Convergence rates of cascade algorithms in (Lp (Rs) )r (1≤p≤∞)spaces((Lp(Rs))r (1≤p≤∞)中细分格式的收敛阶)

研究细分方程 ,x∈Rs,其中向量值函数φ = (φ1, φ2, …, φr)T ∈ (Lp (Rs))r (1 ≤p ≤ ∞), a(α)是具有有限长的r×r矩阵值序列,称为面具,M是一个s× s整数矩阵且满足.定义φn:= Qanφ0,n= 1,2,…,其中,,φ∈(Lp (Rs))r,函数列{φn}φ≥0称为细分格式或级联序列.利用由M,a(α)以及集合E生成的有限线性算子的联合谱半径来刻画与a,φ0,M有关的细分格式{φn}n≥0的收敛阶,其中集合E表示含0的商群Zs/MZs的不同代表元....

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Bibliographic Details
Main Authors: HURui-fang(胡瑞芳), LISong(李松)
Format: Article
Language:zho
Published: Zhejiang University Press 2006-05-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
Online Access:https://doi.org/zjup/1008-9497.2006.33.3.243-246