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math.OC2004★ 3 cited
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…
math.OC2004★ 4 cited
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…