政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/27157
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    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/27157


    Title: Two-Phase Semi-Asynchronous Parallel Iterative Methods For The Symmetric Linear Complementarity Problems
    Authors: 楊建民;張泰生
    Yang,Jiann-Min;Chang, Tai-Sheng
    Date: 1992-09
    Issue Date: 2009-01-17 16:15:49 (UTC+8)
    Abstract: 在本文中，我們提出了一個在求解對稱線性互補問題上的二階段半非同步平行演算法。此
    　法的求解程序可分成一連串交互的兩個演算階段。在第一階段中，我們進行完全非同步的
    　演算，亦即，無論是各處理器在更新疊代解的次數上，或是各處理器之間的通訊次序上，
    　都完全沒有任何的限制；而在第二階段的演算中，我們僅執行一個簡單的線性搜索步驟。
    　此演算法大大地減少了因同步化及通訊上所產的冗額成本，因此增進了演算法的效率；而
    　且由於此法在更新疊代解的演算中，擷取了大部份最新的資訊，也因而加快了收斂速度。
    　至於在建立此法的收斂理論上，我們僅須對線性搜索範圍給予一微弱的限制，即可保證此
    　半非同步演算過程，終將收斂到線性互補問題的解。我們將此法在IBM 3090的機器上模擬
    　執行，並應用於求解一個由二次規劃所導出之對稱線性互補問題，其數值結果亦顯示出此
    　法優於一些同步的平行疊代法。
    　In this paper, we propose a two-phase semi-asynchronous parallel iterative
    　method for solving the symmetric linear complementarity problem. The solution
    　process is divided into 1st-phase and 2nd-phase alternatingly. In the 1st-
    　phase, we allow the process to be completely asynchronous. That is. the
    　computation for new iterate on separate processors and communication in
    　between them could be absolutely tree and chaotic. We impose essentially no
    　restrictions on the ordering and the number of times of such iterate updating
    　and information exchanging among processors. In the 2nd-phase. we simply
    　perform a line search. The method dramatically reduces the overhead arising
    　from synchronization and communication. Moreover, the process has always used
    　and taken advantage of the most recent information available, when updating
    　the iterate. Convergence of the overall scheme is established under a mild
    　restriction on the range of the line search. The method is simulated and
    　implemented on the IBM 3090 machine for solving the symmetric linear
    　complementarity problem arising from the constrained convex quadratic program.
    　Numerical results are also reported.
    Relation: 國立政治大學學報,65,595-612
    Data Type: article
    Appears in Collections:[Department of MIS] Periodical Articles

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