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Dynamical System Method for Solving Ill-Posed Operator Equations

Dynamical System Method for Solving Ill-Posed Operator Equations
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摘要 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. Two dynamical system methods are studied for solving linear in-posed problems with both operator and right-hand nonexact. The methods solve a Canchy 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 Canchy problem.
基金 Research was supported by the Jiang Xi Provincial Natural Science Foundation of China under Grant 0611005.
关键词 动力系统 算符方程 计算数学 线性问题 Ill-posed problems dynamical system method operator equations.
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参考文献7

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