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math.RA2021
Nesbitt and Shapiro Cyclic Sum Inequalities for Positive Definite Matrices
Projesh Nath Choudhury, K. C. Sivakumar
The aim of this note is to show that certain number theoretic inequalities due to Nesbitt and Shapiro have noncommutative counterparts involving positive definite matrices.
math.RA2016
Pseudo Principal Pivot Transform: The Group Inverse Case
Kavita Bisht, K. C. Sivakumar
In this short note, we prove a formula for the group inverse of a block matrix and consider the pseudo principal pivot transform expressed in terms of group inverses. Extensions of…