A GENERALIZATION OF THE HERMITIAN AND SKEW-HERMITIAN SPLITTING ITERATION

作者：Benzi Michele^*

来源：SIAM Journal on Matrix Analysis and Applications, 2009, 31(2): 360-374.

DOI：10.1137/080723181

• matrix splittings
• HSS iteration
• preconditioning
• saddle point systems
• generalized Stokes and Oseen problems
• Navier-Stokes equations
• convection-diffusion equation

This paper is concerned with a generalization of the Hermitian and skew-Hermitian (HSS) splitting iteration for solving positive definite, non-Hermitian linear systems. It is shown that the new scheme can outperform the standard HSS method in some situations and can be used as an effective preconditioner for certain linear systems in saddle point form. Numerical experiments using discretizations of incompressible flow problems demonstrate the effectiveness of the generalized HSS preconditioner.

• 出版日期2009