human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "fast approximate polynomial multipoint evaluation and applications"):
  Abstract: It is well known that, using fast algorithms for polynomial multiplication and division, evaluation of a polynomial F 2 C[x] of degree n at n complex-valued points can be done with ~ O(n) exact eld operations in C; where ~ O( ) means that we omit polylogarithmic factors. We complement this result by an analysis of approximate multipoint evaluation of F to a precision of L bits after the binary point and prove a bit complexity of ~ O(n(L + +n)) ; where 2 and 2 ; with ; 2 N 1; are bounds on the magnitude of the coecients of F and the evaluation points, respectively. In particular, in the important case where the precision demand dominates the other input parameters, the complexity is soft-linear in n and L: Our result on approximate multipoint evaluation has some interesting consequences on the bit complexity of three further approximation algorithms which all use polynomial evaluation as a key subroutine. This comprises an algorithm to approximate the real roots of a polynomial, an algorithm for polynomial interpolation, and a method for computing a Taylor shift of a polynomial. For all of the latter algorithms, we derive near optimal running times.

Includes members:
  Member "when newton meets descartes a simple and fast algorithm to isolate the real roots of a polynomial":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "on the complexity of computing the topology of real algebraic space curves")
  Member "root refinement for real polynomials":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "computing real roots of real polynomials")
  Member "fast integer multiplication using modular arithmetic":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "faster integer multiplication using short lattice vectors")

Question: Please tell me which class the source paper belongs to. The 40 classes are: cs.NA(Numerical Analysis), cs.MM(Multimedia), cs.LO(Logic in Computer Science), cs.CY(Computers and Society), cs.CR(Cryptography and Security), cs.DC(Distributed, Parallel, and Cluster Computing), cs.HC(Human-Computer Interaction), cs.CE(Computational Engineering, Finance, and Science), cs.NI(Networking and Internet Architecture), cs.CC(Computational Complexity), cs.AI(Artificial Intelligence), cs.MA(Multiagent Systems), cs.GL(General Literature), cs.NE(Neural and Evolutionary Computing), cs.SC(Symbolic Computation), cs.AR(Hardware Architecture), cs.CV(Computer Vision and Pattern Recognition), cs.GR(Graphics), cs.ET(Emerging Technologies), cs.SY(Systems and Control), cs.CG(Computational Geometry), cs.OH(Other Computer Science), cs.PL(Programming Languages), cs.SE(Software Engineering), cs.LG(Machine Learning), cs.SD(Sound), cs.SI(Social and Information Networks), cs.RO(Robotics), cs.IT(Information Theory), cs.PF(Performance), cs.CL(Computation and Language), cs.IR(Information Retrieval), cs.MS(Mathematical Software), cs.FL(Formal Languages and Automata Theory), cs.DS(Data Structures and Algorithms), cs.OS(Operating Systems), cs.GT(Computer Science and Game Theory), cs.DB(Databases), cs.DL(Digital Libraries), cs.DM(Discrete Mathematics). Directly output the class name.

gpt: cs.NA(Numerical Analysis)