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math.NA2026
Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement
MichaÅ DereziÅski, Ethan N. Epperly, Deanna Needell +1
The randomized Kaczmarz method and its accelerated variants are a powerful class of iterative methods for solving large-scale linear systems, offering guaranteed convergence with l…
math.NA2025
Convergence of the alternating least squares algorithm for CP tensor decompositions
Nicholas Hu, Mark A. Iwen, Deanna Needell +1
The alternating least squares (ALS/AltLS) method is a widely used algorithm for computing the CP decomposition of a tensor. However, its convergence theory is still incompletely un…
math.NA2025
Curvature Corrected Nonnegative Manifold Data Factorization
Joyce Chew, Willem Diepeveen, Deanna Needell
Data with underlying nonlinear structure are collected across numerous application domains, necessitating new data processing and analysis methods adapted to nonlinear domain struc…