A new estimate for a quantity involving the Chebyshev polynomials of the first kind
Numerical Analysis
2019-03-19 v2
Abstract
In this paper, we establish a new estimate (including lower and upper bounds) for an important quantity involved in the convergence analysis of smoothed aggregation algebraic multigrid methods. The new upper bound improves the existing ones. And our upper bound is optimal.
Keywords
Cite
@article{arxiv.1804.02935,
title = {A new estimate for a quantity involving the Chebyshev polynomials of the first kind},
author = {Xuefeng Xu and Chen-Song Zhang},
journal= {arXiv preprint arXiv:1804.02935},
year = {2019}
}