一种特征值隔离的规则化方法以及特征值估计的改进研究

估计特征值的分布和大小,不仅在理论上十分重要,而且具有实用价值。本文基于Gerschgorin定理,提出了一种利用相似变换进行特征值隔离的规则化方法,给出了特征值能隔离的充要条件,克服了以往方法不具有通用性或者应用较为复杂的缺点。在研究了特征值隔离的规则化方法基础上,进一步提出了利用非线性规划改进特征值估计的方法,使特...

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.