Acta mathematica scientia,Series A ›› 2022, Vol. 42 ›› Issue (3): 818-825.
Previous Articles Next Articles
Wenli Zheng,Jia Tang*(),Cairong Chen
Received:
2021-08-23
Online:
2022-06-26
Published:
2022-05-09
Contact:
Jia Tang
E-mail:tang_jia@126.com
Supported by:
CLC Number:
Wenli Zheng,Jia Tang,Cairong Chen. A Dynamic Model for a Class of New Generalized Absolute Value Equations[J].Acta mathematica scientia,Series A, 2022, 42(3): 818-825.
Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks
1 |
Bai Z Z . Modulus-based matrix splitting iteration methods for linear complementarity problems. Numerical Linear Algebra with Applications, 2010, 17, 917- 933
doi: 10.1002/nla.680 |
2 | Cottle R W , Pang J S , Stone R E . The Linear Complementarity Problem. Boston: Academic Press, 1992 |
3 |
Chen C R , Yang Y N , Yu D M , et al. An inverse-free dynamical system for solving the absolute value equations. Applied Numerical Mathematics, 2021, 168, 170- 181
doi: 10.1016/j.apnum.2021.06.002 |
4 |
Gao X B , Wang J . Analysis and application of a one-layer neural network for solving horizontal linear complementarity problems. International Journal of Computational Intelligence Systems, 2014, 7 (4): 724- 732
doi: 10.1080/18756891.2013.858903 |
5 |
He B S . Inexact implicit methods for monotone general variational inequalities. Mathematical Programming, 1999, 86 (1): 199- 217
doi: 10.1007/s101070050086 |
6 | Khalil H K . Nonlinear Systems. Michigan: Prentice-Hall, 1996 |
7 | Kinderlehrer D , Stampcchia G . An Introduction to Variational Inequalities and Their Applications. New York: Academic Press, 1980 |
8 |
Mangasarian O L . Absolute value programming. Computational Optimization and Applications, 2007, 36 (1): 43- 53
doi: 10.1007/s10589-006-0395-5 |
9 |
Mansoori A , Erfanian M . A dynamic model to solve the absolute value equation. Journal Computational and Applied Mathematics, 2018, 333, 28- 35
doi: 10.1016/j.cam.2017.09.032 |
10 | Mangasarian O L , Meyer R R . Absolute value equations. Linear Algebra and Applications, 2006, 419 (2/3): 359- 367 |
11 |
Prokopyev O . On equivalent reformulations for absolute value equations. Computational Optimization and Applications, 2009, 44 (3): 363- 372
doi: 10.1007/s10589-007-9158-1 |
12 |
Rohn J . A theorem of the alternatives for the equation $Ax+B|x|=b$. Linear Multilinear Algebra, 2004, 52 (6): 421- 426
doi: 10.1080/0308108042000220686 |
13 |
Rohn J . Systems of linear interval equations. Linear Algebra and Applications, 1989, 126, 39- 78
doi: 10.1016/0024-3795(89)90004-9 |
14 | Wu S L . The unique solution of a class of the new generalized absolute value equation. Applied Mathematics Letters, 2021, 116 (1): 107029 |
15 |
Wu S L , Li C X . A class of new modulus-based matrix splitting methods for linear complementarity problem. Optimization Letters, 2021,
doi: 10.1007/s11590-021-01781-6 |
[1] | Yue Xu,Xiaoling Han. Mathematical Modeling and Dynamic Analysis of Echinococcosis Transmission in Tibet Autonomous Region [J]. Acta mathematica scientia,Series A, 2023, 43(2): 646-656. |
[2] | Qinhong Fu,Lianglin Xiong,Haiyang Zhang,Ya Qin,Shenai Quan. Sliding Mode Control for Time-Varying Delay Systems with Semi-Markov Jump [J]. Acta mathematica scientia,Series A, 2023, 43(2): 549-562. |
[3] | Lili Liu,Honggang Wang,Yazhi Li. A Generalized HBV Diffusive Model with DNA-Containing Capsids and Cell-Cell Infection [J]. Acta mathematica scientia,Series A, 2023, 43(2): 604-624. |
[4] | Huijuan Song, Qian Huang, Zejia Wang. Asymptotic Analysis of a Tumor Model with Angiogenesis and a Periodic Supply of External Nutrients [J]. Acta mathematica scientia,Series A, 2023, 43(1): 261-273. |
[5] | Bo Li,Ziwei Liang. Stability of Stage-Structured Predator-Prey Models with Beddington-DeAngelis Functional Response [J]. Acta mathematica scientia,Series A, 2022, 42(6): 1826-1835. |
[6] | Mingting Wang,Guanghui Yang,Hui Yang. Stability of Weak NS Equilibria for Population Games with Uncertain Parameters Under Bounded Rationality [J]. Acta mathematica scientia,Series A, 2022, 42(6): 1812-1825. |
[7] | Yajun Xie,Changfeng Ma. Algorithm with Order m + 1 Convergence for Weakly Nonlinear Complementarity Problems Derived From the Discretization of Free Boundary Problems [J]. Acta mathematica scientia,Series A, 2022, 42(5): 1506-1516. |
[8] | Zhanping Ma,Haifeng Huo,Hong Xiang. Dynamics and Patterns for a Diffusive Leslie-Gower Predator-Prey Model with Michaelis-Menten Type Harvesting in Prey [J]. Acta mathematica scientia,Series A, 2022, 42(5): 1575-1591. |
[9] | Meng Deng,Rui Xu. Stability Analysis of an HIV Infection Dynamic Model with CTL Immune Response and Immune Impairment [J]. Acta mathematica scientia,Series A, 2022, 42(5): 1592-1600. |
[10] | Hongxing Wu,Dengbin Yuan,Shenghua Wang. Asymptotic Stability Analysis of Solutions to Transport Equations in Structured Bacterial Population Growth [J]. Acta mathematica scientia,Series A, 2022, 42(3): 807-817. |
[11] | Changfeng Ma,Feiyang Ma. The Improved Convergence Theorems of Modulus-Based Matrix Splitting Iteration Methods for a Class of Nonlinear Complementarity Problems with H-Matrices [J]. Acta mathematica scientia,Series A, 2022, 42(2): 583-593. |
[12] | Tong Zhao,Hailong Yuan,Gaihui Guo. Positive Solutions of a Predator-Prey Model with Modified Leslie-Gower Type [J]. Acta mathematica scientia,Series A, 2022, 42(1): 176-186. |
[13] | Jing Zeng,Ruiting Hu. Stability of Benson Proper Efficient Solutions for Vector Optimization Problems [J]. Acta mathematica scientia,Series A, 2022, 42(1): 35-44. |
[14] | Jiang Li,Guijie Lan,Shuwen Zhang,Chunjin Wei. Dynamics Analysis of a Stochastic Glucose-Insulin Model [J]. Acta mathematica scientia,Series A, 2021, 41(6): 1937-1949. |
[15] | Dandan Sun,Yingke Li,Zhidong Teng,Tailei Zhang. Analysis of the Stability for Measles Epidemic Model with Age-Structured [J]. Acta mathematica scientia,Series A, 2021, 41(6): 1950-1968. |
|