全部文献期刊学位论文会议报纸专利标准年鉴图书|学者科研项目
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作者:Hong-Tao Fan , Xin-Yun Zhu , Bing Zheng
来源:[J].Journal of Applied Mathematics and Computing, 2017, Vol.54 (1-2), pp.199-212Springer
摘要:Recently, Guo et al. proposed a modified SOR-like (MSOR-like) iteration method for solving the nonsingular saddle point problem. In this paper, we further prove the semi-convergence of this method when it is applied to solve the singular saddle point problems under suitable condi...
作者:Weidong Lv , Xin-yun Zhu
来源:[J].Boundary Value Problems(IF 0.922), 2016, Vol.2016 (1), pp.1-14Springer
摘要:Abstract(#br)In this paper, by means of Darbo’s fixed point theorem, we establish the existence of solutions to a nonlinear discrete fractional mixed type sum-difference equation boundary value problem in a Banach space. Additionally, as an application, we give an example to...
作者:Hong-Tao Fan , Xin-Yun Zhu , Bing Zheng
来源:[J].Computational and Applied Mathematics(IF 0.413), 2018, Vol.37 (3), pp.3256-3266Springer
摘要:Abstract(#br)In this paper, a generalized double shift-splitting (GDSS) preconditioner induced by a new matrix splitting method is proposed and implemented for nonsymmetric generalized saddle point problems having a nonsymmetric positive definite (1,1)-block and a positive d...
作者:Ya-Jing Li , Xin-Yun Zhu , Hong-Tao Fan
来源:[J].Journal of Computational and Applied Mathematics(IF 0.989), 2020, Vol.364Elsevier
摘要:Abstract(#br)Based on a new matrix splitting of the original coefficient matrix, a relaxed block upper–lower triangular (RBULT) preconditioner is proposed for the solution of generalized saddle point problem arising from the incompressible Navier–Stokes equations. The distin...
作者:Hong-Tao Fan , Xin-Yun Zhu
来源:[J].Applied Mathematics Letters(IF 1.501), 2016, Vol.55, pp.18-26Elsevier
摘要:Abstract(#br)Based on a new matrix splitting of the original coefficient matrix, a modified relaxed splitting (MRS) preconditioner for generalized saddle point problems from the incompressible Navier–Stokes equations is considered. The eigenvalue distribution and an upper bo...
作者:Hong-tao Fan , Xin-yun Zhu
来源:[J].Applied Mathematics and Computation(IF 1.349), 2015, Vol.258, pp.36-48Elsevier
摘要:Abstract(#br)For non-Hermitian saddle point problems with the non-Hermitian positive definite (1,1)-block, Zhang et al. (2014) presented a relaxed positive-definite and skew-Hermitian splitting (RPSS) preconditioner to accelerate the convergence rates of the Krylov subspace ...
作者:Hong-tao Fan , Xin-yun Zhu , Bing Zheng
来源:[J].Applied Mathematics and Computation(IF 1.349), 2015, Vol.261, pp.68-80Elsevier
摘要:Abstract(#br)Recently, a class of efficient relaxation iterative methods has been proposed to solve the nonsingular saddle point problems. In this paper, we further prove the semi-convergence of these methods when it is applied to solve the singular saddle point problems. The sem...
作者:Hong-tao Fan , Bing Zheng , Xin-yun Zhu
来源:[J].Numerical Algorithms(IF 1.128), 2016, Vol.72 (3), pp.813-834Springer
摘要:Abstract(#br)For non-Hermitian saddle point linear systems, Pan, Ng and Bai presented a positive semi-definite and skew-Hermitian splitting (PSS) preconditioner (Pan et al. Appl. Math. Comput. 172 , 762–771 2006 ), to accelerate the convergence rate of the Krylov subspace it...
作者:Xin-yun Zhu , Yun-tai Chen
来源:[J].Acta Seismologica Sinica, 2007, Vol.20 (6), pp.605-616Springer
摘要:Abstract(#br)Based on spectral ratio method, a joint inversion method was used to obtain parameters of Lg wave attenuation and site response. The inversion method allows simple and direct (two-parameter) determination of Lg wave attenuation and site response from sparse spec...

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