low-rank approximation 1optimization algorithms 1orthogonality constraint 1positivity preservation 1vlasov equation 1
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math.NA2026
Nonnegative Low-Rank Matrix Correction under an Orthogonality Constraint in Conservative Vlasov Simulations
Yue Wu, Stephen Becker, Jingmei Qiu +1
The paper proposes optimization-based post‑processing methods to enforce nonnegativity on low‑rank approximations in conservative Vlasov simulations while exactly preserving densit…
math.NA2026
Singular value soft-thresholding via the polar decomposition
Stephen Becker
Singular value soft-thresholding can be computed via a reduction to the matrix polar decomposition, which allows one to exploit GPU-friendly algorithms for computing the polar deco…
math.NA2024
Evaluation of data driven low-rank matrix factorization for accelerated solutions of the Vlasov equation
Bhavana Jonnalagadda, Stephen Becker
Low-rank methods have shown success in accelerating simulations of a collisionless plasma described by the Vlasov equation, but still rely on computationally costly linear algebra…