Beong In Yun

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In this paper, using a hyperbolic tangent function tanhðbxÞ, b > 0, we develop a non-iterative method to estimate a root of an equation f(x) = 0. The problem of finding root is transformed to evaluating an integral, and thus we need not take account of choosing initial guess. The larger the value of b, the better the approximation to the root. Alternatively(More)
In this paper we propose a simple iterative method for finding a root of a nonlinear equation. It is shown that the new method, which does not require any derivatives, has a quadratic convergence order. In addition, one can find that a hybrid method combined with the noniterative method can further improve the convergence rate. To show the efficiency of the(More)
For finding a root of an equation f(x) = 0 on an interval (a, b), we develop an iterative method using the signum function and the trapezoidal rule for numerical integrations based on the recent work (Yun, Appl Math Comput 198:691–699, 2008). This method, so-called signum iteration method, depends only on the signum function ${\rm{sgn}}\left(f(x)\right)$(More)
Beong In Yun Department of Informatics and Statistics, Kunsan National University, Kunsan 573-701, Republic of korea Correspondence should be addressed to Beong In Yun, paulllyun@gmail.com Received 7 April 2011; Revised 31 May 2011; Accepted 29 June 2011 Academic Editor: Ch Tsitouras Copyright q 2011 Beong In Yun. This is an open access article distributed(More)