Extremum of second-order directional derivatives

被引：0

作者：

L Guixia WU Hao SHEN Longjun National Key Laboratory of Science and Technology on Computational PhysicsInstitute of Applied Physics and Computational MathematicsBeijing China ^{[100088
]}

机构：

来源：

AppliedMathematics:AJournalofChineseUniversities(SeriesB) | 2011年 / 26卷 / 04期

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暂无

中图分类号：

O172.1 [微分学];

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摘要：

In this paper,the extremum of second-order directional derivatives,i.e.the gradient of first-order derivatives is discussed.Given second-order directional derivatives in three nonparallel directions,or given second-order directional derivatives and mixed directional derivatives in two nonparallel directions,the formulae for the extremum of second-order directional derivatives are derived,and the directions corresponding to maximum and minimum are perpendicular to each other.

引用

页码：379 / 389

页数：11

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