Optimization of the Hermitian and Skew-Hermitian Splitting Iteration for Saddle-Point Problems

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A Relaxed HSS Preconditioner for Saddle Point Problems from Meshfree Discretization (2013, background): “A variety of preconditioners have been proposed and studied in many papers, such as block diagonal and block triangular preconditioners [7,19,20,24], constraint preconditioners [8,25], HSS-based preconditioners [3, 6, 12, 13, 30], dimensional split preconditioners [15, 16], H−matrix preconditioners ”
Neurobiology of Aging: Contents (2005, unknown): “The use of HSS as a preconditioner for rather general saddle point problems has been studied in [45, 46, 443].”
A Generalized Preconditioned MHSS Method for a Class of Complex Symmetric Linear Systems (2013, methodology): “The method was extended to the solution of saddle point problems [12,13] and the idea of using two parameters to accelerate the HSS iteration method for solving saddle point linear systems was introduced in [6] and deeply discussed in [3].”
A Preconditioner for Generalized Saddle Point Problems (2004, methodology): “01, showing the clustering near 0 and 2 predicted by the theory developed in [6].”
A dimensional split preconditioner for Stokes and linearized Navier-Stokes equations (2011, methodology): “Future work should include further analysis of the preconditioned iteration, including using Local Fourier Analysis [28,3] for estimating the optimal value of the relaxation parameter α, and extension to the 3D case.”