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Algorithm 493

Algorithm 493: Zeros of a real polynomial.

Keywords for this software

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  • quartic equation
  • Newton-Raphson scheme
  • implied volatility
  • lower bound
  • elimination of participants
  • nonlinear optimization
  • cubic equation
  • thick tube
  • target priorities
  • finite element method
  • numerical solver design
  • quantitative finance
  • aircraft control
  • guidance
  • high-precision numerical calculations
  • performance
  • zeros of polynomial
  • risk-neutral density
  • de Bruijn-Newman constant
  • error estimates
  • Riemann hypothesis
  • polynomial roots
  • factorization into quadratics
  • target assignment
  • arbitrage-free
  • stochastic collocation

  • URL: dl.acm.org/citation.cf...
  • InternetArchive
  • Authors: Jenkins, M.A.

  • Add information on this software.


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References in zbMATH (referenced in 7 articles , 1 standard article )

Showing results 1 to 7 of 7.
y Sorted by year (citations)

  1. Orellana, Alberto Giacomo; De Michele, Cristiano: Algorithm 1010: Boosting efficiency in solving quartic equations with no compromise in accuracy (2020)
  2. Le Floc’h, Fabien; Oosterlee, Cornelis W.: Model-free stochastic collocation for an arbitrage-free implied volatility. I. (2019)
  3. Merkulov, V. I.; Plyashechnik, A. S.: Simplified target assignment problem for group engagement of aircraft (2019)
  4. Flocke, N.: Algorithm 954: An accurate and efficient cubic and quartic equation solver for physical applications (2015)
  5. Heitzer, M.: Statical shakedown analysis with temperature-dependent yield condition (2004)
  6. Csordas, G; Norfolk, T. S.; Varga, R. S.: A lower bound for the de Bruijn-Newman constant (\Lambda) (1988)
  7. Jenkins, M. A.: Zeros of a real polynomial ([C2]) (1975)

  • Article statistics & filter:

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  • MSC classification / top
    • Top MSC classes
      • 11 Number theory
      • 30 Functions of a complex...
      • 65 Numerical analysis
      • 68 Computer science
      • 74 Mechanics of deformable...
    • Other MSC classes
      • 91 Game theory, economics,...
      • 93 Systems theory; control

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    • 2005 - 2009
    • 2000 - 2004
    • before 2000
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