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 - <p style="text-align: justify;">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. &nbsp;</p>