MonodromySolver : Index

• appendPoint -- append a point at the end of a PointArray
• appendPoint(PointArray,Point) -- append a point at the end of a PointArray
• appendPoints -- append a list of points at the end of a PointArray
• appendPoints(PointArray,List) -- append a list of points at the end of a PointArray
• AugmentEdgeCount
• AugmentGraphFunction
• AugmentNodeCount
• AugmentNumberOfRepeats
• BatchSize
• completeGraphAugment -- augment graph with the complete graph structure
• completeGraphInit -- initialize the topology of a complete graph
• computeMixedVolume -- compute mixed volume via Gfan
• computeMixedVolume(List) -- compute mixed volume via Gfan
• createSeedPair -- create initial seed for the homotopy continuation
• createSeedPair(System) -- create initial seed for the homotopy continuation
• createSeedPair(System,Point) -- create initial seed for the homotopy continuation
• dynamicFlowerSolve -- a naive dynamic strategy
• dynamicFlowerSolve(...,StoppingCriterion=>...)
• EdgesSaturated
• Equivalencer
• FilterCondition
• flowerGraphAugment -- augment graph with the flower graph structure
• flowerGraphInit -- solve via monodromy by using flower shaped graph
• getTrackTime -- elapsed time taken by solver
• getTrackTime(HomotopyGraph) -- elapsed time taken by solver
• GraphInitFunction
• HomotopyGraph
• homotopyGraph -- HomotopyGraph Constructor
• HomotopyNode
• indices(PointArray) -- returns indices of a PointArray
• length(PointArray) -- number of items stored in a PointArray
• makeBatchPotential -- batch sensitive potentialE
• member(Point,PointArray) -- test Point membership in a PointArray
• monodromyGroup -- compute the group of permutations implicitly defined by a homotopy graph
• monodromyGroup(System) -- compute the group of permutations implicitly defined by a homotopy graph
• monodromyGroup(System,Point,List) -- compute the group of permutations implicitly defined by a homotopy graph
• monodromySolve -- the main function of the MonodromySolver package
• monodromySolve(...,AugmentEdgeCount=>...)
• monodromySolve(...,AugmentGraphFunction=>...)
• monodromySolve(...,AugmentNodeCount=>...)
• monodromySolve(...,AugmentNumberOfRepeats=>...)
• monodromySolve(...,BatchSize=>...)
• monodromySolve(...,EdgesSaturated=>...)
• monodromySolve(...,GraphInitFunction=>...)
• monodromySolve(...,NumberOfEdges=>...)
• monodromySolve(...,NumberOfNodes=>...)
• monodromySolve(...,NumberOfRepeats=>...)
• monodromySolve(...,Potential=>...)
• monodromySolve(...,SelectEdgeAndDirection=>...)
• monodromySolve(...,StoppingCriterion=>...)
• monodromySolve(...,TargetSolutionCount=>...)
• monodromySolve(...,Verbose=>...)
• monodromySolve(System) -- the main function of the MonodromySolver package
• monodromySolve(System,Point,List) -- the main function of the MonodromySolver package
• MonodromySolver -- solve polynomial systems via homotopy continuation and monodromy
• MonodromySolverOptions
• net(PointArray) -- pretty printing
• NumberOfEdges
• NumberOfNodes
• NumberOfRepeats
• PartialSols
• PointArray -- a container for solutions
• pointArray -- constructor for PointArray
• PointArrayTol
• Potential
• potentialE -- the "expected" potential of an edge
• potentialLowerBound -- the potential which is equal to the minimal number of new points guaranteed to be discovered
• Randomizer
• selectBestEdgeAndDirection -- selects edge and direction based on highest potential for obtaining new information
• SelectEdgeAndDirection
• selectRandomEdgeAndDirection -- random selection of edge and direction for homotopy
• solveFamily -- a solver for parametric families with simple output
• solveFamily(...,AugmentEdgeCount=>...)
• solveFamily(...,AugmentGraphFunction=>...)
• solveFamily(...,AugmentNodeCount=>...)
• solveFamily(...,AugmentNumberOfRepeats=>...)
• solveFamily(...,BatchSize=>...)
• solveFamily(...,EdgesSaturated=>...)
• solveFamily(...,Equivalencer=>...)
• solveFamily(...,FilterCondition=>...)
• solveFamily(...,GraphInitFunction=>...)
• solveFamily(...,NumberOfEdges=>...)
• solveFamily(...,NumberOfNodes=>...)
• solveFamily(...,NumberOfRepeats=>...)
• solveFamily(...,Potential=>...)
• solveFamily(...,Randomizer=>...)
• solveFamily(...,SelectEdgeAndDirection=>...)
• solveFamily(...,StoppingCriterion=>...)
• solveFamily(...,TargetSolutionCount=>...)
• solveFamily(...,Verbose=>...)
• solveFamily(Point,System) -- a solver for parametric families with simple output
• solveFamily(System) -- a solver for parametric families with simple output
• sparseMonodromySolve -- an "out of the box" polynomial system solver
• sparseMonodromySolve(...,AugmentEdgeCount=>...)
• sparseMonodromySolve(...,AugmentGraphFunction=>...)
• sparseMonodromySolve(...,AugmentNodeCount=>...)
• sparseMonodromySolve(...,AugmentNumberOfRepeats=>...)
• sparseMonodromySolve(...,BatchSize=>...)
• sparseMonodromySolve(...,EdgesSaturated=>...)
• sparseMonodromySolve(...,Equivalencer=>...)
• sparseMonodromySolve(...,FilterCondition=>...)
• sparseMonodromySolve(...,GraphInitFunction=>...)
• sparseMonodromySolve(...,NumberOfEdges=>...)
• sparseMonodromySolve(...,NumberOfNodes=>...)
• sparseMonodromySolve(...,NumberOfRepeats=>...)
• sparseMonodromySolve(...,Potential=>...)
• sparseMonodromySolve(...,Randomizer=>...)
• sparseMonodromySolve(...,SelectEdgeAndDirection=>...)
• sparseMonodromySolve(...,StoppingCriterion=>...)
• sparseMonodromySolve(...,TargetSolutionCount=>...)
• sparseMonodromySolve(...,Verbose=>...)
• sparseMonodromySolve(PolySystem) -- an "out of the box" polynomial system solver
• SpecializedSystem
• specializeSystem -- specialize parametric system at a point in the parameter space.
• specializeSystem(Point,Matrix) -- specialize parametric system at a point in the parameter space.
• specializeSystem(Point,PolySystem) -- specialize parametric system at a point in the parameter space.
• StoppingCriterion
• TargetSolutionCount