The Grand Four: Affine Invariant Globalizations of Newton's Method

被引：4
|
作者：
Deuflhard, Peter [1 ]
机构：
[1] Zuse Inst Berlin, Berlin, Germany
来源：
VIETNAM JOURNAL OF MATHEMATICS | 2018年 / 46卷 / 04期
关键词：
Global Newton methods; Affine invariance; Natural level function; Pseudo-continuation method;
D O I：
10.1007/s10013-018-0301-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper gives a concise synopsis and some new insights concerning four affine invariant globalizations of the local Newton method. The invariance classes include affine covariance, affine contravariance, affine conjugacy, and affine similarity. In view of algorithmic robustness, each of these classes of algorithms is particularly suitable for some corresponding problem class.
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页码：761 / 777
页数：17
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