phcpy Documentation Contents¶
- Getting Started
- Tutorial
- User Manual
- a blackbox solver for isolated solutions
- solving random trinomials and a particular trinomial system
- representations of solutions of polynomial systems
- reproducible runs with fixed seeds
- root counting methods
- Newton’s method and deflation
- the multiplicity of an isolated solution
- equation and variable scaling
- reduction of polynomial systems
- path trackers and sweep homotopies
- a simple example
- fixing the gamma constant
- give the next solution on a path
- solving with polyhedral homotopies
- Newton’s method at higher precision
- multitasked path tracking
- GPU accelerated path tracking
- sweep homotopies
- real versus complex sweeps
- tuning parameters, settings, and tolerances
- a polyhedral end game
- positive dimensional solution sets
- some interesting examples and families
- numerical Schubert calculus
- Newton polytopes, monomial maps, and power series
- a graphical user interface
- the module server
- the module phcpy.phcpy2c3
- code snippets
- a blackbox solver for isolated solutions
- Reference Manual
- Indices and tables