PolarGrad (Polar Gradient methods; Lau et al., 2025) is a class of matrix-gradient optimizers based on the concept of gradient-anisotropy preconditioning in optimization. It has close relation to Muon ...
The paper deals with spectral divisors of a matrix polynomial relative to a given contour. Necessary and sufficient conditions are given for the existence of spectral divisors whose behaviour at ...
We develop and analyze a first-order system least-squares spectral method for the second-order elliptic boundary value problem with variable coefficients. We first ...
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