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Extremum of second-order directional derivatives
  • 期刊名称:Appl. Math. J. Chinese Univ. Ser. B
  • 时间:0
  • 页码:379-389
  • 语言:英文
  • 分类:O171[理学—数学;理学—基础数学] TN911.73[电子电信—通信与信息系统;电子电信—信息与通信工程]
  • 作者机构:[1]National Key Laboratory of Science and Technology on Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China.
  • 相关基金:Supported by the National Natural Science Foundation of China (10871029, 11071025), the Foundation of CAEP (2010A0202010) and the Foundation of National Key Laboratory of Science and Technology on Computational Physics.
  • 相关项目:辐射扩散方程的自适应有限点方法
中文摘要:

在这份报纸,秒顺序的极值方向性的衍生物,即一阶的衍生物的坡度被讨论。在三个 nonparallel 方向给秒顺序方向性的衍生物,或给秒顺序方向性的衍生物并且在二个 nonparallel 方向混合方向性的衍生物,为秒顺序的极值的公式方向性的衍生物被导出,并且相应于最大值和最小的方向对对方垂直。

英文摘要:

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.

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