论文摘要
为了高效地求解大型稀疏非Hermitian正定线性方程组,在白中治、Golub和Ng提出的Hermitian和反Hermitian分裂(HSS)迭代法的基础上,通过引入新的参数并结合迭代法的松弛技术,对HSS迭代方法进行加速,提出了一种新的外推的HSS迭代方法(EHSS),并研究了该方法的收敛性.数值例子表明:通过参数值的选择,新方法比HSS方法具有更快的收敛速度和更少的迭代次数,选择了合适的参数值后,可以提高HSS方法的收敛效率.
论文目录
文章来源
类型: 期刊论文
作者: 潘春平,王红玉,曹文方
关键词: 迭代方法,交替迭代,方法,非矩阵
来源: 计算数学 2019年01期
年度: 2019
分类: 基础科学
专业: 数学
单位: 浙江工业职业技术学院人文社科部
基金: 浙江省教育厅高校访问学者教师专业发展项目资助(FX2017116)
分类号: O241.6
页码: 52-65
总页数: 14
文件大小: 580K
下载量: 73
相关论文文献
- [1].Quantum speed limit time of a non-Hermitian two-level system[J]. Chinese Physics B 2020(03)
- [2].Topological Anderson insulator in two-dimensional non-Hermitian systems[J]. Chinese Physics B 2020(05)
- [3].The limiting behaviour of the Hermitian-Yang-Mills flow over compact non-K?hler manifolds[J]. Science China(Mathematics) 2020(07)
- [4].Special modes induced by inter-chain coupling in a non-Hermitian ladder system[J]. Communications in Theoretical Physics 2020(10)
- [5].Photon Coalescence in a Lossy Non-Hermitian Beam Splitter[J]. Chinese Physics Letters 2020(08)
- [6].迭代求解非Hermitian正定线性方程组的衍生多分裂方法(英文)[J]. 应用数学 2018(01)
- [7].Non-Hermitian lattices with a flat band and polynomial power increase [Invited][J]. Photonics Research 2018(04)
- [8].On Compact Hermitian Manifolds with Flat Gauduchon Connections[J]. Acta Mathematica Sinica 2018(08)
- [9].Eventual Positivity of Hermitian Polynomials and Integral Operators[J]. Chinese Annals of Mathematics(Series B) 2016(01)
- [10].Nonpositively Curved Almost Hermitian Metrics on Product of Compact Almost Complex Manifolds[J]. Acta Mathematica Sinica 2015(01)
- [11].Optimization Problems of the Rank and Inertia Corresponding to a Hermitian Least-Squares Problem[J]. Wuhan University Journal of Natural Sciences 2015(02)
- [12].Eventual Positivity of Hermitian Algebraic Functions and Associated Integral Operators[J]. Chinese Annals of Mathematics,Series B 2020(06)
- [13].HERMITIAN-EINSTEIN METRICS FOR HIGGS BUNDLES OVER COMPLETE HERMITIAN MANIFOLDS[J]. Acta Mathematica Scientia 2020(01)
- [14].Dispersive non-Hermitian optical heterostructures[J]. Photonics Research 2018(04)
- [15].Curvature identities on almost Hermitian manifolds and applications[J]. Science China(Mathematics) 2017(02)
- [16].一个四元数矩阵方程组的η-Hermitian解[J]. 上海大学学报(自然科学版) 2013(06)
- [17].Matrix Algebras in Non-Hermitian Quantum Mechanics[J]. Communications in Theoretical Physics 2011(07)
- [18].4阶非Hermitian哈密尔顿系统的谱[J]. 南华大学学报(自然科学版) 2013(04)
- [19].Partial energies monotonicity and holomorphicity of Hermitian pluriharmonic maps[J]. Science China(Mathematics) 2013(05)
- [20].Comparison of Different Approaches of Finding the Positive Definite Metric in Pseudo-Hermitian Theories[J]. Communications in Theoretical Physics 2013(05)
- [21].The U-Kenmotsu Hypersurfaces Axiom and Six-Dimensional Hermitian Submanifolds of Cayley Algebra[J]. 四川理工学院学报(自然科学版) 2013(03)
- [22].On the Hermitian Positive Definite Solutions of the Nonlinear Matrix Equation X~s-A~*X~(-t)A=Q with Perturbation Estimates[J]. Journal of Mathematical Research with Applications 2013(06)
- [23].Hermitian Generalization of the Rarita-Schwinger Operators[J]. Acta Mathematica Sinica(English Series) 2010(02)
- [24].Harmonic maps between compact Hermitian manifolds[J]. Science in China(Series A:Mathematics) 2008(12)
- [25].Several splittings for non-Hermitian linear systems[J]. Science in China(Series A:Mathematics) 2008(08)
- [26].Hermitian Yang–Mills Metrics on Higgs Bundles over Asymptotically Cylindrical K?hler Manifolds[J]. Acta Mathematica Sinica 2019(07)
- [27].基于Hermitian小波有限元的叶轮叶片载荷识别[J]. 振动与冲击 2018(10)
- [28].Lower bounds on the minimum distance in Hermitian one-point differential codes[J]. Science China(Mathematics) 2013(07)
- [29].Minimal circumscribed Hermitian ellipsoid of Hartogs domains and an application to an extremal problem[J]. Science in China(Series A:Mathematics) 2009(08)
- [30].Nullity of Hermitian-Adjacency Matrices of Mixed Graphs[J]. Journal of Mathematical Research with Applications 2018(01)