Title
A decomposition algorithm for unconstrained optimization problems with partial derivative information
Abstract
In this paper we consider the problem of minimizing a nonlinear function using partial derivative knowledge. Namely, the objective function is such that its derivatives with respect to a pre-specified block of variables cannot be computed. To solve the problem we propose a block decomposition method that takes advantage of both derivative-free and derivative-based iterations to account for the features of the objective function. Under standard assumptions, we manage to prove global convergence of the method to stationary points of the problem.
Year
DOI
Venue
2012
10.1007/s11590-010-0270-2
Optimization Letters
Keywords
Field
DocType
Unconstrained optimization, Block decomposition method, Derivative-free iteration
Convergence (routing),Mathematical optimization,Nonlinear system,Decomposition method (constraint satisfaction),Partial derivative,Stationary point,Optimization problem,Mathematics,Decomposition
Journal
Volume
Issue
ISSN
6
3
1862-4480
Citations 
PageRank 
References 
0
0.34
4
Authors
2
Name
Order
Citations
PageRank
G. Liuzzi119517.16
A. Risi2282.88