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A new showing method of bound estimation of eigenvalues of a matrix. (Chinese. English summary) Zbl 0955.15008

Summary: The estimation of eigenvalues of a matrix is very important in both theory and application. The traditional estimations are shown by the elements or the Euclidean norm of a matrix. In this paper, we change the result as sum of principal minors and with an example we verify that this method is more convenient in calculation and the result is more precise.

MSC:

15A42 Inequalities involving eigenvalues and eigenvectors
65F15 Numerical computation of eigenvalues and eigenvectors of matrices
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