4 papers
math.NA2020
A new analytical framework for the convergence of inexact two-grid methods
Xuefeng Xu, Chen-Song Zhang
Two-grid methods with exact solution of the Galerkin coarse-grid system have been well studied by the multigrid community: an elegant identity has been established to characterize…
math.NA2018
A new estimate for a quantity involving the Chebyshev polynomials of the first kind
Xuefeng Xu, Chen-Song Zhang
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 multi…
math.NA2017
On the Ideal Interpolation Operator in Algebraic Multigrid Methods
Xuefeng Xu, Chen-Song Zhang
Various algebraic multigrid algorithms have been developed for solving problems in scientific and engineering computation over the past decades. They have been shown to be well-sui…
math.NA2016
New perturbation bounds for the spectrum of a normal matrix
Xuefeng Xu, Chen-Song Zhang
Let and be two normal matrices with spectra and , respect…