非齐次特征值的盖尔圆盘放大与缩小的方法

Method of enlarging or lessening Gershchgorin circles of the imhomogenous eigenvalue

物理、力学和工程技术中的很多问题在数学上都归结为求矩阵的特征值问题,但非齐次特征值问题在实际中也有着广泛的应用,讨论了如何将非齐次特征值问题转化为齐次特征值问题,进而探讨了利用盖尔圆盘的放大缩小方法实现对非齐次特征值的估计.

Many problems on physics, mechanics and engineering can come down to matrix eigenvalue problems in maths, and the problems on the imhomogenous eigenvalue are quite common in practice. The problem of how to transtract the imhomogenous eigenvalue problems to homogenous eigenvalue problems is discussed in this paper in order to bring enlargement or lessening of Gershchgorin circles to accomplish estimation of the imhomogenous eigenvalue.