Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Guo-Yan Meng"'
Publikováno v:
Zhongguo quanke yixue, Vol 27, Iss 10, Pp 1149-1152 (2024)
Externí odkaz:
https://doaj.org/article/409dc565283343a184a1f2947ec6bcb4
Publikováno v:
East Asian Journal on Applied Mathematics. 7:101-115
There has been a lot of study on the SOR-like methods for solving the augmented system of linear equations since the outstanding work of Golub, Wu and Yuan (BIT 41(2001)71-85) was presented fifteen years ago. Based on the SOR-like methods, we establi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c26b227aaa1a50c4331ec6b22bd9b75d
https://doi.org/10.4208/eajam.010916.261116a
https://doi.org/10.4208/eajam.010916.261116a
Publikováno v:
Numerical Algorithms. 75:1123-1140
In this study, we propose a modified quasi-Chebyshev acceleration to the nonoverlopping multisplitting iteration method for solving the linear systems Ax = b where A is a real symmetric positive definite matrix or an H-matrix. In the process of the p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::563018b68769950d62c9d16cd23a88f0
https://doi.org/10.1007/s11075-016-0234-4
https://doi.org/10.1007/s11075-016-0234-4
Publikováno v:
BIT Numerical Mathematics. 56:543-556
Based on the Hermitian and skew-Hermitian splitting (HSS), we come up with a generalized HSS iteration method with a flexible shift-parameter for solving the non-Hermitian positive definite system of linear equations. This iteration method utilizes t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::11416a48af4fb9be2ecd861f28db411c
https://doi.org/10.1007/s10543-015-0584-7
https://doi.org/10.1007/s10543-015-0584-7
Autor:
Guo-Yan Meng, Rui-Ping Wen
Publikováno v:
Journal of Mathematical Study. 48:18-29
In this paper, we consider a self-adaptive extrapolated Gauss-Seidel method for solving the Hermitian positive definite linear systems. Based on optimization mod- els, self-adaptive optimal factor is given. Moreover, we prove the convergence of the s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f6b2d3e7839510d71df0451a7be0e8d1
https://doi.org/10.4208/jms.v48n1.15.02
https://doi.org/10.4208/jms.v48n1.15.02
Autor:
Guo-Yan Meng
Publikováno v:
Applied Mathematics and Computation. 242:707-715
This paper presents a practical asymptotical optimal successive over-relaxation (SOR) method for solving the large sparse linear system. Based on two optimization models, asymptotically optimal relaxation factors are given, which are computed by solv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4df84865527bc4ae5ce4e14e0bea12a0
https://doi.org/10.1016/j.amc.2014.06.034
https://doi.org/10.1016/j.amc.2014.06.034
Publikováno v:
Journal of Computational Mathematics. 32:284-296
In this paper, we present a parallel quasi-Chebyshev acceleration applied to the nonoverlapping multisplitting iterative method for the linear systems when the coefficient matrix is either an H-matrix or a symmetric positive definite matrix. First, m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7fcde87b589e42e63145da515310662b
https://doi.org/10.4208/jcm.1401-cr1
https://doi.org/10.4208/jcm.1401-cr1
Autor:
Chuan-Long Wang, Guo-Yan Meng
Publikováno v:
Applied Mathematics Letters. 26:1065-1069
In this work, we propose a new parallel multisplitting iterative method for non-symmetric positive definite linear systems. Based on optimization theory, the new method has two great improvements; one is that only one splitting needs to be convergent
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8f145f981627b6cd44f7dd991329a4c4
https://doi.org/10.1016/j.aml.2013.05.018
https://doi.org/10.1016/j.aml.2013.05.018
Publikováno v:
Computers & Mathematics with Applications. 66:934-942
In this paper, we present a quasi-Chebyshev accelerated iteration method for solving a system of linear equations. Compared with the Chebyshev semi-iterative method, the main difference is that the parameter ω is not obtained by a Chebyshev polynomi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e3a9bcc526386eff476fe42a8a4e3a31
https://doi.org/10.1016/j.camwa.2013.06.016
https://doi.org/10.1016/j.camwa.2013.06.016
Publikováno v:
Advances in Computational Mathematics. 39:257-271
We present two practical convergent splittings for solving a non-Hermitian positive definite system. By these new splittings and optimization models, we derive three new improved Chebyshev semi-iterative methods and discuss convergence of these metho
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3b4fb27799146082cdad183c0e3b419a
https://doi.org/10.1007/s10444-012-9278-8
https://doi.org/10.1007/s10444-012-9278-8