Hyper-Geometry Ball Method of Solving Linear Equation Group

The solution of the linear equation group can be thought as the intersection of all the hyper-planes which represent the group basing on the analytic geometry. According to the principle of the diameter of a circle corresponding to the right angle and the principle of short side for little angle in right triangle,projecting the initially-chosen point to the hyper-planes of the linear equation group in which every linear equation can be regarded as a hyper-plane and the projection points can be obtained.The initially-chosen point,and one arbitrary projection point,and the solution point are all on the surface of the relative hyper-geometry ball,thereinto,there is a projection point which is nearest to the solution point and it can be regarded as the next iterative initially-chosen point,so the solution problem of the linear equation group can be changed as an iterative problem of approaching the solution on the surface of a hyper-geometry ball.The results of several good(ill)-solving linear equation groups show that the method introduced here not only has anti-ill solving ability,but also is simple and practical.