• Tyrolean

  • Referenced in 91 articles [sw07830]
  • order, lexicographic path order, loop detection, matrix interpretation, polynomial interpretation, predictive labeling, recursive SCC, root...
  • REDUCE

  • Referenced in 746 articles [sw00789]
  • syntax; analytic differentiation and integration; factorization of polynomials; facilities for the solution of a variety ... wide variety of special functions; Dirac matrix calculations of interest to high energy physicists...
  • PVM

  • Referenced in 50 articles [sw06610]
  • order finite volume solvers, called PVM (polynomial viscosity matrix), for balance laws or, more generally ... computed by a suitable polynomial evaluation of a Roe matrix. These methods have the advantage...
  • quadeig

  • Referenced in 34 articles [sw11532]
  • left eigenvectors of dense quadratic matrix polynomials. It incorporates scaling of the problem parameters prior ... eigenvalues contributed by singular leading and trailing matrix coefficients. The algorithm is backward-stable...
  • eigs

  • Referenced in 325 articles [sw03702]
  • corresponding eigenvectors of a large general square matrix (which reduces to the Lanczos method ... shifted QR-iteration, the author applies a polynomial filter to the Arnoldi (Lanczos) vector...
  • INTLAB

  • Referenced in 472 articles [sw04004]
  • simple) univariate functions univariate and multivariate (interval) polynomials rigorous real interval standard functions (fast, very ... inner inclusions) accurate summation, dot product and matrix-vector residuals (interpreted, reference implementation, slow) multiple...
  • Fermat

  • Referenced in 42 articles [sw00277]
  • care most about is oriented toward polynomial and matrix algebra over the rationals...
  • IRAM

  • Referenced in 205 articles [sw08795]
  • Implicit application of polynomial filters in a k-step Arnoldi method. The author describes ... corresponding eigenvectors of a large general square matrix (which reduces to the Lanczos method ... shifted QR-iteration, the author applies a polynomial filter to the Arnoldi (Lanczos) vector...
  • GloptiPoly

  • Referenced in 329 articles [sw04343]
  • after some transformation) of the GPM with polynomial data.The approach is similar to that used ... hierarchy of semidefinite programming (SDP), or linear matrix inequality (LMI) relaxations of the GPM, whose...
  • MPSolve

  • Referenced in 14 articles [sw05298]
  • power series factorizations, spectral factorizations, matrix polynomials and matrix power series, interpolation problems, orthogonal polynomials...
  • Differentiation Matrix Suite

  • Referenced in 254 articles [sw12762]
  • Matlab differentiation matrix suite. A software suite consisting of 17 MATLAB functions for solving differential ... barycentric formulas, and computing roots of orthogonal polynomials. It is demonstrated...
  • BiCGstab

  • Referenced in 128 articles [sw04022]
  • equations with a non-singular n×n matrix are studied. The basis of these method ... investigations of the BiCG part and the polynomial part. The second one is used...
  • Polynomial Toolbox

  • Referenced in 33 articles [sw07237]
  • symmetric polynomial equations with complex coefficients are studied in the scalar and matrix case ... Polynomial reduction algorithms are first described to study theoretical properties of the equations. Sylvester matrix ... equations. The algorithms are implemented in the Polynomial Toolbox for Matlab...
  • DGGHR3

  • Referenced in 7 articles [sw13050]
  • triangular reduction of Fiedler linearization of matrix polynomials. Small- to medium-sized polynomial eigenvalue problems ... solved by linearizing the matrix polynomial and solving the resulting generalized eigenvalue problem using ... turn, requires an initial reduction of a matrix pair to Hessenberg-triangular (HT) form ... reduction of a specific linearization of matrix polynomials of arbitrary degree. The proposed algorithm exploits...
  • DGGHRD

  • Referenced in 7 articles [sw13051]
  • triangular reduction of Fiedler linearization of matrix polynomials. Small- to medium-sized polynomial eigenvalue problems ... solved by linearizing the matrix polynomial and solving the resulting generalized eigenvalue problem using ... turn, requires an initial reduction of a matrix pair to Hessenberg-triangular (HT) form ... reduction of a specific linearization of matrix polynomials of arbitrary degree. The proposed algorithm exploits...
  • ILUM

  • Referenced in 64 articles [sw07244]
  • form of polynomial precoditioning or applying the usual ILU factorization to a matrix obtained from...
  • Aztec

  • Referenced in 84 articles [sw12817]
  • solvers can run efficiently. If the input matrix is suitably partitioned, the efficiency ... Jacobi, block Jacobi, Gauss-Seidel, least-squares polynomials, and overlapping domain decomposition using sparse ... within domains). Aztec supports two different sparse matrix notations: a) a point-entry modified sparse...
  • Algorithm 919

  • Referenced in 71 articles [sw07350]
  • with polynomial inhomogeneity. This is equivalent to computing the action of a certain matrix function...
  • HOMPACK

  • Referenced in 122 articles [sw05324]
  • equation-based, normal flow, and augmented Jacobian matrix. Separate routines are also provided for dense ... included for the special case of polynomial systems...
  • PoCaB

  • Referenced in 7 articles [sw06416]
  • different algebraic entities e.g. stoichiometric matrix, polynomial system, deficiency and flux cones which are prerequisite...