Iterative Solutions for Nonlinear and Systems of Linear Equations

The textbook deals mainly with the iterative methods to solve nonlinear and linear systems of equations. The book is distributed into five chapters. After a brief introduction in the first chapter, we study cubic convergent iterative methods in chapter 2. In chapter 3, we consider higher-order convergent iterative methods. The rate of convergence of these proposed methods is obtained. Numerical examples are presented to support the proposed methods being more efficient than the existing methods. Whereas, In chapter 4, we proposed iterative methods for solving the linear system of equations. The convergence criteria of the proposed methods are obtained, and the numerical examples are presented to support that the spectral radius of the proposed methods is smaller than the other existing methods. Finally, the conclusions are considered in chapter 5. Computer algebra software Python with a math library is used to carry out the calculations to exhibit greater accuracy in the results.