The New Structure And The Application Ogeneralizedinverse Based On The Linear Mapping Space Angle

At present, the generalized inverse no matter in the modern engineering technology, or in many fields of computer technology is an indispensable tool. With the deepening and improvement of science and technology, the generalized inverse of research also has a growing, expanding the scope of its application in. in this paper, the author has broken the traditional point of matrix under the research mentality, the generalized inverse as the inverse operator mapping space to look at. From the nature of generalized inverse under space mapping, the generalized inverse is discussed in detail and the structure of the new, generalized inverse of some new deductions are drawn at the same time, we will be the main result of this paper list as follows:1, the author from the Angle of the linear space mapping system is studied A{1}and A{2} the characteristics of the space mapping, explains the essential difference between them in space mapping sense, also gives a new proof on the nature of them before. Then A{1) and,4(2} based on the space mapping is studied,4(1,2} on the basis of geometric features.2, on the basis of,4(2}, research,4(2,3} and,4{2,4} in space mapping on the structure and properties, they in the null space and range of the new corollaries are given, that they also have their own excellent properties, it has a very important significance in terms of the generalized inverse theory.3, on the basis of nature,4{1} and,4(1,2} space mapping got their new inference, combining new reasoning the author gives them a kind of new structure theory, the theory for the application of new structure of their corresponding calculation formulas are obtained. Before comparing various calculation methods for reducing the amount of calculation, also reduces the operating difficulty.