一类下降算法及其全局收敛性
일류하강산법급기전국수렴성
A CLASS OF DESCENT METHODS AND ITS GLOBAL CONVERGENCE
  • 万方数据
    曲阜师范大学学报（自然科学版） 곡부사범대학학보（자연과학판）
    JOURNAL OF QUFU NORMAL UNIVERSITY (NATURAL SCIENCE EDITION)
    2000年 3期 4-6 ,共3页

    时贞军%孟令和%王震%仇永平

    시정군%맹령화%왕진%구영평

    下降算法%全局收敛性%无约束优化问题 下降算法%全跼收斂性%無約束優化問題
    하강산법%전국수렴성%무약속우화문제
    descent method%global convergence%unconstrained optimization
    提出一类无约束优化下降算法,证明了Armijo搜索和Wolfe搜索下的全局收敛性. 算法类似于共轭梯度法,但与其不同,它具有更宽的βk选取范围.
    제출일류무약속우화하강산법,증명료Armijo수색화Wolfe수색하적전국수렴성. 산법유사우공액제도법,단여기불동,타구유경관적βk선취범위.
    This paper presents a class of descent method for unconstrained optimization problem, and proves its global convergence under Armijo's line search and wolfe's line search. The method is similar to conjugate gradient method but different from it. The new method has an interval of βk.
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