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In this paper, we provide a block diagonalization algorithm of (k,k ' )-pentadiagonal matrices. The algorithm is a structure-preserving algorithm in that the small diagonal blocks essentially have the same nonzero structure as the original one, and it can be regarded as an extension of the block diagonalization algorithm of k-tridiagonal matrices in (T. Sogabe, M.E.A. El-Mikkawy, Appl. Math. Compute., 218 (2011), 2740-2743).

FAST BLOCK DIAGONALIZATION OF $(k,k')$-PENTADIAGONAL MATRICES