节点文献
关于补几何规划算法的收敛性
ON THE CONVERGENCE PROPERTY OF AN ALGORITHM FOR THE COMPLEMENTARY GEOMETRIC PROGRAMMING
【摘要】 <正> 几何规划是非线性规划的一个分支. Zener,Duffin与Peterson最初以几何平均≤算术平均这一著名的不等式为基础发展了一套研究正项几何规划
【Abstract】 For the solution of the standard complementary geometric programming min x1, (1) s. t. pm(x)/Qm(x)≤1 (m = 1,2,…,M) x > 0where Pm(x) and Qm(x)(m = 1, 2,…, M) are all posynomials of x = (x1,…,xn)T, analgorithm was given in [6]. Let x* be any limit point of the point sequence generated bythis algorithm, by assuming that one certain posynomial geometric programming associated withx* is superconsistent, we prove that x* is a Kuhn-Tucker point of (1).
- 【文献出处】 计算数学 ,Mathematica Numerica Sinica , 编辑部邮箱 ,1983年04期
- 【被引频次】1
- 【下载频次】30