Associativity of the Secant Method

نویسنده

  • Sam Northshield
چکیده

1. INTRODUCTION. This paper has its genesis in a problem the author first came upon while in college. Although the areas covered here are well travelled and nothing here is guaranteed original, it covers a pleasant nexus of many mathematical strands. Furthermore, we show the value of good notation and of reading an old master for solving a problem. Consider iterates of the function m (x) = 1 I 1/x. Starting at 1, we get the sequence

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عنوان ژورنال:
  • The American Mathematical Monthly

دوره 109  شماره 

صفحات  -

تاریخ انتشار 2002