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• W2912623054 abstract "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 algorithm for computing multi-dimensional Jacobi polynomial transforms. More explicitly, it follows from this observation that the matrix corresponding to the discrete Jacobi transform is the Hadamard product of a numerically low-rank matrix and a multi-dimensional discrete Fourier transform (DFT) matrix. The application of the Hadamard product can be carried out via $O(1)$ fast Fourier transforms (FFTs), resulting in a nearly optimal algorithm to compute the multidimensional Jacobi polynomial transform." @default.
• W2912623054 created "2019-02-21" @default.
• W2912623054 creator A5025604583 @default.
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• W2912623054 date "2019-01-22" @default.
• W2912623054 modified "2023-10-14" @default.
• W2912623054 title "Fast Algorithms for the Multi-dimensional Jacobi Polynomial Transform" @default.
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• W2912623054 doi "https://doi.org/10.48550/arxiv.1901.07275" @default.
• W2912623054 hasPublicationYear "2019" @default.
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