Eigenvalue Decomposition-Based Modified Newton Algorithm

When the Hessian matrix is not positive, the Newton direction may not be the descending direction. A new method named eigenvalue decomposition-based modified Newton algorithm is presented, which first takes the eigenvalue decomposition of the Hessian matrix, then replaces the negative eigenvalues wi...

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Bibliographic Details
Main Authors: Wen-jun Wang, Ju-bo Zhu, Xiao-jun Duan
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2013/523895