
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 backwardstable...

eigs
 Referenced in 325 articles
[sw03702]
 corresponding eigenvectors of a large general square matrix (which reduces to the Lanczos method ... shifted QRiteration, 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 matrixvector 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 kstep Arnoldi method. The author describes ... corresponding eigenvectors of a large general square matrix (which reduces to the Lanczos method ... shifted QRiteration, 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 nonsingular 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 mediumsized 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 Hessenbergtriangular (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 mediumsized 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 Hessenbergtriangular (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, GaussSeidel, leastsquares polynomials, and overlapping domain decomposition using sparse ... within domains). Aztec supports two different sparse matrix notations: a) a pointentry 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]
 equationbased, 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...