Adaptive Algorithms of Nonlinear Approximation with Finite Terms

查看全文 作　　者：Wen Bin [1]WEI;Yue Sheng [2]XU;Pei Xin [3]YE

机构地区：[1]Department 4, Air Force Radar Academy, Wuhan 430019, P. R. China;[2]Institute of Mathematics, Chinese Academy of Sciences, Beijing 100080, P. R. China;[3]Department of Mathematics, Nankai University, Tianjin 300000, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》索引2007年第23卷第9期,共10页

基　　金：the foundation under the program of'One Hundred Outstanding Young Chinese Scientists'of the Chinese Academy of Sciences;the Graduate Innovation Foundation of the Chinese Academy of Sciences 摘　　要：This paper deals with realizable adaptive algorithms of the nonlinear approximation withfinite terms based on wavelets.We present a concrete algorithm by which we may find the requiredindex set A_m for the greedy algorithm G_m^p(·,Ψ).This makes the greedy algorithm realize the nearbest approximation in practice.Moreover,we study the efficiency of the finite-term approximation ofanother algorithm introduced by Birge and Massart. 关键词：非线性近似值自适算法数学

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Adaptive Algorithms of Nonlinear Approximation with Finite Terms

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