@Article{NMTMA-10-167, author = {}, title = {Generalized Accelerated Hermitian and Skew-Hermitian Splitting Methods for Saddle-Point Problems}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2017}, volume = {10}, number = {1}, pages = {167--185}, abstract = {

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.  

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2017.m1524}, url = {http://global-sci.org/intro/article_detail/nmtma/12341.html} }