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project summary
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Fast Fourier Transform
| Title: |
Fast Fourier Transform
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| Author: |
Clemens Ballarin
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| Submission date: |
2005-10-12 |
| Abstract: |
We formalise a functional implementation of the FFT algorithm
over the complex numbers, and its inverse. Both are shown
equivalent to the usual definitions
of these operations through Vandermonde matrices. They are also
shown to be inverse to each other, more precisely, that composition
of the inverse and the transformation yield the identity up to a
scalar.
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| Status: [ok] | This is the development
version of this entry generated for Isabelle-16-Sep-2009. The development version might change over time and is only
permanently archived at Isabelle release points. It is provided as a
preview of the next upcoming release. Please refer to release
versions only in citations. If the status shows [FAIL], the links below
will point to the last working version if any. |
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