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Volume 11, Issue 2
A Block Chaotic and Asynchronous Algorithm for Consistent Systems with Incomplete Data

Yang-Feng Su

J. Comp. Math., 11 (1993), pp. 154-161.

Published online: 1993-11

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  • Abstract

In this paper, we generalize the paracontracting matrices to pseudocontracting matrices. The convergence of (parallel) iteration $$x_i=P_{ji,x_{i-1}}x_{i-1}$$ and $$x_{i+r_i}=α_{j_i}x_{i+r_i-1}+(1-α_{j_i})P_{j_i,x_i}x_i$$ where $P_{j_i,x_i}, j=1,\cdots,n$, are paracontracting and/or pseudocontracting matrices is analyzed. These iterations can also be applied to solve consistent systems with incomplete data.  

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@Article{JCM-11-154, author = {Su , Yang-Feng}, title = {A Block Chaotic and Asynchronous Algorithm for Consistent Systems with Incomplete Data}, journal = {Journal of Computational Mathematics}, year = {1993}, volume = {11}, number = {2}, pages = {154--161}, abstract = {

In this paper, we generalize the paracontracting matrices to pseudocontracting matrices. The convergence of (parallel) iteration $$x_i=P_{ji,x_{i-1}}x_{i-1}$$ and $$x_{i+r_i}=α_{j_i}x_{i+r_i-1}+(1-α_{j_i})P_{j_i,x_i}x_i$$ where $P_{j_i,x_i}, j=1,\cdots,n$, are paracontracting and/or pseudocontracting matrices is analyzed. These iterations can also be applied to solve consistent systems with incomplete data.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9313.html} }
TY - JOUR T1 - A Block Chaotic and Asynchronous Algorithm for Consistent Systems with Incomplete Data AU - Su , Yang-Feng JO - Journal of Computational Mathematics VL - 2 SP - 154 EP - 161 PY - 1993 DA - 1993/11 SN - 11 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9313.html KW - AB -

In this paper, we generalize the paracontracting matrices to pseudocontracting matrices. The convergence of (parallel) iteration $$x_i=P_{ji,x_{i-1}}x_{i-1}$$ and $$x_{i+r_i}=α_{j_i}x_{i+r_i-1}+(1-α_{j_i})P_{j_i,x_i}x_i$$ where $P_{j_i,x_i}, j=1,\cdots,n$, are paracontracting and/or pseudocontracting matrices is analyzed. These iterations can also be applied to solve consistent systems with incomplete data.  

Su , Yang-Feng. (1993). A Block Chaotic and Asynchronous Algorithm for Consistent Systems with Incomplete Data. Journal of Computational Mathematics. 11 (2). 154-161. doi:
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