Citation: | ZHANG Wen-zhi, HUANG Pei-yan. An Improved Precise Integration Method for Ill-Conditioned Algebraic Equations[J]. Applied Mathematics and Mechanics, 2013, 34(3): 235-239. doi: 10.3879/j.issn.1000-0887.2013.03.003 |
[1] |
Yu X, Loh N K, Miller W C.New recursive algorithm for solving linear algebraic equation[J]. Elec Lett , 1992, 28(22): 2069-2071.
|
[2] |
Kim H J, Choi K, Lee H B, Jung H K, Hahn S Y.A new algorithm for solving illconditioned linear systems[J]. IEEE Transactions on Magnetics , 1996, 32(3): 13731376.
|
[3] |
Brezinski C, RedivoZaglia M, Rodriguez G, Seatzu S.Extrapolation techniques for ill-conditioned linear systems[J]. Numer Math , 1998, 81(1): 1-29.
|
[4] |
邹积麟, 钱稼茹.病态方程的复合结构解法[J].清华大学学报(自然科学版), 2001, 41(4/5): 231-234.(ZOU Ji-lin,QIAN Jia-ru.Composite structure method for ill-conditioned linear equations[J]. Journal of Tsinghua University ( Science and Technology ), 2001, 41(4/5): 231-234.(in Chinese))
|
[5] |
WU Xin-yuan, SHAO Rong, ZHU Yi-ran.New iterative improvement of a solution for an ill-conditioned system of linear equations based on a linear dynamics system[J]. Computers and Mathematics With Applications , 2002, 44(8/9): 1109-1116.
|
[6] |
WU Xin-yuan, SHAO Rong, XUE Guo-he.Iterative refinement of solution with biparameter for solving ill-conditioned systems of linear algebraic equations[J]. Applied Mathematics and Computation , 2002, 131(2/3): 235-244.
|
[7] |
Kirsche A, Bockmann C.Rational approximations for ill-conditioned equation systems[J]. Applied Mathematics and Computation , 2005, 171(1): 385-397.
|
[8] |
史文谱, 刘迎曦, 褚京莲,郭淑红.求解线性方程组的一种新方法[J].计算力学学报, 2003, 20(6): 715-720.(SHI Wen-pu,LIU Ying-xi,CHU Jing-lian,GUO Shu-hong.New method in solving linear system of equations[J]. Chinese Journal of Computational Mechanics , 2003, 20(6): 715-720.(in Chinese))
|
[9] |
钟万勰.结构动力方程的精细时程积分法[J].大连理工大学学报, 1994, 34(2): 131-136.(ZHONG Wan-xie.On precise time-integration method for structural dynamics[J]. Journal of Dalian University of Technology , 1994, 34(2): 131-136.(in Chinese))
|
[10] |
Zhong W X, Williams F W.A precise time step integration method[J]. Journal of Mechanical Engineering Science , 1994, 209(6): 427-436.
|
[11] |
金承日, 吕万金.二阶双曲型方程的精细时程积分法[J].计算力学学报, 2003, 20(1): 113115.(JIN Cheng-ri,Lü Wan-jin.On precise timeintegration method for second order hyperbolic differential equations[J]. Chinese Journal of Computational Mechanics , 2003, 20(1): 113-115.(in Chinese))
|
[12] |
彭海军, 吴志刚.基于Fourier级数的时变周期系数Riccati微分方程精细积分[J].计算力学学报, 2009, 26(6): 772-777.(PENG Hai-jun, WU Zhi-gang.Solving time-varying periodic coefficient Riccati differential equations via Fourier series and precise integration method[J]. Chinese Journal of Computational Mechanics , 2009, 26(6): 772-777.(in Chinese))
|
[13] |
富明慧, 刘祚秋, 林敬华.一种广义精细积分法[J].力学学报, 2007, 39(5): 672677.(FU Ming-hui, LIU Zuo-qiu, LIN Jing-hua.A generalized precise time step integration method[J]. Chinese Journal of Theoretical and Applied Mechanics , 2007, 39(5): 672-677.(in Chinese))
|
[14] |
GU Yuan-xin, CHEN Biao-song, ZHANG Hong-wu, GUAN Zheng-qun.Precise time integration method with dimensional expanding for structural dynamic equations[J]. AIAA Journal , 2001, 39(12): 2394-2399.
|
[15] |
谭述君, 钟万勰.非齐次动力方程Duhamel项的精细积分法[J].力学学报, 2007, 39(3): 374-381.(TAN Shu-jun, ZHONG Wan-xie.Precise integration method for Duhamel terms arising from non-homogeneous dynamic systems[J]. Chinese Journal of Theoretical and Applied Mechanics , 2007, 39(3): 374-381.(in Chinese))
|
[16] |
富明慧, 张文志.病态代数方程的精细积分解法[J].计算力学学报, 2011, 28(4): 530-534.( FU Ming-hui, ZHANG Wen-zhi.Precise integration method for solving ill-conditioned algebraic equations[J]. Chinese Journal of Computational Mechanics , 2011, 28(4): 530-534.(in Chinese))
|