Multiscale matrix pencils for separable reconstruction problems

DOI10.1007/s11075-023-01564-3arXiv2008.02125MaRDI QIDQ6145562

Wen-Shin Lee, Annie A. M. Cuyt

Publication date: 9 January 2024

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.02125

zbMATH Keywords

parametric methodsdilationgeneralized eigenvalue problemtranslationseparable problemsstructured matrixsparse interpolationProny problems

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical methods for trigonometric approximation and interpolation (65T40) Numerical aspects of recurrence relations (65Q30)

Cites Work

• Stability and super-resolution of generalized spike recovery
• Deterministic sparse FFT for \(M\)-sparse vectors
• Numerical Fourier analysis
• Early termination in sparse interpolation algorithms
• Representation of sparse Legendre expansions
• Learning algebraic decompositions using Prony structures
• The generalized operator based Prony method
• How to get high resolution results from sparse and coarsely sampled data
• Faint and clustered components in exponential analysis
• Sparse polynomial interpolation in Chebyshev bases
• Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise
• Transform Techniques for Error Control Codes
• Sparse Polynomial Interpolation in Nonstandard Bases
• A generalized Prony method for reconstruction of sparse sums of eigenfunctions of linear operators
• Exponential Data Fitting and its Applications
• Sparse Polynomial Interpolation With Arbitrary Orthogonal Polynomial Bases
• On a Generalized Eigenvalue Problem for Nonsquare Pencils
• Reconstruction of stationary and non-stationary signals by the generalized Prony method
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