An iterative algorithm for solving a finite-dimensional linear operator equation T(x) = f with applications

被引：6
|
作者：
Huang, Jianguo [1 ,2 ]
Nong, Liwei [3 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
[2] Shanghai Normal Univ, E Inst Shanghai Univ, Div Computat Sci, Shanghai, Peoples R China
[3] Nanning Prefectures Educ Coll, Dept Math, Guangxi 530001, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2010年 / 432卷 / 05期
关键词：
Iterative algorithms; Linear operator equations; Matrix equations; Convergence analysis; INVERSE EIGENVALUE PROBLEM; SYMMETRIC SOLUTION; MATRIX; AXB;
D O I：
10.1016/j.laa.2009.10.027
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper proposes an iterative algorithm for solving a general finite-dimensional linear operator equation T(x) = f and demonstrates that it will get the exact solution within a finite number of iteration steps. This algorithm unifies all the iterative methods in Huang et al. (2008) [3], Peng (2005) [7] and Peng and Peng (2006) [8] and provides an iterative method for solving an inverse problem related to Hermitian-generalized Hamiltonian matrices [2,12]. (C) 2009 Elsevier Inc. All rights reserved.
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页码：1176 / 1188
页数：13
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