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杨玉凤, 郭晓霞
杨玉凤, 郭晓霞. Krylov子空间法求解非对称代数Riccati方程[J]. 数值计算与计算机应用, 2022, 43(4): 447-456.
Yang Yufeng, Guo Xiaoxia. A KRYLOV SUBSPACE METHOD FOR THE NONSYMMETRIC ALGEBRAIC RICCATI EQUATION[J]. Journal on Numerica Methods and Computer Applications, 2022, 43(4): 447-456.
Yang Yufeng, Guo Xiaoxia
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[1] Lin Y, Simoncini V. A new subspace iteration method for the algebraic Riccati equation[J]. Numer. Linear Algebra with Appl, 2015, 22:26-47. [2] Cuo C H. Nonsymmetric algebraic Riccati equations and Winner-Hopf factorization for M-matrices[J]. SIAM J. Matrix Anal. Appl, 2001, 23:225-242. [3] Cuo C, Higham N. Iteration solution of a nonsymmetric algebraic Riccati equation[J]. SIAM J. Matrix Anal. Appl, 2007, 29:396-412. [4] Juang J. Existence of algebraic matrix Riccati equations arising in transport theory[J]. Linear Algebra Appl, 1995, 230:89-100. [5] Wang W G, Wang W C, and Li R C. Alternating directional doubling algorithm for M-Matrix algebraic Riccati equations[J]. SIAM J. Matrix Anal. Appl, 2012, 33(1):170-194. [6] Xue J G, Li R C. Highly accurate doubling algorithm for M-matrix algebraic Riccati equations[J]. Numer. Math., 2017, 135:733-767. [7] Liu C L, Xue J G, Li R C. Accurate numerical solution for shifted M-matrix algebraic Riccati equation[J]. Journal of Scientific Computiong, 2020, 84:15. [8] 徐树方. 控制论中的矩阵计算[M]. 北京:高等教育出版社, 2001:204-301. [9] Bai Z Z, Guo X X, Xu S F. Alternately linearized implicit iteration methods for the minimal nonnegative solutions of the nonsymmetric algebraic Riccati equations[J]. Numerical Linear Algebra with Applications, 2006, 13(8):655-674. [10] Guo C H, Laub A. On the iterative solution of a class of nonsymmetric algebraic Riccati equations[J]. SIAM J. Matrix Analy. Appl, 2000, 22:376-391. [11] Guo C H, Lancaster P. Analysis and modification of Newton s method for algebraic Riccati equations[J]. Math. Comp, 1998, 67:1089-1105. [12] Guo X X, Lin W W, Xu S F. A structure-preserving doubling algorithm for nonsysmmetric algebraic Riccati equation[J]. Numer. Math, 2006, 103(3):393-412. [13] Mconald J J, Nandi R, et al, M-Matrix and inverse M-matrix extensions[J]. Spec.Matrices, 2020, 8:186-203. [14] Berman A, Plemmons R J. Nonnegative matrices in the mathematical sciences[M]. Academic Press, 1979. [15] Varga R S. Matrix Iterative Analysis[M]. Prentice-Hall, Englewood Cliffs, NJ, 1962. [16] Meyer C D. Stochastic complementation, uncoupling Markov chains, and the theory of nearly reducible systems[J]. SIAM Rev, 1989, 31:240-272. |
[1] | 王淑娟, 郭晓霞. 关于非对称代数Riccati方程的ALI迭代算法收敛速率的讨论[J]. 数值计算与计算机应用, 2010, 31(1): 76-80. |
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