Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/103632
Title: Nonuniform cascade algorithms
Authors: Goodman, T.N.T.
Lee, S.L. 
Keywords: 41A15
41A30
42C05
42C15
Banach space
Cascade algorithm
Operator refinement equation
Issue Date: 1-Jul-2000
Citation: Goodman, T.N.T.,Lee, S.L. (2000-07-01). Nonuniform cascade algorithms. Journal of Computational and Applied Mathematics 119 (1-2) : 223-234. ScholarBank@NUS Repository.
Abstract: For a sequence of bounded linear operators Hk, k=0,1,..., on a Banach space S, the algorithm φk,n=Hkφk+1,n-1 generates a family of sequences (φk,n)n=0 ∞,k=0,1,..., from an initial family of vectors φk,0∈S,k=0,1,.... We study the convergence of φk,n as n→∞, and give an application on the convergence of cascade algorithms for nonuniform splines when S is the space of all sequences φ(φi)i∈Z with norm ∥φ∥supi∈Z∥φi∥
Source Title: Journal of Computational and Applied Mathematics
URI: http://scholarbank.nus.edu.sg/handle/10635/103632
ISSN: 03770427
Appears in Collections:Staff Publications

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