Category:ApCoCoA-1:Package bertini

The basic idea behind this package is to make Bertini usable in/with ApCoCoA.

This is the alpha version of the package bertini, which includes the Betini interface to CoCoA. Essentially, you can call Bertini from with inside CoCoA, using this Package.

Please note: The function(s) explained on this page is/are using the ApCoCoAServer. You will have to start the ApCoCoAServer in order to use it/them.

NUMERICAL ALGEBRAIC GEOMETRY:

Numerical algebraic geometry is the study based on homotopy continuation

 method and algebraic geometry. It has same relation to algebraic geomertry, as
 Numerical Linear Algebra to linear algebra. In Numerical Algebraic Geometry we
 can fine isolated solutions. For positive dimensional systems, we can find out
 numerical irreducible deocmpostions.

 Bertini: Software for Numerical Algebraic Geometry
  
      Bertini is a software desgined for computations in Numerical Algebric 
 Geometry, particularly, for solving polynomial systems numerical using homotopy
 continuation method. Its a general-purpose solver, written in C, that was created
 for research about polynomial continuation. The Key Features of Bertini are:
  
   * Finds isolated solutions using total-degree start systems, 
     multihomogeneous-degree start systems, and also user defined homotopies.
   * Implements parameter continuation for families of systems, such as the inverse
     kinematics of six-revolute serial-link arms, or the forward kinematics of
     Stewart-Gough parallel-link robots.
   * Adaptive multiprecision implemented for finding isolated solutions and for the
     numerical irreducible decomposition.
   * Treats positive-dimensional solutions by computing witness sets.
   * Has automatic differentiation which preserves the straightline quality of an input system.
   * Uses homogenization to accurately compute solutions at infinity.
   * Provides a fractional power-series endgame to accurately compute singular roots.
   * Allows for subfunctions.
   * Allows for witness set manipulation via both sampling and membership testing.
   * Accepts square or nonsquare systems.