A convergence criterion for Secant method with approximate zeros

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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
Issue number3
StatePublished - Sep 1999

Bibliographical note

Funding Information:
Received March 29, 1999. Revised May 12, 1999. Research supported by the Ministry of Education, BSRI-98-1430 and the MOST through Women’s University Research Fund. ©c 1999 Korean Society for Computational & Applied Mathematics amd Korean SIGCOAM


  • Approximate zeros
  • Newton method
  • Secant method


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