On the approximation of real powers of sparse, infinite, bounded and Hermitian matrices

preprint2007arXivOpen access

Abstract

We describe a way to approximate the matrix elements of a real power αα of a positive (for α≥0α\ge 0) or non-negative (for α∈Rα\in \mathbb{R}), infinite, bounded, sparse and Hermitian matrix WW. The approximation uses only a finite part of the matrix WW.

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