The Hermitian positive definite solution of the nonlinear matrix equation X2? + A*X-1A = Q

摘要：

In this paper,we study the nonlinear matrix equation X2m + A*X-1A = Q,where A is t? x n nonsingular real matrix and Q is n ×n HPD matrix.It is shown that the equation has a unique HPD solution under some conditions.Iterative algorithm for obtaining the HPD solution of the equation are proposed.Finally,numerical examples are reported to illustrate the effectiveness of algorithm.

关键词： Hermitian positive definite solution Nonlinear matrix equation Iterative algorithm

作者: Xindong Zhang Shuang Wang Qian Wang Fukang Gao

作者单位: College of Mathematics Sciences,Xinjiang Normal University,Urumqi,Xinjiang,830054,P.R.China

会议类型: 国际会议

会议名称: 2011 3rd International Conference on Computer and Network Technology(ICCNT 2011)(2011第三届IEEE计算机与网络技术国际会议)

会议地点: 太原

会议语种:英文

页码: 124-127

在线出版日期: 2011-02-26（万方平台首次上网日期，不代表论文的发表时间）