math.NA · 2026-08-27 · No. 97

Numerical Analysis, 2026-08-27.

2 new papers in math.NA. Titles, authors, abstracts. Links to arXiv. Want this in your inbox every morning? Subscribe →

01 — The papers

2 entries
  1. 01

    Adaptive Hybrid Subspace Levenberg Marquardt Algorithm with Adequacy Monitor for Large Scale Least Squares Problems

    M. Duc Hoang, Timothy J. Lewis

    math.NA · cs.LG · math.OC

    The Levenberg-Marquardt (LM) algorithm is the most widely used method for solving nonlinear least-squares problems, as it combines the robustness of steepest descent with the fast local convergence of the Gauss-Newton method. However, its computational cost can become prohibitive for large-scale problems because each iteration requires solving a large damped linear system, and conventional step acceptance strategies may require repeated...

    arxiv.org/abs/2608.25524 · PDF

  2. 02

    Data-driven Effective Modeling of Stochastic Chemical Reaction Networks

    Yuan Chen, Weize Mao, Dongbin Xiu

    math.NA · cs.LG · math.DS

    The Stochastic Simulation Algorithm (SSA), widely considered an exact algorithm for stochastic chemical reaction networks, suffers from high computational cost. In this work, we propose a data-driven effective model that operates on a user-defined coarse time step independent of the underlying microscopic reaction-event scale. This is accomplished by directly approximating the finite-time transition kernel of the continuous-time Markov chain...

    arxiv.org/abs/2608.25421 · PDF

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