TY - JOUR T1 - Generalized Accelerated Hermitian and Skew-Hermitian Splitting Methods for Saddle-Point Problems JO - Numerical Mathematics: Theory, Methods and Applications VL - 1 SP - 167 EP - 185 PY - 2017 DA - 2017/10 SN - 10 DO - http://doi.org/10.4208/nmtma.2017.m1524 UR - https://global-sci.org/intro/article_detail/nmtma/12341.html KW - AB -

We generalize the accelerated Hermitian and skew-Hermitian splitting(AHSS) iteration methods for large sparse saddle-point problems. These methods involve four iteration parameters whose special choices can recover the preconditioned HSS and accelerated HSS iteration methods. Also a new efficient case is introduced and we theoretically prove that this new method converges to the unique solution of the saddle-point problem. Numerical experiments are used to further examine the effectiveness and robustness of iterations.