摘要
讨论了矩阵方程X+A*X-nA=I在A为正定矩阵和酉矩阵时的正定解的存在性、唯一性、误差估计及存在正定解的必要条件,并且构造了数值求解的迭代方法.
This paper discusses the existence, uniqueness, error estimation of positive definite solution and necessary condition for the existence of positive definite solution, while A being the positive definite matrix and unitary matrix in the matrix equation X+A*X^-nA=I. It also constructs the iterative method of numerical value solution.
出处
《怀化学院学报》
2009年第5期32-34,共3页
Journal of Huaihua University
关键词
矩阵方程
正定解
迭代方法
matrix equation
positive definite solution
iterative method