An Optimally Generalized Steepest-Descent Algorithm for Solving Ill-Posed Linear Systems

It is known that the steepest-descent method converges normally at the first few iterations, and then it slows down. We modify the original steplength and descent direction by an optimization argument with the new steplength as being a merit function to be maximized. An optimal iterative algorithm w...

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Bibliographic Details
Main Author: Chein-Shan Liu
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/154358