Newton-LHSS后退方法及其全局收敛性的研究

Newton-LHSS with Backtracking Methods and the Global Convergence

基于倾向一侧的HSS(LHSS)方法,提出了一类求解非线性方程组的Newton-LHSS后退(NLHSSB)方法,给出了Newton-LHSS后退方法的全局收敛定理.数值实验证明了该方法的正确性和有效性.

Based on lopsided hermitian/skew-hermitian（LHSS） methods,a class of Newton-LHSS with backtracking（NLHSSB） methods for nonlinear equations are proposed,the global convergence theorem of NLHSSB methods are present.Numerical results confirm the correctness effectiveness of the proposed methods.