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A Trust Region Algorithm Using Curve-Linear Searching Direction for Unconstrained Optimization
Journal Title Journal of Computers
Journal Abbreviation jcp
Publisher Group Academy Publisher
Website http://ojs.academypublisher.com
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Title A Trust Region Algorithm Using Curve-Linear Searching Direction for Unconstrained Optimization
Authors Liu, Zai-ming; Yuan, Xiu-gui; Yang, Shu-ping
Abstract In the paper, aimed at the shortcoming of trust region method, we proposed a algorithm using negative curvature direction as its searching direction. The convergence of the algorithm was given. Furthermore, combing trust region method and curve-linear searching techniques, a trust region algorithm, using general curve-linear searching direction, was proposed. We proved its efficiency and feasibility. The algorithm has adjustability and can select or update its searching direction according to the iteration. This allows the algorithm that has the properties of curve-linear searching method and the global convergence of trust region method. Finally, we indicate that some searching directions of common methods can be as a special searching direction of the general method.
Publisher ACADEMY PUBLISHER
Date 2012-01-01
Source Journal of Computers Vol 7, No 1 (2012): Special Issue: Parallel Algorithms, Scheduling and Architectures
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