@article{Wu2026, 
author = {Hong-Yu Wu},
title = {A block diagonal preconditioner with two preconditioning matrices for saddle point problems},
year = {2026},
journal = {Electronic Research Archive},
volume = {34},
number = {10},
pages = {7583-7600},
keywords = {block diagonal preconditioner, saddle point problem, convergence, iterative method},
url = {https://www.sciopen.com/article/10.3934/era.2026327},
doi = {10.3934/era.2026327},
abstract = {This paper introduced a block diagonal preconditioner that incorporated two distinct preconditioned matrices for solving saddle point problems. Then we established some convergence conditions for the resulting iterative method under appropriate conditions. Moreover, a spectral property of the preconditioned matrix was also provided. Numerical experiments demonstrated that the proposed preconditioner exhibited superior performance compared with several recently developed preconditioners.}
}