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...
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 ...
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...
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 ...
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...
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...
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 ...
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.
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...
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...