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deniskyashif.com
| | connorboyle.io
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| | I'm planning to write a series of posts about fast Fourier transform algorithms. This first post covers the Cooley-Tukey algorithm, which is the original and most well-known FFT algorithm.
| | benhoyt.com
5.5 parsecs away

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| | An explanation of how to implement a simple hash table data structure, with code and examples in the C programming language.
| | yuanming.taichi.graphics
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| | A data-oriented programming language and compiler for compute-intense visual computing workloads, especially those needing **spatially sparse data structures**.
| | tiao.io
29.0 parsecs away

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| Suppose we're given a positive semidefinite (PSD) matrix $\mathbf{A} \in \mathbb{R}^{N \times N}$ to which we wish to update by some low-rank matrix $\mathbf{U} \mathbf{U}^\top \in \mathbb{R}^{N \times N}$, $$\mathbf{B} \triangleq \mathbf{A} + \mathbf{U} \mathbf{U}^\top,$$ where the update factor matrix $\mathbf{U} \in \mathbb{R}^{N \times M}$. To be more precise, the low-rank update is rank-$M$ for some $M \ll N$. What is the best way to calculate the Cholesky decomposition of $\mathbf{B}$? Given ......