3 citations · 6 across the 13 of their papers we have counts for
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Oppenheim--Schur inequalities for causal products
Dominique Guillot, Javad Mashreghi, Prateek Kumar Vishwakarma
We establish a class of Oppenheim--Schur-type inequalities for the convolutional Jury product of positive semidefinite matrices. These results extend to a causal convolutional sett…
Sharp lower bounds for generalized operator products
Dominique Guillot, Javad Mashreghi, Prateek Kumar Vishwakarma
We consider general bilinear products defined by positive semidefinite matrices. Typically non-commutative, non-associative, and non-unital, these products preserve positivity and…
Functional Calculi, Positivity, and Convolution of Matrices
Javad Mashreghi, Mostafa Nasri, Prateek Kumar Vishwakarma
Convolution admits a natural formulation as a functional operation on matrices. Motivated by the functional and entrywise calculi, this leads to a framework in which convolution de…