论文标题
一类复杂的对称线性系统的单步三角分裂迭代方法
Single-step triangular splitting iteration method for a class of complex symmetric linear system
论文作者
论文摘要
为了求解一类二次二合一真实线性系统，本文提出了一种基于三角形分裂方案的新单步迭代方法。然后仔细研究了该方法的收敛性。此外，我们确定其最佳迭代参数，并给出相应的最佳收敛因子。值得一提的是，在适当条件下，SSTS迭代方法具有鲁棒性，并且优于SBT和PSBTS迭代方法。最后，进行了一些数值实验以验证理论结果并评估这种新方法。
For solving a class of block two-by-two real linear system, a new single-step iteration method based on triangular splitting scheme is proposed in this paper. Then the convergence properties of this method are carefully investigated. In addition, we determine its optimal iteration parameters and give the corresponding optimal convergence factor. It is worth mentioning that the SSTS iteration method is robust and superior to SBTS and PSBTS iteration methods under suitable conditions. Finally, some numerical experiments are carried out to validate the theoretical results and evaluate this new method.
