Workflowquadsim
QuadSimp
An interactive tool for solving quadratic spline interpolation and simplex method problems with visualization and step-by-step solutions.
stack
- R
- RShiny
Architecture
- Quadratic spline interpolation — computes and plots the piecewise spline with step-by-step coefficient derivation
- Simplex method solver — generic LP and transportation problems; shows each pivot step, tableau state, and optimal solution
- Bland's rule — smallest-index pivot among ties; guarantees termination on degenerate problems
- Interactive UI — RShiny inputs update the solution immediately
Results
- Step-by-step visualization of numerical methods
- Handles generic and transportation simplex problems
- Bland's rule prevents cycling on degenerate inputs
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