Nonlinear Computational Methods of Quadratic Matrix Equations

摘要：

Motivated by the multi-splitting methods, we present two nonlinear multi-splitting algorithms for solving the quadratic matrix equation (QME). Under suitable conditions we then respectively prove the local linear and quadratic convergence of the two algorithms. Some numerical results are given to show the feasibility and effectiveness of our algorithms.

关键词： quadratic matrix equation parallel multi-splitting newton method integral mean-value theorem

作者: Xiao-Lin Lin Li Li

作者单位: Faculty of Science Shaanxi University Of Science & Technology Xian 710021, P.R.China Faculty of Science ihaanxi University Of Science & Technology Xian 710021, P.R.China

会议类型: 国际会议

会议名称: The 2010 International Conference on Computer Application and System Modeling(2010计算机应用与系统建模国际会议 ICCASM 2010)

会议地点: 太原

会议语种:英文

页码: 464-468

在线出版日期: 2010-10-22（万方平台首次上网日期，不代表论文的发表时间）