【摘要】 在Gerschgorin圆盘定理的基础上,利用相似矩阵有相同特征值的理论,通过选取恰当的正对角矩阵来缩小圆盘半径,从而达到分离Gerschgorin圆盘的目的.给出了选取正对角阵的方法.最后通过数值算例验证了所得结果的有效性.更多还原

【Abstract】 On the basis of Gerschgorin’s Theorem,by using the theory that similar matrices have the same eigenvalues,the Gerschgorin circular discs are separated by selecting an appropriate positive diagonal matrix.Moreover,the method of selecting positive diagonal matrix is given,and the effectiveness is verified by numerical examples.更多还原