A Geometric Geodesic Method for Solving Nonlinear Equations: Theory, Experiments, and Applications
Abstract
Preprint presenting a novel geometric method for solving nonlinear equations without derivative computation. The method reduces function evaluations by 30-50%, handles stiff and near-singular equations, and includes a spectral mode for multi-root detection. Applications in robotics, aerospace, and engineering with discrete/noisy data are demonstrated.
Fields of Study & Subjects
Iterative Methods for Nonlinear Equations
Advanced Optimization Algorithms Research
Numerical Methods and Algorithms
Publication details
- Publication date
- 1 January 2026
- Language
- EN
- Document type
- Preprint