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Can I read Some variants of Hansen–Patrick method with third and fourth order convergence on EtoBox?
Some variants of Hansen–Patrick method with third and fourth order convergence by J.R. Sharma; R.K. Guha; Rajni Sharma is a Mathematics article available to read on EtoBox.
What is Some variants of Hansen–Patrick method with third and fourth order convergence about?
Based on Hansen-Patrick method [E. Hansen, M. Patrick, A family of root finding methods, Numer. Math. 27 (1977) 257-269], we derive a two-parameter family of methods for solving nonlinear equations. All the methods of the family have third-order convergence, except one which has the fourth-order convergence. In terms of computational cost, all these methods require evaluations of one function, one first derivative and one second derivative per iteration. Numerical examples are given to support that the methods thus obtained are competitive with other robust methods of similar kind. Moreover, it is shown by way of illustration that the present methods, particularly fourth-order method, are very effective in high precision computations.
Who reads Some variants of Hansen–Patrick method with third and fourth order convergence?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- J.R. Sharma; R.K. Guha; Rajni Sharma
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0096-3003)
- Published
- 2009
- Language
- EN
- Field
- Mathematics (Physical Sciences)