top
|
index
|
Macaulay2 web site
Bertini : Table of Contents
Bertini
-- software for numerical algebraic geometry
AffVariableGroup
-- See help for bertiniParameterHomotopy and/or makeB'InputFile.
B'Configs
-- An option to designate the CONFIG part of a Bertini Input file.
B'Constants
-- An option to designate the constants for a Bertini Input file.
B'Functions
-- An option which designates sub-functions or a polynomial system as a straight line program.
b'PHGaloisGroup
-- Uses homotopy continuation to compute monodromy/Galois groups.
b'PHMonodromyCollect
-- Uses monodromy to find more solutions to a parameterized system of polynomial equations.
b'PHSequence
-- b'PHSequence performs a sequence of parameter homotopies.
B'Polynomials
-- An option which designates the polynomials that we want to solve.
B'Section
-- This is a mutable hash table that gives information about a hyperplane used to slice a numerical variety.
B'Slice
-- This is a mutable hash table that gives information about a linear space used to slice a numerical variety.
b'TraceTestImage
-- A trace test for the image of a polynomial map.
Bertini options
-- options for methods of Bertini package
bertiniComponentMemberTest
-- test whether points lie on a given variety
bertiniImageMonodromyCollect
-- Uses monodromy to find more solutions to a parameterized system of polynomial equations.
bertiniParameterHomotopy
-- run parameter homotopy in Bertini
bertiniPosDimSolve
-- solve positive-dimensional system of equations
bertiniRefineSols
-- sharpen solutions to a prescribed number of digits
bertiniSample
-- sample points from an irreducible component of a variety
bertiniTrackHomotopy
-- track a user-defined homotopy
bertiniTrackHomotopy(..., Verbose => ...)
-- Option to silence additional output
bertiniUserHomotopy
-- track a user-defined homotopy
bertiniZeroDimSolve
-- solve zero-dimensional system of equations
CopyB'File
-- optional argument to specify whether make a copy of the file.
importIncidenceMatrix
-- Imports an incidence matrix file after running makeMembershipFile.
importMainDataFile
-- This function imports points from the main data file form a Bertini run.
importParameterFile
-- Imports parameters from a Bertini parameter file.
importSolutionsFile
-- Imports coordinates from a Bertini solution file.
IsProjective
-- optional argument to specify whether to use homogeneous coordinates
M2Precision
-- Option to change the precision Macaulay2 uses to import the files.
makeB'InputFile
-- write a Bertini input file in a directory
makeB'Section
-- makeB'Section creates a hash table that represents a hyperplane.
makeB'Slice
-- makeB'Slice creates a hash table that represents a linear slice.
makeMembershipFile
-- Creates a Bertini incidence_matrix file using Tracktype 3..
makeSampleSolutionsFile
-- This function samples points from a component by performing a Bertini TrackType 2.
makeWitnessSetFiles
-- This function creates a witness point file and a slice file.
moveB'File
-- Move or copy files.
NameB'InputFile
-- This option names the input file.
NameParameterFile
-- This option names the parameter file.
NamePolynomials
-- An option which designates the names of the polynomials we want to solve.
NameSolutionsFile
-- options determine the name of a file to be imported or written.
NumberToB'String
-- Translates a number to a string that Bertini can read.
OutputSyle
-- Used to change the output style.
ParameterGroup
-- An option which designates the parameters for a Parameter Homotopy.
PrintMidStatus
-- Print outputs of intermediate computations.
radicalList
-- A support function that removes multiplicities of numbers in a list up to a tolerance.
RandomReal
-- An option which designates symbols/strings/variables that will be set to be a random real number or random complex number.
readFile
-- Read the first lines of a file.
replaceFirstLine
-- Replaces the first line of a file with a string.
runBertini
-- Calls Bertini.
SolutionFileStyle
-- This is to adjust to the different ways Bertini stores solutions.
sortMainDataComponents
-- Sorts imported main data into components.
StartFileDirectory
-- This option or key is for a function that is in active development.
storeBM2Files
(missing documentation)
subPoint
-- This function evaluates a polynomial or matrix at a point.
TopDirectory
-- Option to change directory for file storage.
valueBM2
-- This function makes a number in CC from a string.
writeParameterFile
-- Writes the list of parameter values to a file that Bertini can read.
writeStartFile
-- Writes the list of list of coordinates to a file that Bertini can read.