• INTLAB

  • Referenced in 426 articles [sw04004]
  • univariate functions univariate polynomial zeros (simple and clusters) interval arithmetic for real and complex data ... including vectors and matrices (very fast) interval arithmetic for real and complex sparse matrices (very ... simple) univariate functions univariate and multivariate (interval) polynomials rigorous real interval standard functions (fast, very ... interpreted, reference implementation, slow) multiple precision interval arithmetic with error bounds (does the job, slow...
  • REDUCE

  • Referenced in 740 articles [sw00789]
  • capabilities include: expansion and ordering of polynomials and rational functions; substitutions and pattern matching ... symbolic matrices; arbitrary precision integer and real arithmetic; facilities for defining new functions and extending ... syntax; analytic differentiation and integration; factorization of polynomials; facilities for the solution of a variety...
  • FLINT

  • Referenced in 50 articles [sw00297]
  • theory, including highly optimised routines for polynomial arithmetic and linear algebra in exact rings...
  • HolonomicFunctions

  • Referenced in 48 articles [sw06666]
  • HolonomicFunctions: computations in Ore algebras (noncommutative polynomial arithmetic with mixed difference-differential operators), noncommutative Gröbner...
  • MultRoot

  • Referenced in 98 articles [sw00604]
  • blackbox-type software, MultRoot requires the polynomial coefficients as the only input, and outputs ... multiple roots without using multiprecision arithmetic, even if the polynomial coefficients are inexact. A comprehensive...
  • ISOLATE

  • Referenced in 213 articles [sw07741]
  • Krandick’s variant, independently of the input polynomial. From this new algorithm, we derive ... semi-numerical version, using multi-precision interval arithmetic. We finally show that these critical optimizations ... algorithm still works with huge polynomials, including orthogonal polynomials of degree 1000 and more, which...
  • Risa/Asir

  • Referenced in 110 articles [sw00806]
  • operations, such as arithmetic operations, to algebraic objects, e.g., numbers and polynomials, which are already...
  • UBASIC

  • Referenced in 30 articles [sw06033]
  • adds exact rational arithmetic and arithmetic of polynomials with complex, rational, or modulo p coefficients...
  • FOXBOX

  • Referenced in 16 articles [sw00307]
  • underlying field and polynomial arithmetic. Multiple arithmetic plugins can be used in the same computation...
  • MPSolve

  • Referenced in 14 articles [sw05298]
  • solution of (systems of) polynomial equations, polynomial arithmetic, gcd and lcm computations, Euclidean algorithm, polynomial...
  • modpn

  • Referenced in 14 articles [sw06759]
  • modpn library: bringing fast polynomial arithmetic into Maple. We investigate the integration of C implementation...
  • alphaCertified

  • Referenced in 45 articles [sw07351]
  • certify solutions of polynomial systems using both exact rational arithmetic and arbitrary precision floating point...
  • NCPOLY

  • Referenced in 6 articles [sw13518]
  • REDUCE noncom mechanism for elementary polynomial arithmetic; the commutator rules are automatically computed from ... brackets. You can perform polynomial arithmetic directly, including division and actorization. Additionally NCPOLY supports computations ... right), especially one sided Gröbner bases and polynomial reduction...
  • AlgoPy

  • Referenced in 8 articles [sw16107]
  • combination of univariate Taylor polynomial arithmetic and matrix calculus in the (combined) forward/reverse mode...
  • Fermat

  • Referenced in 40 articles [sw00277]
  • University, that does arithmetic of arbitrarily long integers and fractions, multivariate polynomials, symbolic calculations, matrices...
  • FXT

  • Referenced in 9 articles [sw05348]
  • arithmetics are implemented. Operations on binary polynomials and arithmetics in finite fields...
  • Arb

  • Referenced in 44 articles [sw07822]
  • arithmetic, developed by Fredrik Johansson (fredrik.johansson@gmail.com). It supports efficient high-precision computation with polynomials, power...
  • ObservabilityTest

  • Referenced in 20 articles [sw36921]
  • problem in polynomial time. A bound for the necessary number of arithmetic operations...
  • BPAS

  • Referenced in 8 articles [sw08399]
  • BPAS library provides support for arithmetic operations with polynomials on modern computer architectures, in particular...
  • NFLlib

  • Referenced in 4 articles [sw14675]
  • theory libraries NTL and flint implementing polynomial arithmetic, and the optimized library for lattice homomorphic ... HElib): restricting the library to the aforementioned polynomial ring allows to gain several orders...