TY - JOUR T1 - Dynamical system method for solving ill-posed operator equations AU - X. Luo & S. Yang JO - Numerical Mathematics, a Journal of Chinese Universities VL - 1 SP - 54 EP - 62 PY - 2007 DA - 2007/02 SN - 16 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/nm/10078.html KW - AB - Two dynamical system methods are studied for solving linear ill-posed problems with both operator and right-hand nonexact. The methods solve a Cauchy problem for a linear operator equation which possesses a global solution. The limit of the global solution at infinity solves the original linear equation. Moreover, we also present a convergent iterative process for solving the Cauchy problem.