陳界山Jein-Shan Chen林子靖Tzu-Ching Lin2019-09-052009-6-242019-09-052009http://etds.lib.ntnu.edu.tw/cgi-bin/gs32/gsweb.cgi?o=dstdcdr&s=id=%22GN0696400181%22.&%22.id.&http://rportal.lib.ntnu.edu.tw:80/handle/20.500.12235/101778我們提出廣義FB函數的一個平滑逼近,這裡的廣義FB函數將二次範數的FB函數推廣成p次範數(p大於1),而且建立一些適合的性質。運用平滑函數,我們將混合型互補問題轉化成解一系列的方程式。We present a smooth approximation for the generalized Fischer-Burmeister function where the 2-norm in the FB function is relaxed to a general p-norm (p > 1), and establish some favorable properties for it, for example, the Jacobian consistency. With the smoothing function, we transform the mixed complementarity problem (MCP) into solving a sequence of smooth system of equations.混合型互補問題廣義FB函數平滑逼近Mixed complementarity problemthe generalized FB functionsmoothing approximation運用廣義FB函數的平滑牛頓法解混合型互補問題A smoothing Newton method based on the generalized Fischer-Burmeister function for MCPs