TTSCSP-Based Iteration Methods for Complex Weakly Nonlinear Systems

Abstract

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.