Nonlinear Programming
Nonlinear Programming
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DOI：
10.1137/1012119
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发表时间：
1969
期刊：
影响因子：
--
通讯作者：
O. Mangasarian
中科院分区：
文献类型：
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作者：
O. Mangasarian
方法.第8章是关于无约束极小化算法的计算方面，并包含了一些更好的已知的无约束算法，如Cauchys最速下降法，Fletcher-Reeves方法，Davidon-Fletcher-Powell方法，Newtons方法，以及其他方法的描述。5个变量的数值例子表明，每一种方法都比上面列出的前一种方法需要更少的迭代次数。这本书以119项的相关参考书目结束。这本书是少数几本在理论和计算之间取得极好平衡的非线性规划书籍之一。计算方面强调顺序无约束的方法，作者在开发和测试中发挥了重要作用。强烈推荐个人和课堂学习。
methods. Chapter 8 is concerned with computational aspects of unconstrainedminimization algorithms and contains a description of some of the better knownunconstrained algorithms such as Cauchys method of steepest descent, Fletcher-Reeves method, Davidon-Fletcher-Powell method, Newtons method, as wellas other methods. A numerical example in 5 variables shows that each of themethods requires fewer iterations than its predecessor as listed above. The bookterminates with a pertinent bibliography of 119 items.This book is one of the few books in nonlinear programming that strikes anextremely good balance between theory and computation. The computationalaspect emphasizes the sequential unconstrained methods which the authorshave had a major role in developing and testing. It is highly recommended bothfor individual and classroom study.