A convergence criterion for Secant method with approximate zeros

S. Kim

doi:10.1007/bf03009950

A convergence criterion for Secant method with approximate zeros

S. Kim

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	575-588
Number of pages	14
Journal	Journal of Applied Mathematics and Computing
Volume	6
Issue number	3
DOIs	https://doi.org/10.1007/bf03009950
State	Published - 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

Keywords

Approximate zeros
Newton method
Secant method

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10.1007/bf03009950

Cite this

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title = "A convergence criterion for Secant method with approximate zeros",

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.",

keywords = "Approximate zeros, Newton method, Secant method",

author = "S. Kim",

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{\textquoteright}s University Research Fund. {\textcopyright}c 1999 Korean Society for Computational & Applied Mathematics amd Korean SIGCOAM",

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N1 - 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

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N2 - 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.

AB - 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.

KW - Approximate zeros

KW - Newton method

KW - Secant method

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DO - 10.1007/bf03009950

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JF - Journal of Applied Mathematics and Computing

IS - 3

ER -

A convergence criterion for Secant method with approximate zeros

Abstract

Bibliographical note

Keywords

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