Landweber迭代正则化的加速

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Journal of Wuhan University of Technology ›› 2008, Vol. 30 ›› Issue (10) : 178-180.
管理工程与数学

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Acceleration of Landweber Method of Iterated RegularizationZONG Zhi-xiong,GAO Fei (School of Sciences,Wuhan University of Technology,Wuhan 430070,China)Landweber method of iterated regularization is effective for large scale ill-posed problems,but the convergence speed is too slow.In order to speed up the convergence speed,the each one step of the Landwber iteration is discomposed into the matrix computation and solution and a quick iteration scheme is given for the matrix computation.The relevant accelerated algorithm is given too.Numerical example proves that the accelerated algorithm can quicken convergence speed,reduce the calculation burden,and overcome the obstacle of application of Landweber method of iterated regularization.ill-posed problems;Landweber method of iterated regularization;iterative acceleration

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