【摘要】 利用经典的Uzawa法和修正的Hermitian和Skew-Hermitian分裂(MHSS)迭代法,提出一种新的Uzawa-MHSS迭代法求解一类复奇异鞍点问题,得到了该方法的半收敛定理,并分析了其半收敛性.数值实验表明,新迭代方法比经典的Uzawa法和MHSS法在求解鞍点问题时更有效.更多还原

【Abstract】 Using the classical Uzawa method and modified Hermitian and Skew-Hermitian splitting(MHSS)iterative method,we proposed a new Uzawa-MHSS iterative method for solving a class of complex singular saddle-point problems. We obtained the semi-convergence theroem of the new method,and analyzed its semi-convergence.Numerical experiments show that the new iterative method is more effective than the classical Uzawa method and MHSS method to solve the saddle-point problems.更多还原