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math.NA2026
Smallest Singular Value Estimates for Nonuniform Fourier Matrices via Periodic Nonuniform Sampling
Liang Chen, Rongrong Lin, Haizhang Zhang
We study the smallest singular value of nonuniform Fourier matrices in two settings: clustered nodes and perturbations of an equispaced grid. By reducing the problem to spectral no…
math.NA2024
A Random Integration Algorithm for High-dimensional Function Spaces
Liang Chen, Minqiang Xu, Haizhang Zhang
We introduce a novel random integration algorithm that boasts both high convergence order and polynomial tractability for functions characterized by sparse frequencies or rapidly d…