矩阵方程X+A~*X^(-q)A=I(q>0)的Hermite正定解  

THE HERMITIAN POSITIVE DEFINITE SOLUTIONS OF MATRIX EQUATION X + A~*X^(-q)A = I(q > 0)

作　　者：王进芳[1] 张玉海[1] 朱本仁[1] 

机构地区：[1]山东大学数学与系统科学学院,济南250100

出　　处：《计算数学》2004年第1期61-72,共12页Mathematica Numerica Sinica

基　　金：数学天元基金资助项目(A0324654).

摘　　要：We study the Hermitian positive definite solutions of the matrix equation X +A*X^-qA = I with q > 0. Some properties of the solutions and the basic fixed point iterations for the equation are also discussed in some detail. Some of results in [Linear Algebra Appl., 279 (1998), 303-316], [Linear Algebra Appl., 326 (2001),27-44] and [Linear Algebra Appl. 372 (2003), 295-304] are extended.We study the Hermitian positive definite solutions of the matrix equation X + A*X-qA = I with q > 0. Some properties of the solutions and the basic fixed point iterations for the equation are also discussed in some detail. Some of results in [Linear Algebra Appl., 279 (1998), 303-316], [Linear Algebra Appl, 326 (2001), 27-44] and [Linear Algebra Appl. 372 (2003), 295-304] are extended.

关 键 词：矩阵方程 HERMITE正定解 迭代解 收敛性 特征值 

分 类 号：O151.21[理学—数学]