Smale's point estimate theory for Newton's method on Lie groups
نویسندگان
چکیده
The γ-condition Smale's point estimate theory a b s t r a c t We introduce the notion of the (one-parameter subgroup) γ-condition for a map f from a Lie group to its Lie algebra and establish α-theory and γ-theory for Newton's method for a map f satisfying this condition. Applications to analytic maps are provided, and Smale's α-theory and γ-theory are extended and developed. Examples arising from initial value problems on Lie group are presented to illustrate applications of our results.
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عنوان ژورنال:
- J. Complexity
دوره 25 شماره
صفحات -
تاریخ انتشار 2009