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by Jovana Dzunic, Ljiljana Petkovic, Beny Neta, Miodrag Petkovic
MULTIPOINT METHODS FOR SOLVING NONLINEAR EQUATIONS
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Preface
Chapter 1. Basic concepts
1.1 Classification of iterative methods
1.2 Order of convergence
1.3 Computational efficiency of iterative methods
1.4 Initial approximations
1.5 One-point iterative methods for simple zeros
1.6 Methods for determining multiple zeros
1.7 Stopping criterion
References
Chapter 2. Two-point methods
2.1 Cubically convergent two-point methods
2.2 Ostrowski’s fourth-order method and its generalizations
2.3 Family of optimal two-point methods
2.4 Optimal derivative free two-point methods
2.5 Kung-Traub’s multipoint methods
2.6 Optimal two-point methods of Jarratt’s type
2.7 Two-point methods for multiple roots
References
Chapter 3. Three-point non-optimal methods
3.1 Some historical notes
3.2 Methods for constructing sixth-order root-finders
3.3 Ostrowski-like methods of sixth order
3.4 Jarratt-like methods of sixth order
3.5 Other non-optimal three-point methods
References
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Multipoint Methods For Solving Nonlinear Equations
Miodrag S. Petković
Beny Neta
Ljiljana D. Petković
Jovana Džunić
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