonal matrices with constant anti-diagonals and derive the general expression for integer powers of such matrices’’.

DOI of original article: http://dx.doi.org/10.1016/j.amc.2012.12.051 E-mail address: [email protected] 0096-3003/$ - see front matter Ó 2013 Elsevier Inc. All rights reserved. http://dx.doi.org/10.1016/j.amc.2013.03.050