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−  The basic idea behind this package is to make Bertini usable in/with ApCoCoA.
 
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 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.   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. 
   
 {{ApCoCoAServer}}   {{ApCoCoAServer}} 
   
−  '''NUMERICAL ALGEBRAIC GEOMETRY:'''
 
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−  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.
 
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−  '''Bertini:''' Software for Numerical Algebraic Geometry
 
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−  Bertini is a software desgined for computations in Numerical Algebric Geometry, particularly, for solving polynomial systems numerically using homotopy continuation method available at [http://www.nd.edu/~sommese/bertini/]. Its a generalpurpose solver, written in C, that was created for research about polynomial continuation. The Key Features of Bertini are:
 
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−  * Finds isolated solutions using totaldegree start systems, multihomogeneousdegree start systems, and also user defined homotopies.
 
−  * Implements parameter continuation for families of systems, such as the inverse kinematics of sixrevolute seriallink arms, or the forward kinematics of StewartGough parallellink robots.
 
−  * Adaptive multiprecision implemented for finding isolated solutions and for the numerical irreducible decomposition.
 
−  * Treats positivedimensional 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 powerseries 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.
 
   
   
   
 [[Category:ApCoCoA_Manual]]   [[Category:ApCoCoA_Manual]] 
Revision as of 16:04, 8 July 2009
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.
Pages in category "ApCoCoA1:Package slinalg"
The following 2 pages are in this category, out of 2 total.