1. Axelsson, O., Bai, Z.-Z., Qiu, S.-X.:A class of nested iteration schemes for linear systems with a coefcient matrix with a dominant positive defnite symmetric part. Numer. Algorithms 35, 351-372(2004) 2. Bai, Z.-Z.:A class of modifed block SSOR preconditioners for symmetric positive defnite systems of linear equations. Adv. Comput. Math. 10, 169-186(1999) 3. Bai, Z.-Z.:Modifed block SSOR preconditioners for symmetric positive defnite linear systems. Ann. Oper. Res. 103, 263-282(2001) 4. Bai, Z.-Z.:On the convergence of additive and multiplicative splitting iterations for systems of linear equations. J. Comput. Appl. Math. 154, 195-214(2003) 5. Bai, Z.-Z.:Splitting iteration methods for non-Hermitian positive defnite systems of linear equations. Hokkaido Math. J. 36, 801-814(2007) 6. Bai, Z.-Z.:On SSOR-like preconditioners for non-Hermitian positive defnite matrices. Numer. Linear Algebra Appl. 23, 37-60(2016) 7. Bai, Z.-Z.:Quasi-HSS iteration methods for non-Hermitian positive defnite linear systems of strong skew-Hermitian parts. Numer. Linear Algebra Appl. 25(e2116), 1-19(2018) 8. Bai, Z.-Z., Golub, G.H.:Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems. IMA J. Numer. Anal. 27, 1-23(2007) 9. Bai, Z.-Z., Golub, G.H., Li, C.-K.:Optimal parameter in Hermitian and skew-Hermitian splitting method for certain two-by-two block matrices. SIAM J. Sci. Comput. 28, 583-603(2006) 10. Bai, Z.-Z., Golub, G.H., Lu, L.-Z., Yin, J.-F.:Block triangular and skew-Hermitian splitting methods for positive-defnite linear systems. SIAM J. Sci. Comput. 26, 844-863(2005) 11. Bai, Z.-Z., Golub, G.H., Ng, M.K.:Hermitian and skew-Hermitian splitting methods for non-Hermitian positive defnite linear systems. SIAM J. Matrix Anal. Appl. 24, 603-626(2003) 12. Bai, Z.-Z., Golub, G.H., Ng, M.K.:On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations. Numer. Linear Algebra Appl. 14, 319-335(2007) 13. Bai, Z.-Z., Golub, G.H., Pan, J.-Y.:Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefnite linear systems. Numer. Math. 98, 1-32(2004) 14. Bai, Z.-Z., Huang, T.-Z.:On the convergence of the relaxation methods for positive defnite linear systems. J. Comput. Math. 16, 527-538(1998) 15. Bai, Z.-Z., Qiu, S.-X.:Splitting-MINRES methods for linear systems with the coefcient matrix with a dominant indefnite symmetric part. Math. Numer. Sinica 24, 113-128(2002). (in Chinese) 16. Bai, Z.-Z., Zhang, S.-L.:A regularized conjugate gradient method for symmetric positive defnite system of linear equations. J. Comput. Math. 20, 437-448(2002) 17. Benzi, M.:A generalization of the Hermitian and skew-Hermitian splitting iteration. SIAM J. Matrix Anal. Appl. 31, 360-374(2009) 18. Benzi, M., Gander, M.J., Golub, G.H.:Optimization of the Hermitian and skew-Hermitian splitting iteration for saddle-point problems. BIT 43, 881-900(2003) 19. Benzi, M., Golub, G.H.:A preconditioner for generalized saddle point problems. SIAM J. Matrix Anal. Appl. 26, 20-41(2004) 20. Bertaccini, D., Golub, G.H., Serra Capizzano, S., Possio, C.T.:Preconditioned HSS methods for the solution of non-Hermitian positive defnite linear systems and applications to the discrete convection-difusion equation. Numer. Math. 99, 441-484(2005) 21. Bey, J., Reusken, A.:On the convergence of basic iterative methods for convection-difusion equations. Numer. Linear Algebra Appl. 1, 1-7(1993) 22. Eiermann, M., Niethammer, W., Varga, R.S.:Acceleration of relaxation methods for non-Hermitian linear systems. SIAM J. Matrix Anal. Appl. 13, 979-991(1992) 23. Eiermann, M., Varga, R.S.:Is the optimal ω best for the SOR iteration method? Linear Algebra Appl. 182, 257-277(1993) 24. Golub, G.H., Vanderstraeten, D.:On the preconditioning of matrices with skew-symmetric splittings. Numer. Algorithms 25, 223-239(2000) 25. Golub, G.H., Van Loan, C.F.:Matrix Computations, 4th edn. Johns Hopkins University Press, Baltimore (2013) 26. Greif, C., Varah, J.:Iterative solution of cyclically reduced systems arising from discretization of the three-dimensional convection-difusion equation. SIAM J. Sci. Comput. 19, 1918-1940(1998) 27. Greif, C., Varah, J.:Block stationary methods for nonsymmetric cyclically reduced systems arising from three-dimensional elliptic equations. SIAM J. Matrix Anal. Appl. 20, 1038-1059(1999) 28. Huang, Y.-M.:A practical formula for computing optimal parameters in the HSS iteration methods. J. Comput. Appl. Math. 255, 142-149(2014) 29. Huang, Y.-M.:On m-step Hermitian and skew-Hermitian splitting preconditioning methods. J. Engrg. Math. 93, 77-86(2015) 30. Li, X.-Z., Varga, R.S.:A note on the SSOR and USSOR iterative methods applied to p-cyclic matrices. Numer. Math. 56, 109-121(1989) 31. Lin, X.-L., Ng, M.K., Sun, H.-W.:A splitting preconditioner for Toeplitz-like linear systems arising from fractional difusion equations. SIAM J. Matrix Anal. Appl. 38, 1580-1614(2017) 32. Neumaier, A., Varga, R.S.:Exact convergence and divergence domains for the symmetric successive overrelaxation iterative (SSOR) method applied to H-matrices. Linear Algebra Appl. 58, 261-272(1984) 33. Neumann, M., Varga, R.S.:On the sharpness of some upper bounds for the spectral radii of S.O.R. iteration matrices. Numer. Math. 35, 69-79(1980) 34. Niethammer, W., Varga, R.S.:Relaxation methods for non-Hermitian linear systems. Results Math. 16, 308-320(1989) 35. Simoncini, V., Benzi, M.:Spectral properties of the Hermitian and skew-Hermitian splitting preconditioner for saddle point problems. SIAM J. Matrix Anal. Appl. 26, 377-389(2004) 36. Varga, R.S.:Matrix Iterative Analysis. Prentice-Hall, Inc., Englewood Clifs (1962) 37. Wang, C.-L., Bai, Z.-Z.:Sufcient conditions for the convergent splittings of non-Hermitian positive defnite matrices. Linear Algebra Appl. 330, 215-218(2001) 38. Wu, S.-L.:Several variants of the Hermitian and skew-Hermitian splitting method for a class of complex symmetric linear systems. Numer. Linear Algebra Appl. 22, 338-356(2015) 39. Yang, A.-L., An, J., Wu, Y.-J.:A generalized preconditioned HSS method for non-Hermitian positive defnite linear systems. Appl. Math. Comput. 216, 1715-1722(2010) |