Utilization of ordered chebyshev parameters in iterative methods
β Scribed by V.I. Lebedev; S.A. Finogenov
- Publisher
- Elsevier Science
- Year
- 1976
- Weight
- 931 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0041-5553
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In [A. Melman, Geometry and convergence of Euler's and Halley's methods, SIAM Rev. 39(4) (1997) 728-735] the geometry and global convergence of Euler's and Halley's methods was studied. Now we complete Melman's paper by considering other classical third-order method: Chebyshev's method. By using the
In this work, we develop a new two-parameter family of iterative methods for solving nonlinear scalar equations. One of the parameters is defined through an infinite power series consisting of real coefficients while the other parameter is a real number. The methods of the family are fourth-order co