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

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

2006-10-11

arxiv.org/abs/math/0610365v2

Linear Algebra and Its Applications, 428 (2008), 316--323

Mathematics

Numerical Analysis

9 pages; LaTeX; revised version (minor corrections); to appear in "Linear Algebra and its Applications"

Scientific paper

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

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