TY - JOUR
T1 - A Class of Relaxed TTSCSP Iteration Methods for Weakly Nonlinear Systems
AU - Yu , Xiaohui
AU - Wu , Qingbiao
JO - East Asian Journal on Applied Mathematics
VL - 1
SP - 76
EP - 94
PY - 2023
DA - 2023/01
SN - 13
DO - http://doi.org/10.4208/eajam.291121.090722 
UR - https://global-sci.org/intro/article_detail/eajam/21303.html
KW - Picard-RTTSCSP method, nonlinear RTTSCSP-like method, weakly nonlinear system, convergence.
AB - <p style="text-align: justify;">A relaxed TTSCSP (RTTSCSP) iteration method for complex linear systems
is constructed. Based on the strong dominance and separability of linear and nonlinear
terms, Picard-RTTSCSP and nonlinear RTTSCSP-like iterative methods are developed
and applied to complex systems of weakly nonlinear equations. The convergence of
the method is investigated. Besides, optimal iterative parameters minimizing the upper
bound of the spectral radius are derived. Numerical examples show the effectiveness
and applicability of the methods to complex systems of weakly nonlinear equations.</p>