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math.NA2019★ 2 cited
Fast Algorithms for the Multi-dimensional Jacobi Polynomial Transform
James Bremer, Qiyuan Pang, Haizhao Yang
We use the well-known observation that the solutions of Jacobi's differential equation can be represented via non-oscillatory phase and amplitude functions to develop a fast algori…
math.NA2018★ 1 cited
Interpolative Decomposition Butterfly Factorization
Qiyuan Pang, Kenneth L. Ho, Haizhao Yang
This paper introduces a "kernel-independent" interpolative decomposition butterfly factorization (IDBF) as a data-sparse approximation for matrices that satisfy a complementary low…