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This research establishes a new iteration method showing improved convergence in non-symmetric saddle-point problems, suggesting promising applications in computational mathematics.
This paper establishes an iteration method for solving a class of non-symmetric saddle-point problems termed Uzawa-SHSS-SS, based on the SHSS-SS iteration scheme [C. X. Li and S. L. Wu, A SHSS-SS iteration method for non-Hermitian positive definite linear systems, Results in Applied Mathematics, 13 (2022), p. 100225.]. A theoretical analysis indicates that the Uzawa-SHSS-SS is convergent under the right conditions. It is reported that numerical experiments are conducted to verify the efficacy of the Uzawa-SHSS-SS method; it is found to be superior to both the Uzawa-HSS method and Uzawa-SHSS methods based on numerical comparisons.
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Ebadi et al. (2025) studied this question.
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