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math.NA2026
Recycling singular and projection subspaces for pseudospectra computation
Kuan Deng, Kuan Xu
Computing matrix pseudospectra over a prescribed region requires evaluating the smallest singular value of at a large number of grid points, which can be prohibitively expen…
math.NA2025
Spectral Approximation to Fractional Integral Operators
Xiaolin Liu, Kuan Xu
We propose a fast and stable method for constructing matrix approximations to fractional integral operators applied to series in the Chebyshev fractional polynomials. This method u…