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    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/151282


    Title: Tracking local optimality for cost parameterized optimization problems
    Authors: 郭岳承
    Kuo, Yueh-Cheng;Lee, Tsung-Lin
    Contributors: 應數系
    Keywords: Continuation methods;Optimization problems;Bifurcation
    Date: 2014-02
    Issue Date: 2024-05-24 11:34:32 (UTC+8)
    Abstract: In this paper, a procedure for computing local optimal solution curves of the cost parameterized optimization problem is presented. We recast the problem to a parameterized nonlinear equation derived from its Lagrange function and show that the point where the positive definiteness of the projected Hessian matrix vanishes must be a bifurcation point on the solution curve of the equation. Based on this formulation, the local optimal curves can be traced by the continuation method, coupled with the testing of singularity of the Jacobian matrix. Using the proposed procedure, we successfully compute the energy diagram of rotating Bose–Einstein condensates.
    Relation: Computer Physics Communications, Vol.185, No.2, pp.572-577
    Data Type: article
    DOI link: https://doi.org/10.1016/j.cpc.2013.10.021
    DOI: 10.1016/j.cpc.2013.10.021
    Appears in Collections:[Department of Mathematical Sciences] Periodical Articles

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