Contemporary Algorithms: Theory and Applications Volume III

$230.00

Christopher I. Argyros – Researcher, Department of Computing and Mathematical Sciences, Cameron University, Lawton, Oklahoma, USA
Samundra Regmi – Researcher, Learning Commons, University of North Texas at Dallas, Dallas, TX, USA
Ioannis K. Argyros, PhD – Professor, Department of Computing and Mathematical Sciences, Cameron University, Lawton, Oklahoma, USA
Santhosh George, PhD – Department of Mathematical and Computational Sciences, National Institute of Technology, Karnataka, India

Series: Mathematics Research Developments
BISAC: MAT003000; MAT027000
DOI: https://doi.org/10.52305/BYUE0534:

The book provides different avenues to study algorithms. It also brings new techniques and methodologies to problem solving in computational Sciences, Engineering, Scientific Computing and Medicine (imaging, radiation therapy) to mention a few. A plethora of algorithms which are universally applicable is presented on a sound analytical way. The chapters are written independently of each other, so they can be understood without reading earlier chapters. But some knowledge of Analysis, Linear Algebra and some Computing experience is required. The organization and content of the book cater to senior undergraduate, graduate students, researchers, practitioners, professionals and academicians in the aforementioned disciplines. It can also be used as a reference book and includes numerous references and open problems.

Add to Wishlist
ISBN: N/A Categories: , , , , , , , ,

Table of Contents

1. Local Convergence for a Two-Step Third Order Secant-Like Method Without Bilinear Operators
1. Introduction
2. Convergence
References

2. Semi-Local Convergence for a Derivative Free Method with Error Controlled Iterates for Solving Nonlinear Equations
1. Introduction
2. Convergence of Majorizing Sequences
3. Convergence of Method (2.2)
References

3. On the Semi-Local Convergence of a Sharma-Gupta Fifth Order Method for Solving Nonlinear Equations
1. Introduction
2. Convergence
References

4. On the Semi-Local Convergence of a Seventh Order Method for Nonlinear Equations Convergence for a Seventh Order Method for Equations
1. Introduction
2. Semi-Local Convergence
References

5. On the Semi-Local Convergence of a Fifth Order Method for Solving Nonlinear Equations
1. Introduction
2. Sequences Majorizing Method (5.2)
3. Analysis for Method (5.2)
References

6. On the Semi-Local Convergence of a Fifth Order Efficient Method for Solving Nonlinear Equations
1. Introduction
2. Semi-Local Analysis
References

7. Improved Convergence of Derivative-Free Halley’s Scheme with Two Parameters
1. Introduction
2. Semi-Local Convergence I
3. Semi-Local Convergence Part 2
References

8. Extended Convergence for a Third Order Traub-Like Method with Parameter for Solving Equations
1. Introduction
2. Majorizing Sequence
3. Convergence of Method (8.3)
4. Numerical Experiments
References

9. Ball Convergence Comparison for Methods Whose First Step is Given by Newton’s for Solving Nonlinear Equations
1. Introduction
2. Ball Convergence
References

10. Extending The Convergence of a Steffensen-Like Method Without Derivatives for Solving Nonlinear Equations
1. Introduction
2. Majorizing Sequences
References

11. On the Semi-Local Convergence of a Fourth Order Derivative Free Two-Step Steffensen Method for Solving Equations
1. Introduction
2. Majorizing Sequences
3. Convergence for Method (11.2)
References

12. A Semi-Local Convergence for a Class of Fourth Order Method for Solving Equations
1. Introduction
2. Semi-Local Convergence
References

13. Local Convergence Comparison Between Two Competing Fifth Order Iterations
1. Introduction
2. Real Majorizing Function
3. Local Analysis
References

14. Semi-Local Convergence Analysis of High Convergence Order Iterations Under the Same Set of Conditions
1. Introduction
2. Semi-Local Analysis
3. Numerical Example
References

15. A Collection of Iterative Methods with Order Five, Six and Seven and Their Semi-Local Convergence
1. Introduction
2. Convergence Criteria
References

