DocumentCode
3062669
Title
The Regularized Newton Method for Multiobjective Optimization
Author
Wang, Zhijie ; Liu, Sanming
Author_Institution
Sch. of Electr. Eng., Shanghai Dianji Univ., Shanghai, China
fYear
2012
fDate
23-26 June 2012
Firstpage
394
Lastpage
398
Abstract
In this paper, we introduce the regularized Newton method for multiobjective optimization. The method does not scalarize the original multiobjective optimization problem. For any vector convex function, with a compact level set, the regularized Newton method generates a sequence that converges to the optimal points from any starting point. Moreover the regularized Newton method does not require strong convexity property in the entire space.
Keywords
Newton method; convex programming; vectors; multiobjective optimization; regularized Newton method; vector convex function; Convergence; Convex functions; Educational institutions; Level set; Newton method; Optimization; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
Computational Sciences and Optimization (CSO), 2012 Fifth International Joint Conference on
Conference_Location
Harbin
Print_ISBN
978-1-4673-1365-0
Type
conf
DOI
10.1109/CSO.2012.94
Filename
6274753
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