%0 Journal Article
%T HERMITIAN POSITIVE DEFINITE SOLUTIONS OF THE MATRIX EQUATION X+A^{*}X^{-q}A=Q(q\geq 1)<br>矩阵方程X+A^{*}X^{-q}A=Q(q\geq 1)的Hermitian正定解
%A Liao Anping
%A <br>廖安平
%A 段雪峰
%A 沈金荣
%J 计算数学
%D 2008
%I 
%X The Hermitian positive definite solutions of the matrix equaution $X+A^{*}X^{-q}A=Q(q\geq 1)$ is investigated. Some sufficient conditions and necessary conditions for the existence of positive definite solutions are given. An iterative method for computing Hermitian positive definite solutions is proposed. Numerical examples are given to illustrate the performance and the effectiveness of the iterative method.
%K Matrix equation
%K Positive definite solution
%K Iterative method<br>矩阵方程
%K 正定解
%K 迭代方法
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=BDE2A852FF603043A9207F40B0B507DF&yid=67289AFF6305E306&vid=340AC2BF8E7AB4FD&iid=E158A972A605785F&sid=F7BB24011DC0D223&eid=73648F51F187AC5E&journal_id=0254-7791&journal_name=计算数学&referenced_num=2&reference_num=25