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math.FA2023
The numerical radius and positivity of block matrices
Rajendra Bhatia, Tanvi Jain
This article has two interpenetrating motifs. One is an exposition of some major ideas and techniques behind the use of block matrices, and especially their positivity properties.…
math.CA2023
Inertia of Kwong matrices
Rajendra Bhatia, Tanvi Jain
Let be any real number and for any let be distinct positive numbers. A Kwong matrix is the matrix whose entry is $(p_i^r+p_j^r)/(p_i+p_…