M-MATRIX

作品数:34被引量:29H指数:3
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相关领域:理学更多>>
相关作者:袁泉赵娜朱心昆李云苍韩超更多>>
相关机构:重庆邮电大学迪肯大学昆明理工大学贵州教育学院更多>>
相关期刊:《Science Bulletin》《应用数学》《Control Theory and Technology》《Numerical Mathematics(Theory,Methods and Applications)》更多>>
相关基金:国家自然科学基金福建省教育厅科技项目更多>>
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Numerical Methods for a Class of Quadratic Matrix Equations
《应用数学》2024年第4期962-970,共9页GUAN Jinrui WANG Zhixin SHAO Rongxia 
Supported by the National Natural Science Foundation of China(12001395);the special fund for Science and Technology Innovation Teams of Shanxi Province(202204051002018);Research Project Supported by Shanxi Scholarship Council of China(2022-169);Graduate Education Innovation Project of Taiyuan Normal University(SYYJSYC-2314)。
Quadratic matrix equations arise in many elds of scienti c computing and engineering applications.In this paper,we consider a class of quadratic matrix equations.Under a certain condition,we rst prove the existence of...
关键词:Quadratic matrix equation M-MATRIX Minimal nonnegative solution Newton method Bernoulli method 
BANDED M-MATRIX SPLITTING PRECONDITIONER FOR RIESZ SPACE FRACTIONAL REACTION-DISPERSION EQUATION
《Journal of Computational Mathematics》2024年第2期372-389,共18页Shiping Tang Aili Yang Yujiang Wu 
supported by the National Natural Science Foundation of China(Grant No.12161030);by the Hainan Provincial Natural Science Foundation of China(Grant No.121RC537).
Based on the Crank-Nicolson and the weighted and shifted Grunwald operators,we present an implicit difference scheme for the Riesz space fractional reaction-dispersion equations and also analyze the stability and the ...
关键词:Riesz space fractional equations Toeplitz matrix conjugate gradient method Incomplete Cholesky decomposition Banded M-matrix splitting 
Stabilization of an uncertain multiple-oscillator system
《Control Theory and Technology》2022年第3期361-370,共10页Huawen Ye Chengkun Li Xianting Qi Jun Liu 
For a multiple-oscillator system that is subject to the uncertain gains ranging within compact sets,this paper presents a constructive stabilization design.Motivated by nested-saturation control methods,a nested contr...
关键词:STABILIZATION Uncertain multiple-oscillator systems M-matrix principle 
Monotonicity Correction for the Finite Element Method of Anisotropic Diffusion Problems被引量:1
《Communications in Computational Physics》2022年第5期1489-1524,共36页Boyang Yu Hongtao Yang Yonghai Li Guangwei Yuan 
supported by the Science Challenge Project(No.TZ2016002);the National Science Foundation of China(No.12071177,No.11971069).
We apply the monotonicity correction to thefinite element method for the anisotropic diffusion problems,including linear and quadraticfinite elements on triangular meshes.When formulating thefinite element schemes,we ...
关键词:Thefinite element method nonlinear M-matrix monotonicity correction positivity-preserving property two-point pair 
Highly Accurate Latouche-Ramaswami Logarithmic Reduction Algorithm for Quasi-Birth-and-Death Process
《Journal of Mathematical Study》2022年第2期180-194,共15页Guiding Gu Wang Li Ren-Cang Li 
National Natural Science Foundation of China(Grant Nos.11771100 and 12071332);NSF grant DMS-2009689;U-TA's Reserach Enhancement grant REP-270075;USDA grant 58-3070-0-006;NSF grants DMS-1719620 and DMS-2009689.
This paper is concerned with the quadratic matrix equation A_(0)+A_(1)X+A_(2)X^(2)=X where I-A_(0)-A_(1)-A_(2)is a regular M-matrix,i.e.,there exists an entrywise positive vector u such that(I-A_(0)-A_(1)-A_(2))u≥0 e...
关键词:Quadratic matrix equation M-MATRIX quasi-birth-and-death process minimal non-negative solution entrywise relative accuracy 
Optimality of Solution with Numerical Investigation for Coronavirus Epidemic Model被引量:2
《Computers, Materials & Continua》2021年第5期1713-1728,共16页Naveed Shahid Dumitru Baleanu Nauman Ahmed Tahira Sumbal Shaikh Ali Raza Muhammad Sajid Iqbal Muhammad Rafiq Muhammad Aziz-ur Rehman 
The novel coronavirus disease,coined as COVID-19,is a murderous and infectious disease initiated from Wuhan,China.This killer disease has taken a large number of lives around the world and its dynamics could not be co...
关键词:SPATIO-TEMPORAL advection diffusion explicit estimates auxiliary data M-MATRIX 
Variational formula for the stability of regime-switching diffusion processes被引量:1
《Science China Mathematics》2018年第4期659-676,共18页Jinghai Shao Lingdi Wang 
supported by National Natural Science Foundation of China (Grant Nos. 11301030, 11401169 and 11431014);Key Scientific Research Projects of Henan Province (Grant No. 16A110010)
The asymptotical stability in probability is studied for diffusion processes and regime-switching diffusion processes in this work. For diffusion processes, some criteria based on the integrability of the functionals ...
关键词:stability in probability regime-switching diffusions state-dependent M-matrix 
Some New Inequalities Involving the Hadamard Product of an M-matrix and Its Inverse
《Acta Mathematicae Applicatae Sinica》2017年第2期505-514,共10页Feng WANG Jian-xing ZHAO Chao-qian LI 
Supported by National Natural Science Foundations of China(11361074,11501141,11601473);CAS ’Light of West China’ Program
For the Hadamard product of an M-matrix and its inverse, some new lower bounds on the minimum eigenvalue are given. These bounds can improve considerably some previous results.
关键词:M-MATRIX Hadamard product minimum eigenvalue lower bounds 
New Alternately Linearized Implicit Iteration for M-matrix Algebraic Riccati Equations被引量:2
《Journal of Mathematical Study》2017年第1期54-64,共11页Jinrui Guan Linzhang Lu 
The authors would like to thank the anonymous referees and Prof.Ren-Cang Li for their kindly suggestions and comments,which greatly improved the original manuscript of this paper.This work was supported in part by National Natural Science Foundation of China(11671105);Natural Science Foundation of China(11401424).
Research on the theories and the efficient numerical methods of M-matrix algebraic Riccati equation(MARE)has become a hot topic in recent years due to its broad applications.In this paper,based on the alternately line...
关键词:M-matrix algebraic Riccati equation M-MATRIX ALI iteration method 
Preconditioned Iterative Method for Regular Splitting被引量:1
《Advances in Pure Mathematics》2017年第2期180-187,共8页Toshiyuki Kohno 
Several preconditioners are proposed for improving the convergence rate of the iterative method derived from splitting. In this paper, the comparison theorem of preconditioned iterative method for regular splitting is...
关键词:ITERATIVE METHOD SPLITTING PRECONDITIONER M-MATRIX 
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