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 "new progress in univariate polynomial root finding"):
  Abstract: Univariate polynomial root-finding has been studied for four millennia and is still the subject of intensive research. Hundreds of efficient algorithms for this task have been proposed. Two of them are nearly optimal. The first one was proposed in 1995; it relies on recursive factorization of a polynomial, is quite involved, and has never been implemented. The second one was proposed in 2016, relies on subdivision iterations, was implemented in 2018, and promises to be practically competitive, although user's current choice for univariate polynomial root-finding is the package MPSolve, proposed in 2000, revised in 2014, and based on Ehrlich's functional iterations. By incorporating some old and new techniques we significantly accelerate subdivision and Ehrlich's iterations; as by-product we also accelerate path-following Newton's iterations for root-finding.. Moreover our acceleration of the known subdivision root-finders is dramatic in the case of sparse input polynomials. Some of our techniques promise to be valuable for the design and analysis of other polynomial root-finders as well.

Includes members:
  Member "polynomial root clustering and explicit deflation":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "polynomial factorization is simple and helpful more so than it seems to be")
  Member "implementation of a near optimal complex root clustering algorithm":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "new practical advances in polynomial root clustering")
  Member "computing real roots of real polynomials and now for real":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "effective coefficient asymptotics of multivariate rational functions via semi numerical algorithms for polynomial systems")
  Member "real polynomial root finding by means of matrix and polynomial iterations":
    also connected through other hyperedges:
      (none)
  Member "a near optimal subdivision algorithm for complex root isolation based on the pellet test and newton iteration":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "new practical advances in polynomial root clustering")
  Member "nearly optimal computations with structured matrices":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "a nearly optimal algorithm to decompose binary forms")
  Member "a numerical algorithm for zero counting i complexity and accuracy":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "computing the homology of semialgebraic sets i lax formulas")

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)