A convergence criterion for Secant method with approximate zeros

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Abstract

We estimate the speed of convergence of Secant method in one variable and multivariable case with a constant from the coefficients of Taylor series. We present a criterion to confirm that z is close enough to a zero for Secant method and compare with that of Newton method.

Original languageEnglish
Pages (from-to)575-588
Number of pages14
JournalJournal of Applied Mathematics and Computing
Volume6
Issue number3
DOIs
StatePublished - Sep 1999

Keywords

  • Approximate zeros
  • Newton method
  • Secant method

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