DCT-III矩阵的V循环最优收敛性
V-cycle optimal convergence for DCT-III matrices
Università di Milano Bicocca（米兰比可卡大学）
AI总结：
本文分析DCT-III代数中由多项式符号生成的矩阵的两网格和多网格方法，证明V循环收敛率与矩阵大小无关，并通过微分和积分方程数值例子验证。
摘要：
本文分析了属于DCT-III代数并由多项式符号生成的矩阵的两网格和多网格方法。目的是证明所考虑的多网格方法（V循环）的收敛率与给定矩阵的大小无关。考虑了来自微分和积分方程的数值例子，以说明所声称的收敛性质。
英文摘要：
The paper analyzes a two-grid and a multigrid method for matrices belonging to the DCT-III algebra and generated by a polynomial symbol. The aim is to prove that the convergence rate of the considered multigrid method (V-cycle) is constant independent of the size of the given matrix. Numerical examples from differential and integral equations are considered to illustrate the claimed convergence properties.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
