"计算机科学中的迭代数学思想及应用--毕业论文设计"

athod in practical applications. We mainly introduce several common iterative methods for solving problems in mathematics, such as finding the fixed point iteration, bisection method, Newton's iterative method for solving non-linear equations f(x)=0, as well as various iterative methods for solving linear and non-linear systems of equations. We also discuss and compare the convergence of various iterative methods, as well as their advantages and disadvantages. Based on the analysis of the results, we can see that the practical application of iteration method is very strong, especially in the field of computer science. The research results tell us that in specific applications, different iterative methods should be chosen according to the actual situation, and several methods can be combined for better results. Keywords: iteration; convergence; Newton's method; Jacobi iteration; Gauss-Seidel iteration; non-linear equations; (non) linear equation systems. In conclusion, the importance of iteration method in computer science cannot be underestimated. It provides a powerful and efficient tool for solving various mathematical problems, especially in the field of computational mathematics. By understanding and applying different iterative methods, we can improve the efficiency and accuracy of calculations in computer science. Through this research, we have gained a deeper understanding of the significance and practical applications of iteration method in computer science, and we have also learned the importance of selecting the appropriate method based on the specific problem at hand. Overall, the study of iteration method in computer science has provided valuable insights and knowledge that can greatly benefit the development and advancement of computational mathematics.