井冈山大学学报(自然科学版)
井岡山大學學報(自然科學版)
정강산대학학보(자연과학판)
JOURNAL OF JINGGANGSHAN UNIVERSITY(SCIENCE AND TECHNOLOGY)
2013年
2期
25-27
,共3页
广义线性互补问题%绝对值方程%极大熵%牛顿算法
廣義線性互補問題%絕對值方程%極大熵%牛頓算法
엄의선성호보문제%절대치방정%겁대적%우돈산법
generalized linear complementarity problem%absolute value equations%maximum entropy%Newton method
借助一类特殊的绝对值方程,将广义线性互补问题等价转化为非线性方程组.基于极大熵函数,提出了一个牛顿算法,证明了算法的局部收敛性.数值结果也验证了算法的有效性.
藉助一類特殊的絕對值方程,將廣義線性互補問題等價轉化為非線性方程組.基于極大熵函數,提齣瞭一箇牛頓算法,證明瞭算法的跼部收斂性.數值結果也驗證瞭算法的有效性.
차조일류특수적절대치방정,장엄의선성호보문제등개전화위비선성방정조.기우겁대적함수,제출료일개우돈산법,증명료산법적국부수렴성.수치결과야험증료산법적유효성.
The generalized linear complementarity problem is converted to nonlinear equations by a specialized case of absolute value equations. Based on the maximum entropy function, the Newton method is established and the convergence of maximum entropy Newton method is studied. Numerical results imply that the algorithm is effective.