A new estimate for a quantity involving the Chebyshev polynomials of the first kind
arXiv:1804.029350.121 citationsh-index: 6
AI Analysis20
Provides a tighter bound for convergence analysis of algebraic multigrid methods, benefiting numerical linear algebra researchers.
The paper establishes a new optimal upper bound for a quantity in smoothed aggregation algebraic multigrid methods, improving existing estimates.
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.