Accurate solution of near-colliding Prony systems via decimation and homotopy continuation
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Publication:2357361
DOI10.1016/j.tcs.2017.03.026zbMath1375.65071arXiv1501.00160OpenAlexW2963604884MaRDI QIDQ2357361
Publication date: 13 June 2017
Published in: Theoretical Computer Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1501.00160
algorithmhomotopy continuationpolynomial systemsESPRITdecimationProny systemHankel-type polynomial system
Numerical computation of solutions to systems of equations (65H10) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20)
Related Items (7)
Accuracy of noisy Spike-Train Reconstruction: a Singularity Theory point of view ⋮ Exact reconstruction of extended exponential sums using rational approximation of their Fourier coefficients ⋮ Geometry of error amplification in solving the Prony system with near-colliding nodes ⋮ On algebraic properties of low rank approximations of Prony systems ⋮ Stability and super-resolution of generalized spike recovery ⋮ Conditioning of Partial Nonuniform Fourier Matrices with Clustered Nodes ⋮ A Convex Approach to Superresolution and Regularization of Lines in Images
Uses Software
Cites Work
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