PU-STS method for non-Hermitian saddle-point problems

Based on the skew-Hermitian triangular splitting (STS) of the (1,1) part of saddle-point coefficient matrix, a modified Uzawa method is proposed for solving non-Hermitian saddle-point problems with non-Hermitian positive definite and skew-Hermitian dominant (1,1) part. Convergence properties of this method are analyzed and the corresponding convergence result is derived under suitable conditions. Numerical experiments are provided to confirm the theoretical results, which demonstrate that this method is effective and feasible for saddle-point problems with non-Hermitian positive definite and skew-Hermitian dominant (1,1) part.