• Eigensolve

  • Referenced in 25 articles [sw11986]
  • that approximates all roots of a univariate polynomial. The iteration is based on floating-point ... generalized companion matrix. A few interesting examples including ill-conditioned polynomials are carefully implemented...
  • QuillenSuslin

  • Referenced in 13 articles [sw08611]
  • polynomial ring. In terms of matrices, this algorithm completes a unimodular rectangular matrix ... unimodular row) to an invertible matrix over the given polynomial ring with rational or integer...
  • HOMPACK90

  • Referenced in 47 articles [sw00412]
  • based, normal flow, quasi-Newton augmented Jacobian matrix – are provided for tracking homotopy zero curves ... level driver for the special case of polynomial systems is also provided. Changes to HOMPACK ... games, support for several sparse matrix data structures, and new iterative algorithms for large sparse...
  • Algorithm 767

  • Referenced in 2 articles [sw04678]
  • column reduction of polynomial matrices. A polynomial matrix is called column-reduced if its column ... equivalent if there exists a unimodular polynomial matrix U such that PU=R. Every polynomial ... unimodularly equivalent to a column-reduced polynomial matrix. In this article, a subroutine is described ... that takes a polynomial matrix P as input and yields on output a unimodular matrix...
  • AlgoPy

  • Referenced in 10 articles [sw16107]
  • combination of univariate Taylor polynomial arithmetic and matrix calculus in the (combined) forward/reverse mode...
  • NACLab

  • Referenced in 19 articles [sw14672]
  • hypersensitive algebraic problems from approximate data. Intuitive polynomial computation interface in Matlab. Soving linear equation ... deficient, without matrix input from the use. NAClab features convenient WYSIWYG polynomial input, output...
  • CUMODP

  • Referenced in 8 articles [sw08402]
  • arithmetic operations for dense matrices and dense polynomials, primarily with modular integer coefficients. Some operations ... point coefficients. Typical operations are matrix determinant computation, polynomial multiplication (both plain and FFT-based...
  • SPOT

  • Referenced in 6 articles [sw21276]
  • SPOT (Systems Polynomial Optimization Tools) is a MATLAB toolbox written as an alternative implementation ... R2009a). SPOT provides its own matrix multivariable polynomial variable class msspoly for handling elementary polynomial...
  • ERES

  • Referenced in 8 articles [sw12686]
  • computation of the greatest common divisor of polynomials and comparison with other existing methodologies ... ERES) method is a new estimating iterative matrix-based method. This paper presents the implementation ... greatest common divisor of several polynomials. The ERES algorithm performs row transformations and shifting ... matrix formed directly form the coefficients of the given polynomials and determines a vector containing...
  • Tensorlab

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

  • Referenced in 24 articles [sw30547]
  • computing Jack, Hermite, Laguerre, and Jacobi multivariate polynomials, as well as eigenvalue statistics ... Hermite, Laguerre, and Jacobi ensembles of random matrix theory. We also compute multivariate hypergeometric functions...
  • MathPartner

  • Referenced in 4 articles [sw37531]
  • special functions, as well as matrix and polynomial operators. This service allows one to build...
  • FIDE

  • Referenced in 5 articles [sw09196]
  • CHARPOL for calculating the amplification matrix and characteristic polynomial of difference schemes, which are needed ... Fourier stability analysis. HURWP for locating polynomial roots necessary in verifying the von Neumann stability ... system of linear algebraic equations with band matrix appearing frequently in difference schemes. The FIDE...
  • IQPACK

  • Referenced in 8 articles [sw00450]
  • symmetric tridiagonal) Jacobi matrix J associated with the polynomials orthogonal on (a,b) with respect...
  • MemHyb

  • Referenced in 15 articles [sw25194]
  • matrix and split amino acid composition to effectively discriminate membrane protein types. Linear, polynomial...
  • EG

  • Referenced in 10 articles [sw11548]
  • order m, and their entries are polynomials in x over a number field K, with ... leading matrix A ¯ r (x) of this system is a nonzero polynomial...
  • irbleigs

  • Referenced in 19 articles [sw00451]
  • accessed only through the evaluation of matrix-vector products. Working space of only ... block-Lanczos method. Judicious choices of acceleration polynomials make it possible to compute approximations ... left singular vectors of a large general matrix...
  • EVSL

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