Holonomic gradient descent and its application to the Fisher-Bingham integral

Holonomic gradient descent and its application to the Fisher-Bingham integral
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DOI：
10.1016/j.aam.2011.03.001
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发表时间：
2011-09
期刊：
Adv. Appl. Math.
影响因子：
--
通讯作者：
Hiromasa Nakayama;Kenta Nishiyama;Masayuki Noro;Katsuyoshi Ohara;T. Sei;N. Takayama;Akimichi Takemura
Hiromasa Nakayama;Kenta Nishiyama;Masayuki Noro;Katsuyoshi Ohara;T. Sei;N. Takayama;Akimichi Takemura
中科院分区：
其他
文献类型：
--
作者：
Hiromasa Nakayama;Kenta Nishiyama;Masayuki Noro;Katsuyoshi Ohara;T. Sei;N. Takayama;Akimichi Takemura

文献摘要

相似文献

本文给出了一种求完整函数局部极值的新算法，并将其应用于方向统计中的球面Sn上的Fisher-Bingham积分。该方法利用完整系统的理论和算法。
We give a new algorithm to find local maxima and minima of a holonomic function and apply it for the Fisher–Bingham integral on the sphere Sn, which is used in the directional statistics. The method utilizes the theory and algorithms of holonomic systems.