27 citations · 138 across the 24 of their papers we have counts for
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math.FA2018★ 1 cited
Perturbation theory for Hermitian matrix-functions based on vector-fields
Marcus Carlsson
We consider "spectral" matrix-functions for Hermitian matrices, where the novelty is that the function applied to the spectrum is allowed to be a vector-field rather than a scalar…
math.FA2018★ 5 cited
Perturbation theory for the matrix square root and matrix modulus
Marcus Carlsson
We provide first order perturbation formulas for the matrix square root (in the positive semi-definite case) and the matrix modulus (in the general case). The results are new for s…