TY - JOUR
T1 - TTSCSP-Based Iteration Methods for Complex Weakly Nonlinear Systems
AU - Salimi Siahkolaei , Tahereh
AU - Khojasteh Salkuyeh , Davod
JO - East Asian Journal on Applied Mathematics
VL - 1
SP - 1
EP - 21
PY - 2020
DA - 2020/01
SN - 10
DO - http://doi.org/10.4208/eajam.281018.100419
UR - https://global-sci.org/intro/article_detail/eajam/13575.html
KW - Weakly nonlinear system, TTSCSP iteration method, inner/outer iteration scheme.
AB - <p style="text-align: justify;">We present Picard-TTSCSP and nonlinear TTSCSP-like iteration methods for systems of weakly nonlinear equations. These methods require solving two subsystems with constant positive definite coefficient matrices. Such subsystems are solved by the conjugate gradient method. Local convergence of the methods is established and numerical experiments demonstrate the efficiency of the methods.</p>