3 papers
math.NA2026
Average block nonlinear Kaczmarz methods with adaptive momentum for nonlinear systems of equations
Renjie Ding, Dongling Wang, Jun Zou
The Kaczmarz method is widely recognized as an efficient iterative algorithm for solving large-scale linear systems, owing to its simplicity and low memory requirements. However, t…
math.NA2025
Random Greedy Fast Block Kaczmarz Method for Solving Large-Scale Nonlinear Systems
Renjie Ding, Dongling Wang
To efficiently solve large scale nonlinear systems, we propose a novel Random Greedy Fast Block Kaczmarz method. This approach integrates the strengths of random and greedy strateg…
math.NA2025
Adaptive Residual-Driven Newton Solver for Nonlinear Systems of Equations
Renjie Ding, Dongling Wang
Newton-type solvers have been extensively employed for solving a variety of nonlinear system of algebraic equations. However, for some complex nonlinear system of algebraic equatio…