Iteration Method for Solving Nonlinear Matrix Equation X-A*2m√(X-1) A =I

摘要：

Matrix equation problem is one of the topics of active research in the context of computational mathematics. The Hermitian positive definite solutions of a matrix equation play an important role in real applications. In this paper, we present the sufficient conditions for the existence of the positive definite solution to the nonlinear matrix equation X-A*2|D?ìX-1 A = I and propose a natural and stable iteration algorithm for obtaining a positive definite solution of this matrix equation. Finally, two numerical examples for the convergence behavior of the proposed algorithm are conducted to demonstrate the effectiveness.

关键词： nonlinear matrix equation Hermitian positive definite solution iteration method

作者: Haijuan Wang

作者单位: College of Computer and Information Engineering Hohai University Nanjing, 210098, China Department of Mathematics Tonghua Normal University Tonghua, 134002, China

会议类型: 国际会议

会议名称: The Fourth International Joint Conference on Computational Science and Optimization(第四届计算科学与优化国际大会 CSO 2011)

会议地点: 昆明、丽江

会议语种:英文

页码: 165-168

在线出版日期: 2011-04-15（万方平台首次上网日期，不代表论文的发表时间）