期刊文献+

非线性矩阵方程X+A~*X^(-1)A=I 被引量:1

Nonlinear Matrix Equation X+A~*X^(-1)A=I
下载PDF
导出
摘要 在给出非线性矩阵方程X+A*X-1A=I的迭代方法基础上,用了一种新的方法证明迭代公式的收敛性. In this paper, the convergence of the sequence generate from the iteration method is discussed, we introduce another method.
机构地区 东北林业大学
出处 《哈尔滨师范大学自然科学学报》 CAS 2012年第3期12-13,共2页 Natural Science Journal of Harbin Normal University
关键词 非线性矩阵方程 正定解 迭代法 Nonlinear matrix equation Positive definite solution Iteration method
  • 相关文献

参考文献6

  • 1Anderson W N, Morley T D,Trapp G E. Positive solutions to X=A-Bx^-1B· [J]. Lin. Alg. and Its Appl,1990,134:53 -62.
  • 2Zhan X. Computing the extremal positive definite solutions of a matrix equation[ J ]. SIAM J Sci Compute, 1996,17 : 1167 - 1174.
  • 3Engwerda J C, Ran A C M, Rijkeboer A L. Necessary and sufficient conditions for the existence of a position definite so- lution of the matrix equation X +A ·X^-1A = Q[J]. Linear Al- gebra Appl, 1993,186:255 - 275.
  • 4Salah M, El - sayed, Asmaa M. A! - Dblban. A new inversion free iteration for solving the equation X + A · X ^-1 A = Q I J ]. Comput. Math. App1,2005,181 : 148 - 156.
  • 5Salah M. El - sayed. An algorithm for computing positive defi- nite solutions of the nonlinear matrix equation X + A * X ^- 1A = 1[ J]. International Journal of Computer Mathematics, 2003 (80) : 1527 - 1534.
  • 6Cai Lixia. Xu Weiwei, Li Wen. Additive and multiplieative perturbation bounds for the Moore -Penrose inverse [ J ]. Line- ar Algebra and its Applications ,2011,434:480 -489.

同被引文献4

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部