一种广义松弛正定反预处理求解非Hermitian鞍点问题

论文摘要

以常规的Krylov子空间算法为基础,引入参数,结合PSS方法与松弛正定反Hermitian分裂方法,构建松弛PSS预处理因子(RPSS),并在此基础上引入参数,优化RPSS,形成广义松弛预处理因子(GRPSS),对离散化系统鞍点问题进行分析。仿真结果表明本方法具有较快的收敛速度,能够在一定程度上改善非Hermitian鞍点问题解析速度,为相关工程学科提供辅助性决策依据。

论文目录

文章来源

类型: 期刊论文

作者: 耿丽芳

关键词: 非鞍点,广义松弛,预处理因子

来源: 成都工业学院学报 2019年03期

年度: 2019

分类: 工程科技Ⅱ辑,基础科学

专业: 数学

单位: 晋中师范高等专科学校数理科学系

分类号: O241.6

DOI: 10.13542/j.cnki.51-1747/tn.2019.03.013

页码: 58-60

总页数: 3

文件大小: 1524K

下载量: 15

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)

标签：非鞍点论文;  广义松弛论文;  预处理因子论文;