Volume 20, Issue 4
A Note on Vector Cascade Algorithm

J. Comp. Math., 20 (2002), pp. 363-372.

Published online: 2002-08

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• Abstract

The focus of this paper is on the relationship between accuracy of multivariate refinable vector and vector cascade algorithm. We show that, if the vector cascade algorithm (1.5) with isotropic dilation converges to a vector-valued function with regularity, then the initial function must satisfy the Strang-Fix conditions.

• Keywords

Cascade algorithm, Accuracy, Symbol, Refinable vector.

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@Article{JCM-20-363, author = {Chen , Qiu-HuiLiu , Jin-Zhao and Zhang , Wen-Sheng}, title = {A Note on Vector Cascade Algorithm}, journal = {Journal of Computational Mathematics}, year = {2002}, volume = {20}, number = {4}, pages = {363--372}, abstract = {

The focus of this paper is on the relationship between accuracy of multivariate refinable vector and vector cascade algorithm. We show that, if the vector cascade algorithm (1.5) with isotropic dilation converges to a vector-valued function with regularity, then the initial function must satisfy the Strang-Fix conditions.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8924.html} }
TY - JOUR T1 - A Note on Vector Cascade Algorithm AU - Chen , Qiu-Hui AU - Liu , Jin-Zhao AU - Zhang , Wen-Sheng JO - Journal of Computational Mathematics VL - 4 SP - 363 EP - 372 PY - 2002 DA - 2002/08 SN - 20 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8924.html KW - Cascade algorithm, Accuracy, Symbol, Refinable vector. AB -

The focus of this paper is on the relationship between accuracy of multivariate refinable vector and vector cascade algorithm. We show that, if the vector cascade algorithm (1.5) with isotropic dilation converges to a vector-valued function with regularity, then the initial function must satisfy the Strang-Fix conditions.

Qiu-Hui Chen, Jin-Zhao Liu & Wen-Sheng Zhang. (1970). A Note on Vector Cascade Algorithm. Journal of Computational Mathematics. 20 (4). 363-372. doi:
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