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  5. ,ON HERMITIAN POSITIVE DEFINITE SOLUTIONS OF MATRIX EQUATION X - A*X-2A = I

,ON HERMITIAN POSITIVE DEFINITE SOLUTIONS OF MATRIX EQUATION X - A*X-2A = I

来源 :计算数学（英文版） | 被引量 : 0次 | 上传用户：z2901153
【摘 要】
：
The Hermitian positive definite solutions of thematrix equation X- A*X-2A = I are studied. A theorem for existence of solutions is given for every complex matri
【作 者】
：
Yu-hai Zhang 
【机 构】
：
School of Mathematics and System Sciences, Shandong University, Jinan 250100, China
【出 处】
：
计算数学（英文版）
【发表日期】
：
2005年4期
【关键词】
：
Matrix equation Positive definite solution Iterative methods. 
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The Hermitian positive definite solutions of thematrix equation X- A*X-2A = I are studied. A theorem for existence of solutions is given for every complex matrix A. A solution in case A is normal is given. The basic fixed point iterations for the equation are discussed in detail. Some convergence conditions of the basic fixed point iterations to approximate the solutions to the equation are given.
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