Title
The Regularized Newton Method for Multiobjective Optimization
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.
Year
DOI
Venue
2012
10.1109/CSO.2012.94
CSO
Keywords
Field
DocType
optimal point,compact level set,regularized newton method,multiobjective optimization,entire space,strong convexity property,vector convex function,original multiobjective optimization problem,level set,convex functions,convex programming,convergence,optimization,newton method,vectors
Mathematical optimization,Subderivative,Newton's method in optimization,Conic optimization,Proper convex function,Convex optimization,Mathematics,Convex analysis,Steffensen's method,Newton's method
Conference
Citations 
PageRank 
References 
0
0.34
3
Authors
2
Name
Order
Citations
PageRank
Zhijie Wang124.76
Sanming Liu232.56