Preconditioned iterative methods for solving weighted linear least squares problems

• 作 者: SHEN Hai-long SHAO Xin-hui ZHA
• 机 构: College of Sciences,College of Information Science and Engineering
• 出 处: 应用数学和力学（英文版）
• 发表日期: 2004年期
• 关键词: preconditioner generalized accelerated overrelaxation (GAOR) method weighted lin
• 基金项目: 国家自然科学基金;the Fundamental Research Funds for the Central Universities

A class of preconditioned iterative methods,i.e.,preconditioned generalized accelerated overrelaxation (GAOR) methods,is proposed to solve linear systems based on a class of weighted linear least squares problems.The convergence and comparison results are obtained.The comparison results show that the convergence rate of the preconditioned iterative methods is better than that of the original methods.Furthermore,the effectiveness of the proposed methods is shown in the numerical experiment.