矩阵方程X=Q+A~*(I_mX-C)~(-1)A的Hermitian正定解Hermitian positive definite solution of the matrix equation X=Q+A~*(I_mX-C)~(-1)A
姚国柱;段雪峰;廖安平;
摘要(Abstract)：
研究了一类来源于插值理论的非线性矩阵方程.利用Kronecker积的性质以及Banach空间单调有界序列收敛原理证明了此类方程正定解的存在唯一性.另外也给出了此方程正定解的范围.
关键词(KeyWords)： 非线性矩阵方程;正定解;插值理论
基金项目(Foundation): 湖南省自然科学基金(09JJ6012)
作者(Authors): 姚国柱;段雪峰;廖安平;
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