An inerratic method of eigenvalue isolation and research of amelioration of eigenvalue estimate

Estimating the distribution and size of Eigenvalue is very important in theory,and it also has practical value.In the paper,a inerratic method of eigenvalue isolation with semblable transformation is proposed based on Gerschgorin theorem,and the sufficient and necessary conditions of eigenvalue possibly insulated are brought forward,which overcomes forepassed methods' defects that they aren't universal or relative complicated for application.Based on the above research of inerratic method of eigenvalue isolation,a method of ameliorate eigenvalue estimate with nonlinear programming is proposed,which makes it more exact to estimate the size of eigenvalue.