Indexed by:期刊论文
Date of Publication:2008-03-01
Journal:APPLIED MATHEMATICS AND COMPUTATION
Included Journals:SCIE、EI
Volume:196
Issue:2
Page Number:866-878
ISSN No.:0096-3003
Key Words:convex nonlinear programming; combined homotopy; path following algorithm; global convergence; polynomial-time algorithm
Abstract:In this paper, based on combined homotopy interior point method we propose an interior point algorithm for convex nonlinear programming. The algorithm ensures that the obtained iterative points are interior points of the feasible set in terms of the technique of beta-cone neighborhood. We establish the global convergence of the algorithm. Furthermore, it is shown that the algorithm has O(root nL) iteration complexity. The preliminary numerical experiments indicate that the algorithm is efficient. (C) 2007 Elsevier Inc. All rights reserved.
Professor
Supervisor of Doctorate Candidates
Supervisor of Master's Candidates
Gender:Male
Alma Mater:吉林大学
Degree:Doctoral Degree
School/Department:数学科学学院
Discipline:Computational Mathematics. Financial Mathematics and Actuarial Science
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