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 "a near optimal subdivision algorithm for complex root isolation based on the pellet test and newton iteration"):
  Abstract: We describe a subdivision algorithm for isolating the complex roots of a polynomial $F\in\mathbb{C}[x]$. Given an oracle that provides approximations of each of the coefficients of $F$ to any absolute error bound and given an arbitrary square $\mathcal{B}$ in the complex plane containing only simple roots of $F$, our algorithm returns disjoint isolating disks for the roots of $F$ in $\mathcal{B}$. Our complexity analysis bounds the absolute error to which the coefficients of $F$ have to be provided, the total number of iterations, and the overall bit complexity. It further shows that the complexity of our algorithm is controlled by the geometry of the roots in a near neighborhood of the input square $\mathcal{B}$, namely, the number of roots, their absolute values and pairwise distances. The number of subdivision steps is near-optimal. For the \emph{benchmark problem}, namely, to isolate all the roots of a polynomial of degree $n$ with integer coefficients of bit size less than $\tau$, our algorithm needs $\tilde O(n^3+n^2\tau)$ bit operations, which is comparable to the record bound of Pan (2002). It is the first time that such a bound has been achieved using subdivision methods, and independent of divide-and-conquer techniques such as Sch\"onhage's splitting circle technique. Our algorithm uses the quadtree construction of Weyl (1924) with two key ingredients: using Pellet's Theorem (1881) combined with Graeffe iteration, we derive a "soft-test" to count the number of roots in a disk. Using Schr\"oder's modified Newton operator combined with bisection, in a form inspired by the quadratic interval method from Abbot (2006), we achieve quadratic convergence towards root clusters. Relative to the divide-conquer algorithms, our algorithm is quite simple with the potential of being practical. This paper is self-contained: we provide pseudo-code for all subroutines used by our algorithm.

Includes members:
  Member "computing real roots of real polynomials and now for real":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "new progress in univariate polynomial root finding")
  Member "a near optimal algorithm for computing real roots of sparse polynomials":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "efficiently computing real roots of sparse polynomials")
  Member "fast approximate polynomial multipoint evaluation and applications":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "fast and rigorous arbitrary precision computation of gauss legendre quadrature nodes and weights")
  Member "computing real roots of real polynomials":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "alternating minimization based trajectory generation for quadrotor aggressive flight")
  Member "from approximate factorization to root isolation with application to cylindrical algebraic decomposition":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "effective coefficient asymptotics of multivariate rational functions via semi numerical algorithms for polynomial systems")
  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-6 (induced by source paper "on the complexity of computing the topology of real algebraic space curves")
  Member "sqfreeeval an almost optimal real root isolation algorithm":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "the complexity of subdivision for diameter distance tests")

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)