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Title: Applying a Newton method to strictly convex separable network quadratic programs
Authors: Sun, J. 
Kuo, H.
Keywords: Network quadratic programming
Newton's method
Nonsmooth optimization
Penalty method
Piecewise quadratic programming
Issue Date: 1998
Citation: Sun, J.,Kuo, H. (1998). Applying a Newton method to strictly convex separable network quadratic programs. SIAM Journal on Optimization 8 (3) : 728-745. ScholarBank@NUS Repository.
Abstract: By introducing quadratic penalty terms, a strictly convex separable network quadratic program can be reduced to an unconstrained optimization problem whose objective is a continuously differentiable piecewise quadratic function. A recently developed nonsmooth version of Newton's method is applied to the reduced problem. The generalized Newton direction is computed by an iterative procedure which exploits the special network data structures that originated from the network simplex method. New features of the algorithm include the use of min-max bases and a dynamic strategy in computation of the Newton directions. Some preliminary computational results are presented. The results suggest the use of "warm start" instead of "cold start.".
Source Title: SIAM Journal on Optimization
ISSN: 10526234
Appears in Collections:Staff Publications

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