• Polynomial Toolbox

  • Referenced in 31 articles [sw07237]
  • equations with complex coefficients. Discrete-time symmetric polynomial equations with complex coefficients are studied ... several algorithms are proposed and evaluated. Polynomial reduction algorithms are first described to study theoretical...
  • PVM

  • Referenced in 30 articles [sw06610]
  • viscosity matrices computed by a suitable polynomial evaluation of a Roe matrix. These methods have...
  • FIAT

  • Referenced in 33 articles [sw00287]
  • computation is constrained by the difficulty of evaluating high-order nodal basis functions. While most ... finite element basis functions from orthonormal polynomials and evaluate and differentiate them at any points...
  • ORBIT

  • Referenced in 30 articles [sw20552]
  • nonlinear functions using fewer function evaluations than the polynomial models considered by present techniques. Approximation ... relatively small number of expensive function evaluations are available. Results on two very different application...
  • SecDec

  • Referenced in 31 articles [sw06834]
  • program for the numerical evaluation of multi-dimensional polynomial parameter integrals. Singularities regulated by dimensional ... extracted using iterated sector decomposition. The program evaluates the coefficients of a Laurent series...
  • FOXBOX

  • Referenced in 16 articles [sw00307]
  • variables as input and evaluates the polynomial at that given point. FOXBOX can compute...
  • PoSSo

  • Referenced in 31 articles [sw04646]
  • Polynomial test suite. The aim of this data base is to provide a list ... used to illustrate, compare, evaluate different methods for solving polynomial systems. system. the latex source...
  • PARAM

  • Referenced in 10 articles [sw09669]
  • this class. Due to parametricity, evaluation results are polynomials or rational functions. By instantiating...
  • POLYNOMIAL

  • Referenced in 3 articles [sw20655]
  • polynomials is presented. The construction and evaluation of polynomials in Bernstein form are motivated ... polynomial is not given with this representation are provided. The presented adaptive evaluation algorithm uses ... algorithms to perform other usual operations with polynomials in Bernstein form...
  • BPAS

  • Referenced in 8 articles [sw08399]
  • hardware accelerators. Typical operations are polynomial multiplication, multi-point evaluation and interpolation, real root isolation ... BPAS distribution contains code for dense polynomials whose coefficients can be either rational numbers...
  • CUMODP

  • Referenced in 8 articles [sw08402]
  • algorithm for univariate polynomial GCD, subproduct tree techniques for multi-point evaluation and interpolation, subresultant...
  • FRAC

  • Referenced in 2 articles [sw31543]
  • class of algorithms are presented: function evaluations, polynomial solving, computing subfields, simplifying inverse kinematics, manipulating...
  • TRANSPORT

  • Referenced in 42 articles [sw08144]
  • code package that is used for the evaluation of gas-phase multicomponent viscosities, thermal conductivities ... first is a preprocessor that computes polynomial fits to the temperature dependent parts...
  • Algorithm 919

  • Referenced in 42 articles [sw07350]
  • Algorithm 919: A Krylov Subspace Algorithm for Evaluating the ϕ-Functions Appearing in Exponential Integrators ... linear ordinary differential equations (ODEs) with polynomial inhomogeneity. This is equivalent to computing the action...
  • AK-MCS

  • Referenced in 43 articles [sw18303]
  • more complex computer codes and the evaluation of the probability of failure may require very ... remains the numerous variants of response surfaces. Polynomial Chaos [1] and Support Vector Machine...
  • PRECISE

  • Referenced in 7 articles [sw12581]
  • Voronoi diagrams, medial axis computations and boundary evaluation involve computation and manipulation of non-linear ... polynomials characterizing the problem. The reliability of the algorithm depends on the accurate evaluation ... sign of determinants with rational entries, boundary evaluation and curve arrangements. We also present ... compute all the roots of a univariate polynomial to any desired accuracy. The computational model...
  • Polynomials

  • Referenced in 3 articles [sw32226]
  • formalized, including the substitution and evaluation homomorphisms, embeddings of polynomial rings into larger rings...
  • ProPolyne

  • Referenced in 1 article [sw01782]
  • fast wavelet-based algorithm for progressive evaluation of polynomial range-sum queries Many range aggregate ... polynomial range-sums. After demonstrating how any range-sum can be evaluated exactly ... aggregation method called ProPolyne to evaluate arbitrary polynomial range-sums progressively. At each step...
  • MOPS

  • Referenced in 19 articles [sw30547]
  • computing Jack, Hermite, Laguerre, and Jacobi multivariate polynomials, as well as eigenvalue statistics ... functions, and offer both symbolic and numerical evaluations for all these quantities. We prove that...
  • SAMURAI

  • Referenced in 26 articles [sw09145]
  • tool for the automated numerical evaluation of one-loop corrections to any scattering amplitudes within ... dimensional unitarity-cuts technique, and uses a polynomial interpolation exploiting the Discrete Fourier Transform. SAMURAI ... useful module for the systematic evaluation of the virtual corrections oriented towards automating next...