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Abstract:
In the ordinary representation the cost of linear algebra operations,
such as matrix-matrix or matrix-vector multiplications, increases
exponentially with the underlying physical dimension. For any finite but
arbitrary accuracy, we represent operators in a separated form, a
numerical generalization of separation of variables. Our approach is
based on the fact that a wide class of physically significant operators
have a low separation rank. I will present relevant analytic and
numerical results and describe a new method for electron structure
computations based on this approach.
[LECTURE SLIDES]
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