Mixed and componentwise condition numbers are useful in understanding stability properties of algorithms for solving structured linear systems. The DFT (discrete Fourier transform) is an essential building block of these algorithms. We obtain estimates of mixed and componentwise condition numbers of the DFT. To this end, we explicitly compute certain special vectors that share with their DFTs the property of having entries with modulus equal to one.

Componentwise conditioning of the DFT

BOZZO, Enrico;FASINO, Dario;
2002

Abstract

Mixed and componentwise condition numbers are useful in understanding stability properties of algorithms for solving structured linear systems. The DFT (discrete Fourier transform) is an essential building block of these algorithms. We obtain estimates of mixed and componentwise condition numbers of the DFT. To this end, we explicitly compute certain special vectors that share with their DFTs the property of having entries with modulus equal to one.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11390/676170
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