A new estimate for a quantity involving the Chebyshev polynomials of the first kind
Copyright policy )A new estimate for a quantity involving the Chebyshev polynomials of the first kind
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.
- Chinese Academy of Sciences China (People's Republic of)
- University of Chinese Academy of Sciences China (People's Republic of)
- Academy of Mathematics and Systems Science China (People's Republic of)
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Multigrid methods; domain decomposition for boundary value problems involving PDEs, smoothed aggregation, recurrence relation, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Stability and convergence of numerical methods for boundary value problems involving PDEs, Chebyshev polynomials
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Multigrid methods; domain decomposition for boundary value problems involving PDEs, smoothed aggregation, recurrence relation, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Stability and convergence of numerical methods for boundary value problems involving PDEs, Chebyshev polynomials
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).1 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!