16. Extended Semi-Local Convergence Analysis for the Two-Step Newton Method Under Generalized Lipschitz Conditions
1. Introduction
2. Semi-Local Convergence
References

17. Semi-Local Convergence for Jarratt-Like Methods Under Generalized Conditions for Solving Equations
1. Introduction
2. SL of Method (17.3) and Method (17.2)
References

18. On The Semi-Local Convergence of a Derivative Free Fourth Order Method for Solving Equations
1. Introduction
2. Majorizing Sequence
3. Semi-Local Convergence
References

19. Extended and Unified Kantorovich Theory for Solving Generalized Nonlinear Equations
1. Introduction
2. Mathematical Background
3. Majorizing Sequence
4. Main Result
References

20. A Derivative Free Two-Step Fourth Order Method for Solving Equations in Banach Space
1. Introduction
2. Local Convergence Analysis
References

21. Local Convergence for An Efficient Derivative Free Fourth Order Method for Solving Equations in Banach Space
1. Introduction
2. Convergence
References

22. Extended Local Convergence of Steffensen-Type Methods for Solving Nonlinear Equations in Banach Space
1. Introduction
2. Local Analysis of STM
References

23. Extended Convergence Analysis of Optimal Eighth Order Methods for Solving Nonlinear Equations in Banach Space
1. Introduction
2. Local Convergence
3. Special Cases
References

24. Efficient Fifth Convergence Order Methods for Solving Equations in Banach Space
1. Introduction
2. Local Convergence
3. Semi-Local Convergence
References

25. Efficient Derivative Free Seventh Order Methods for Solving Equations in Banach Space
1. Introduction
2. Convergence for method (25.4)
3. Special Cases
4. Convergence of method (25.7)
References

26. Necessary and Sufficient Conditions for the Q-Order of Convergence of Iterative Methods
1. Introduction
2. Local Convergence
References

27. Necessary and Sufficient Conditions for the Convergence of Sixth Order or Higher Derivative Free Methods
1. Introduction
2. Local Convergence
References

28. The Convergence Analysis of Some Fourth and Fifth Order Methods
1. Introduction
2. Local Convergence
3. Semi-Local Convergence
References

29. High Convergence Order Derivative Free Methods-I
1. Introduction
2. Local Convergence Analysis
3. Semi-Local Convergence
References

30. High Convergence Order Derivative Free Methods-II
1. Introduction
2. Local Convergence
3. Semi-local Convergence
References

31. High Convergence Order Derivative Free Methods -III
1. Introduction
2. Local Convergence
3. Semi-Local Convergence
References

32. Fourth Convergence Order Derivative Free Methods with or Without Memory
1. Introduction
2. Local Convergence
3. Semi-Local Convergence
References

33. Convergence Radius of an Efficient Iterative Method with Frozen Derivatives
1. Introduction
2. Convergence for method (33.2)
3. Numerical Examples
References

34. A Comparison Between Some Derivative Free Methods
1. Introduction
2. Local Convergence
References

35. High Convergence Order Methods
1. Introduction
2. Semi-Local Convergence
References

36. On a Family of Optimal Eighth Order Methods for Equations in Banach Space
1. Introduction
2. Local Analysis
References

37. Extended Ball Convergence of a Xiao-Yin Fifth Order Scheme for Equations
1. Introduction
2. Ball convergence
3. Numerical Experiments
References

38. On the Semi-Local Convergence of King’s Fourth Order Method for Solving Equations
1. Introduction
2. Scalar Majorizing Sequences
3. Analysis
4. Convergence Result for Method 38.3
5. Applications
References

39. On the Convergence of two Eighth Order Methods with Divided Differences and Derivatives
1. Introduction
2. Local Convergence
3. Semi-Local Convergence
References

40. Bilinear Operator Free Method for Solving Nonlinear Equations
1. Introduction
2. History of the Procedure
3. Convergence Analysis
4. Numerical Experiments
References

Publish with Nova Science Publishers

We publish over 800 titles annually by leading researchers from around the world. Submit a Book Proposal Now!