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math.CA2020
Hadamard powers of rank two, doubly nonnegative matrices
Tanvi Jain
We study ranks of the Hadamard powers of doubly nonnegative matrices and show that the matrix is positive definite for every doubly nonnega…
math.CA2020
A Schur-Horn Theorem for symplectic eigenvalues
Rajendra Bhatia, Tanvi Jain
Let and be positive -vectors. We show that there exists a positive definite real matrix whose symplectic spectrum is and the symplectic spectrum of wh…