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L. T. Watson, “Globally Convergent Homotopy Algorithms for Nonlinear Systems of Equations,” Nonlinear Dynamics, Vol. 1, No. 2, 1990, pp.143-191. doi:10.1007/BF01857785
has been cited by the following article:
TITLE: Homotopy Continuous Method for Weak Efficient Solution of Multiobjective Optimization Problem with Feasible Set Unbounded Condition
AUTHORS: Wei Xing, Boying Wu
KEYWORDS: Multiobjective Optimization Problem; Feasible Set Unbounded; Homotopy Continuous Method; Global Convergence
JOURNAL NAME: Applied Mathematics, Vol.3 No.7, June 21, 2012
ABSTRACT: In this paper, we propose a homotopy continuous method (HCM) for solving a weak efficient solution of multiobjective optimization problem (MOP) with feasible set unbounded condition, which is arising in Economical Distributions, Engineering Decisions, Resource Allocations and other field of mathematical economics and engineering problems. Under the suitable assumption, it is proved to globally converge to a weak efficient solution of (MOP), if its x-branch has no weak infinite solution.
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