Solutions Research of Ill-Posed Problem and Its Implementation

Abstract

Problems in mathematics among a class of problems by the way, the solution of the original data it is not the case for change is unstable. It is characterized, no matter how small changes in the original data, but also can cause large changes in any solution. The ill-posed problem of the wide range of applications, but also the development of science and technology play an important role. As ill-posed problems started relatively late, ill-posed problem in the country of very few people. But its role is very big, so the solution of ill-posed problem is necessary. This paper mainly reviewed the commonly used selection method and regularization algorithm which introduces the regularization algorithm, which is now the most widely used and the most extensive.