摘要
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.
A class of nonlinear matrix equation connected to interpolation theory is investigated.Making use of the Kronecker product and the convergent principle for the monotonic and bounded sequence in the Banach space,we prove the equation exists a unique positive definite solution.In addition,the range for the positive definite solution of the equation is presented.
出处
《纯粹数学与应用数学》
CSCD
2010年第2期257-261,共5页
Pure and Applied Mathematics
基金
湖南省自然科学基金(09JJ6012)
关键词
非线性矩阵方程
正定解
插值理论
nonlinear matrix equation
positive definite solution
interpolation theory
