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Schrodinger operators, operators on manifolds, general differential operators, numerical studies, integral operators, discrete models, resonances, non-self-adjoint operators, random operators/matrices

9 votes
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Can a perturbation of a matrix product always be represented as product of perturbations of ...

The condition you want is exactly that the matrix multiplication map be locally open at the pair $(B,C)$. This is the topic of the recent paper Where is matrix multiplication locally open? by Behrend …
Noah Stein's user avatar
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6 votes
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Analogue of PSD matrices for permanents?

The set $C$ is not convex, nor is its intersection with the symmetric matrices. To see this note that by linearly interpolating between each of the matrices below we maintain positive permanent and s …
Noah Stein's user avatar
  • 8,501