6.2.19 Border Basis |
BB.ASgens | Computes the generators of the vanishing ideal of a border basis scheme. |
BB.ASneighbors | Computes a list of across-the-street neighbors. |
BB.BBasis | Computes the border basis of a zero-dimensional ideal. |
BB.BBasisForMP | Computes the border basis of a zero-dimensional ideal generated by marked polynomials. |
BB.BBasisForOI | Computes the border basis of an ideal w.r.t. a given order ideal. |
BB.BBscheme | Computes the defining equations of a border basis scheme. |
BB.Border | Computes the border of an order ideal. |
BB.BorderDivAlg | Applies the border division algorithm. |
BB.Box | Computes a box order ideal. |
BB.CoeffOfBB | Computes the coefficient matrix of a border basis. |
BB.GenericBB | Computes a generic border basis. |
BB.GenericHomBB | Computes a generic homogeneous border basis. |
BB.GenHomMultMat | Computes a generic homogeneous multiplication matrix. |
BB.GenMultMat | Computes a generic multiplication matrix. |
BB.HomASgens | Computes the generators of the vanishing ideal of a homogeneous border basis scheme. |
BB.HomBBscheme | Computes the defining equations of a homogeneous border basis scheme. |
BB.HomNDgens | Computes the generators of the vanishing ideal of a homogeneous border basis scheme. |
BB.LiftAS | Computes the border basis scheme ideal generators obtained from lifting of AS neighbours. |
BB.LiftASViaServer | Computes the border basis scheme ideal generators obtained from lifting of AS neighbours. |
BB.LiftHomAS | Computes the homogeneous border basis scheme generators obtained from lifting of AS neighbours. |
BB.LiftHomND | Computes the homogeneous border basis scheme ideal generators obtained from lifting of next-door neighbors. |
BB.LiftND | Computes the border basis scheme ideal generators obtained from lifting of next-door neighbours. |
BB.LiftNDViaServer | Computes the border basis scheme ideal generators obtained from lifting of next-door neighbors. |
BB.MultMat | Computes the i-th multiplication matrix associated to a border basis. |
BB.NDgens | Computes the generators of the vanishing ideal of a border basis scheme. |
BB.NDneighbors | Computes a list of next-door neighbors. |
BB.TransformBBIntoGB | Transforms a border basis into a Groebner basis. |
BB.TransformGBIntoBB | Transforms a Groebner basis into a border basis. |
BBF.Cancel | Cancels the current border basis computation. |
BBF.Finish | Finishes a border basis computation. |
BBF.Init | Initializes a border basis computation. |
BBF.Quit | Terminates the ApCoCoABBFServer. |
BBF.RetrieveBorderBasis | Retrieves a computed border basis. |
BBF.RetrieveBorderBasisLTs | Retrieves leading terms of a computed border basis. |
BBF.RetrieveBorderBasisPolyByLT | Retrieves a computed border basis polynomial. |
BBF.RetrieveOGenerators | Retrieves generators of the order ideal. |
BBF.RetrieveUGenerators | Retrieves generators of the order ideal. |
BBF.RetrieveV | Retrieves polynomials from V. |
BBF.RetrieveVLTs | Retrieve leading terms of polynomials of V. |
BBF.RetrieveVPolysWithTermInSupport | Retrieves polynomials with specific support term from V. |
BBF.RetrieveWPrime | Retrieves polynomials from W'. |
BBF.RetrieveWPrimeLTs | Retrieves leading terms of polynomials of W'. |
BBF.Status | Retrieves status information from ApCoCoABBFServer. |
BBF.Steps | Executes border basis computation steps. |
BBF.SwitchPort | Changes the ApCoCoABBFServer communication port. |
Num.IsAppBB | Checks if a given set of polynomials is an approximate border basis. |