1. Scipy Optimization (Recommended) (+2)
1. Scipy Optimization (Recommended)
Uses scipy.optimize.fsolve for robust multi-variable root finding.
Best for:
- Well-behaved systems
- Multiple lines with coupling
- Fast convergence
2. Newton-Raphson
Multi-dimensional Newton-Raphson with numerical Jacobian.
Best for:
- Systems needing fine control
- Cases with known sensitivity
- Debugging convergence issues
3. EA-Based (Catenary Theory)
Uses effective axial stiffness from catenary equations.
Best for:
- Simple catenary systems
- Initial estimates
- Lightweight iteration