Multipoint Methods for Solving Nonlinear Equations by Miodrag Petkovic (Author)

Multipoint Methods for Solving Nonlinear Equations (1st Edition)
Authors: Miodrag Petkovic, Beny Neta, Ljiljana Petkovic, Jovana Dzunic
Quality: Black White Pakistan Print

Introduction

Multipoint Methods for Solving Nonlinear Equations (1st Edition) by Miodrag Petkovic and co-authors is a detailed exploration of multipoint iterative methods used to solve nonlinear equations. The book provides a comprehensive mathematical framework for developing and analyzing these methods, offering a balance of theory, algorithms, and practical applications. The authors explain how multipoint methods improve upon classical single-point methods by increasing efficiency and reducing computational costs. The book covers both fundamental and advanced techniques, with examples and numerical results to illustrate the effectiveness of the discussed methods.

🚀 Key Features

✅ Comprehensive Mathematical Foundation:

• Provides a detailed explanation of iterative methods for solving nonlinear equations.

• Covers convergence analysis, stability, and error estimation of multipoint methods.

✅ Efficiency and Performance:

• Discusses how multipoint methods improve convergence rates and computational efficiency.

• Analyzes the trade-offs between computational complexity and accuracy.

✅ Innovative Approaches:

• Introduces new classes of multipoint methods with improved performance.

• Explains hybrid techniques combining multipoint and derivative-free methods.

✅ Practical Applications:

• Includes examples from engineering, physics, and applied mathematics.

• Demonstrates the real-world utility of the methods through detailed case studies.

✅ Algorithms and Implementation:

• Provides pseudocode and step-by-step procedures for implementing multipoint methods.

• Offers numerical results to compare performance across different methods.

🌟 Why This Book Is Valuable

• Advanced Insight: Explores cutting-edge methods in solving nonlinear equations.

• Balanced Approach: Combines mathematical rigor with practical applications.

• Clear Structure: Organized to facilitate understanding and application of methods.

• Research-Oriented: Suitable for both academic research and professional problem-solving.

🎯 Conclusion

Multipoint Methods for Solving Nonlinear Equations (1st Edition) serves as a valuable resource for mathematicians, engineers, and computational scientists. Its thorough coverage of multipoint methods, including theoretical analysis and practical algorithms, makes it an essential guide for improving the accuracy and efficiency of solving nonlinear problems.