The solution of nonlinear problem i

The solution of nonlinear problem is a basic and very important problem. It is one of the mainstream problems in modern mathematics research. This is not only the need of the rapid development of society, but also the unprecedented opportunity brought by the rapid development of computer network technology. Among them, the system of linear equations is the most basic and important problem. The traditional methods include dichotomy, fixed point iterative method, Newton method and LM method, but all of them have some limitations. For example, Newton's method has a fast convergence speed, but each iteration needs to calculate the f ^ '(x ^ K) of the Jacobian matrix and determinant, resulting in a large amount of calculation. Therefore, in order to overcome these problems, pseudo Newtonian method is proposed. Pseudo-newton's method has been very active in recent decades. Some effective algorithms and general software packages are put forward to form a systematic theory. Newton's method is widely used in economics, practical engineering, aerospace and network information security, and has a broad development prospect.