4005

Автор(ы): 

Автор(ов): 

1

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

Newton's Method and Its Use in Optimization

Наименование источника: 

  • European Journal of Operational Research

Город: 

  • -

Издательство: 

  • -

Год издания: 

2007

Страницы: 

-
Аннотация
Newton's method is a basic tool in numerical analysis and numerous applications, including operations research and data mining. We survey the history of the method, its main ideas, convergence results, modifications, its global behavior. We focus on applications of the method for various classes of optimization problems, such as unconstrained minimization, equality constrained problems, convex programming and interior point methods. Some extensions (nonsmooth problems, continuous analog, Smale's results etc.) are discussed briefly, while some others (e.g. versions of the method to achieve global convergence) are addressed in more details.

Библиографическая ссылка: 

Поляк Б.Т. Newton's Method and Its Use in Optimization // European Journal of Operational Research. 2007. С. -.