4 citations · 9 across the 10 of their papers we have counts for
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Determinant Bounds for -Locally Positive Semidefinite Matrices
Shaun Fallat, Samir Mondal, Hristo Sendov
In this framework, the extremal case corresponds to the tightest nontrivial relaxation in this hierarchy, in which every proper principal submatrix is constrained to be positive se…
Locally symmetric submanifolds lift to spectral manifolds
Aris Daniilidis, Jerome Malick, Hristo Sendov
In this work we prove that every locally symmetric smooth submanifold gives rise to a naturally defined smooth submanifold of the space of symmetric matrices, called spectral manif…
On the Higher-Order Derivatives of Spectral Functions: Two Special Cases
Hristo S. Sendov
In this work we use the tensorial language developed in [8] and [9] to differentiate functions of eigenvalues of symmetric matrices. We describe the formulae for the k-th derivativ…
Interactions Between the Generalized Hadamard Product and the Eigenvalues of Symmetric Matrices
Hristo S. Sendov
In [8] a notion of generalized Hadamard product was introduced. We show that when certain kinds of tensors interact with the eigenvalues of symmetric matrices the resulting formula…