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矩阵方程X+A~*X^(-q)A=I(q>0)的Hermite正定解 被引量:28

THE HERMITIAN POSITIVE DEFINITE SOLUTIONS OF MATRIX EQUATION X + A~*X^(-q)A = I(q > 0)
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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.
出处 《计算数学》 CSCD 北大核心 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).
关键词 矩阵方程 HERMITE正定解 迭代解 收敛性 特征值 Matrix equation, Positive definite solution, Iterative method
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