Lower bounds for the rank and estimation for eigenvalues

Junliang Wu · Journal of Shandong University · 2009

Lower bounds for the rank and the estimation for eigenvalues of matrices are discussed.Two lower bounds for the rank and estimation for the real part and imaginary part of eigenvalues are obtained.Also,we prove that all the eigenvalues of any complex matrix are located in one disk.Some numerical examples show the effectiveness of our results.

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