73 citations · 398 across the 44 of their papers we have counts for
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math.NA2018
On the compressibility of tensors
Tianyi Shi, Alex Townsend
Tensors are often compressed by expressing them in low rank tensor formats. In this paper, we develop three methodologies that bound the compressibility of a tensor: (1) Algebraic…
math.CA2018★ 7 cited
Recurrence relations for orthogonal polynomials on a triangle
Sheehan Olver, Alex Townsend, Geoff Vasil
This paper derives sparse recurrence relations between orthogonal polynomials on a triangle and their partial derivatives, which are analogous to recurrence relations for Jacobi po…
math.NA2018
On the singular values of matrices with high displacement rank
Alex Townsend, Heather Wilber
We introduce a new ADI-based low rank solver for , where has rapidly decaying singular values. Our approach results in both theoretical and practical gains, including…