StableBBasisNBM5 swMATH ID: 6680 Software Authors: Fassino, Claudia Description: Numerical Border Basis of ideal of points This function is implemented in CoCoALib (i.e. it requires an active CoCoAServer). It also checks that the current ring is suitable: see below for details. This function returns a record containing a factor-closed set of power-products QB and a list of almost vanishing polynomials. If the cardinality of QB is equal to the number of points, it is in fact a quotient basis of the ideal of points, and in this case a border basis founded on it is also returned. Homepage: http://cocoa.dima.unige.it/download/CoCoAManual/html/cmdStableBBasisNBM5.html Dependencies: CoCoALib Keywords: Vanishing Polynomials Related Software: Genius; CoCoA; Z_LINEAR_K; GADMM; DALIA; reszeta.lib; formConv; $Apart; Apart; VINAS-P; SaddleDrop; CliffOC; CliffSymNil; CliffMath; RAGlib; ABC4EFT; Resultants; PurityFiltration; Newmat; COBYLA2 Cited in: 7 Publications all top 5 Cited by 13 Authors 1 Baake, Michael 1 Böckle, Gebhard 1 Cui, Kai 1 Fassino, Claudia 1 Grimm, Uwe 1 Hasegawa, Yoshihiko 1 Kera, Hiroshi 1 Lei, Na 1 Priebe Frank, Natalie 1 Robbiano, Lorenzo 1 Robinson, E. Arthur jun. 1 Torrente, Maria-Laura 1 Woracek, Harald Cited in 5 Serials 1 Studia Mathematica 1 Journal of Computational and Applied Mathematics 1 Le Matematiche 1 Journal of Symbolic Computation 1 Nonlinear Dynamics all top 5 Cited in 14 Fields 3 Algebraic geometry (14-XX) 3 Numerical analysis (65-XX) 2 Commutative algebra (13-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year