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Microsoft PowerPoint - Johnson FFTW ppt - research cornell 2025

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The document discusses advancements in Fast Fourier Transform (FFT) algorithms, particularly focusing on the development of the FFTW library, which optimizes performance through a combination of recursive frameworks, automatic code generation, and adaptive planning. It highlights the historical context of FFT algorithms, their computational complexity improvements from O(n^2) to O(n log n), and emphasizes the importance of memory hierarchy and cache optimization in achieving faster computations. The authors advocate for a balance between generality and performance in algorithm design.

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