• REDUCE

  • Referenced in 746 articles [sw00789]
  • include: expansion and ordering of polynomials and rational functions; substitutions and pattern matching ... wide variety of special functions; Dirac matrix calculations of interest to high energy physicists...
  • Gensys

  • Referenced in 88 articles [sw26837]
  • describe methods for solving general linear rational expectations models in continuous or discrete timing with ... exogenous variables. The methods are based on matrix eigenvalue decompositions...
  • Fermat

  • Referenced in 41 articles [sw00277]
  • oriented toward polynomial and matrix algebra over the rationals Q and finite fields...
  • NLEIGS

  • Referenced in 34 articles [sw22547]
  • approach for the computation of rational divided differences using matrix functions is presented ... computational cost comparable to the Newton rational Krylov method but converges more reliably, in particular...
  • AClib

  • Referenced in 11 articles [sw09512]
  • length 3 or 4 has a rational matrix representation of dimension 4 or 5, respectively...
  • Nilmat

  • Referenced in 20 articles [sw08583]
  • finitely generated matrix group over a finite field or the field of rational numbers...
  • Polenta

  • Referenced in 5 articles [sw08602]
  • provides methods to compute polycyclic presentations of matrix groups (finite or infinite ... example, if G is a rational polycyclic matrix group, then we can compute the radical...
  • LFTB

  • Referenced in 3 articles [sw02546]
  • maximum singular value of a multidimensional rational matrix function, or linear fractional transformation, over...
  • na8

  • Referenced in 5 articles [sw11513]
  • satisfied by the $L_2$ optimal rational transfer matrix approximating a given higher order transfer...
  • Tensorlab

  • Referenced in 77 articles [sw14255]
  • structured data fusion: define your own (coupled) matrix and tensor factorizations with structured factors ... differentiation, global minimization of bivariate polynomials and rational functions: both real and complex exact line...
  • Janet

  • Referenced in 37 articles [sw07776]
  • operators in characteristic zero whose coefficients are rational functions, an elementary divisor algorithm [Rehm 2001/2002 ... compute the Jacobson normal form of a matrix with entries in this Weyl algebra. Among...
  • QuillenSuslin

  • Referenced in 13 articles [sw08611]
  • invertible matrix over the given polynomial ring with rational or integer coefficients. The package...
  • MPSolve

  • Referenced in 14 articles [sw05298]
  • matrix polynomials and matrix power series, interpolation problems, orthogonal polynomials and rational functions.Efficiency...
  • Genius

  • Referenced in 11 articles [sw05351]
  • deal with rational numbers and complex numbers. It has matrix support as well. It uses...
  • gmp

  • Referenced in 4 articles [sw20881]
  • Precision Arithmetic (big integers and rationals, prime number tests, matrix computation), ”arithmetic without limitations” using...
  • Congruence

  • Referenced in 2 articles [sw08632]
  • that is, 2×2 matrix rings over either the rationals, a quadratic imaginary extension ... commutative division algebra, in its rational group algebra. The aim of the paper ... exception of 2×2 matrix rings over the rationals introducing finitely many...
  • ASpecPaired-Matrix

  • Referenced in 3 articles [sw15022]
  • presented. For the matrix case, nontrivial essentially bounded and rational examples, computed with the analytical...
  • ASpecPaired-Scalar

  • Referenced in 3 articles [sw15023]
  • presented. For the matrix case, nontrivial essentially bounded and rational examples, computed with the analytical...
  • EVSL

  • Referenced in 11 articles [sw27222]
  • density of a given matrix, or a matrix pair. What distinguishes EVSL from other currently ... relies entirely on filtering techniques. Polynomial and rational filtering are both implemented and are coupled ... package offers interfaces for various scenarios including matrix-free modes, whereby the user can supply...
  • IML - Integer Matrix Library

  • Referenced in 16 articles [sw00440]
  • Integer Matrix Library. IML is a free library of C source code which implements algorithms ... Currently, IML provides the following functionality: Nonsingular rational system solving: compute the unique rational solution ... Compute the right nullspace of an integer matrix. Certified linear system solving: compute a minimal...