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math.FA2020
Positive linear maps and eigenvalue estimates for nonnegative matrices
R. Sharma, M. Pal, A. Sharma
We show how positive unital linear maps can be used to obtain some bounds for the eigenvalues of nonnegative matrices.
math.FA2019
A note on variance bounds and location of eigenvalues
R. Sharma, A. Sharma, R. Saini
We discuss some extensions and refinements of the variance bounds for both real and complex numbers. The related bounds for the eigenvalues and spread of a matrix are also derived…