| HIGHAM N J, KIM H M. Numerical Analysis of a Quadratic Matrix Equation[J]. IMA J Numer Anal, 2000, 20(4): 499-519. doi: 10.1093/imanum/20.4.499 |
| BAI Z Z, GAO Y H. Modified Bernoulli Iteration Methods for Quadratic Matrix Equation[J]. J Comput Math, 2007, 25(5): 498-511. |
| LONG J H, HU X Y, ZHANG L. Improved Newton's Method with Exact Line Searches to Solve Quadratic Matrix Equation[J]. J Comput Appl Math, 2008, 222(2): 645-654. doi: 10.1016/j.cam.2007.12.018 |
| KIM Y J, KIM H M. Diagonal Update Method for a Quadratic Matrix Equation[J]. Appl Math Comput, 2016, 283: 208-215. doi: 10.1016/j.amc.2016.02.016 |
| LIU L D. Perturbation Analysis of a Quadratic Matrix Equation Associated with an M-Matrix[J]. J Comput Appl Math, 2014, 260: 410-419. doi: 10.1016/j.cam.2013.10.011 |
| 蓝家新, 黄敬频, 王敏, 等.四元数矩阵方程AXB+CXD=E的M自共轭解[J].西南师范大学学报(自然科学版), 2019, 44(8): 1-6. |
| 苏仰锋, 张开军, 刘明李.二次矩阵方程最大最小解存在的充分条件[J].复旦学报(自然科学版), 2004, 43(3): 303-306. |
| 尤俊丽, 廖安平, 段雪峰.二次矩阵方程X2-bX-C=0的正定解[J].大学数学, 2012, 28(3): 101-103. |
| LU L Z, AHMED Z, GUAN J R. Numerical Methods for a Quadratic Matrix Equation with a Nonsingular M-Matrix[J]. Appl Math Lett, 2016, 52: 46-52. doi: 10.1016/j.aml.2015.08.006 |
| 周磊, 肖小庆, 孙婷婷.一类非线性系统状态的网络化估计方法[J].西南大学学报(自然科学版), 2018, 40(1): 149-156. |
| 姚合军.一类时延网络控制系统的有限时间镇定[J].西南大学学报(自然科学版), 2018, 40(7): 153-158. |
| VORONTSOV Y O, IKRAMOV K D. Numerical Algorithm for Solving Quadratic Matrix Equations of a Certain Class[J]. Comput Math Math Phy, 2014, 54(11): 1643-1646. doi: 10.1134/S0965542514110128 |
| ADAM M S I, DING J, HUANG Q L, et al. Solving a Class of Quadratic Matrix Equations[J]. Appl Math Lett, 2018, 82: 58-63. doi: 10.1016/j.aml.2018.02.017 |
| CHEN C R, LI R C, MA C F. Highly Accurate Doubling Algorithm for Quadratic Matrix Equation from Quasi-Birth-and-Death Process[J]. Linear Algebra Appl, 2019, 583: 1-45. doi: 10.1016/j.laa.2019.08.018 |
| 张千宏, 徐昌进.一个非线性差分方程组解的表现[J].西南师范大学学报(自然科学版), 2010, 35(4): 55-58. |
| 崔晓梅, 谭丽辉, 赵世佳.矩阵方程X-A*X-1A+B*X-2B=I正定解存在的充分条件[J].数学学报(中文版), 2014, 57(5): 973-980. |