On Hermitian positive definite solutions of matrix equation X+A*X-2A = I

被引：33
作者：
Zhang, YH [1 ]
机构：
[1] Shandong Univ, Sch Math & Syst Sci, Jinan 250100, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2003年 / 372卷
关键词：
matrix equation; positive definite solution; iterative method;
D O I：
10.1016/S0024-3795(03)00530-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Hermitian positive definite solutions of the matrix equation X + A*X(-2)A = I are studied. A necessary and sufficient condition for existence of solutions is given in case A is normal. The basic fixed point iterations for the equation in case A is normornial with parallel toAparallel to less than or equal to 2/3root3 are discussed in some detail. Some of Ivanov's, Hasanov's and Minchev's results in [Linear Algebra Appl. 326 (2001) 27] are improved. (C) 2003 Elsevier Inc. All rights reserved.
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页码：295 / 304
页数：10
相关论文
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  • [2] Hassanov, 2001, LECT NOTES COMPUT SC, P377
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    Hasanov, VI
    Minchev, BV
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2001, 326 (1-3) : 27 - 44
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    Ivanov, IG
    El-Sayed, SM
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1998, 279 (1-3) : 303 - 316
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