A Minimal Gerschgorin Set for Eigenvalue of Matrix

Zhong Yi-bing · Natural Science Journal of Xiangtan University · 2007

For every positive diagonal matrices X,the Gerschgorin set of X-1AX includes all Eigenvalues of matrix A.Taking the intersection of all these Gerschgorin sets,we obtaine the minimal Gerschgorin set.In this paper,taking special matrices X,we obtain a new minimal Gerschgorin set.

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