• SageMath

  • Referenced in 1254 articles [sw00825]
  • research and teaching in algebra, geometry, number theory, cryptography, numerical computation, and related areas. Both ... Maple, Mathematica, Magma, and MATLAB. Computer algebra system...
  • Bertini

  • Referenced in 180 articles [sw06683]
  • Bertini™: Software for Numerical Algebraic Geometry. Software for solving polynomial systems. Finds isolated solutions using ... finding isolated solutions and for the numerical irreducible decomposition. Treats positive-dimensional solutions by computing...
  • NumericalAlgebraicGeometry

  • Referenced in 16 articles [sw12155]
  • Numerical algebraic geometry. Numerical algebraic geometry uses numerical data to describe algebraic varieties ... based on numerical polynomial homotopy continuation, which is an alternative ... classical symbolic approaches of computational algebraic geometry. We present a package, whose primary purpose ... Macaulay2 and the powerful engine of numerical approximate computations. The core procedures of the package...
  • SparseMatrix

  • Referenced in 523 articles [sw04629]
  • Collection is widely used by the numerical linear algebra community for the development and performance ... from problems with underlying 2D or 3D geometry (as structural engineering, computational fluid dynamics, model...
  • NAG4M2

  • Referenced in 13 articles [sw08785]
  • NumericalAlgebraicGeometry -- Numerical Algebraic Geometry. The package NumericalAlgebraicGeometry, also known as NAG4M2 (Numerical Algebraic Geometry...
  • TI-Nspire

  • Referenced in 62 articles [sw06151]
  • variant integrates a computer algebra system, function plotter, dynamic geometry, spreadsheet, dynamic statistics ... module and data logging. The numeric variant is identical with some limitations in symbolic calculation...
  • Paramotopy

  • Referenced in 10 articles [sw08781]
  • long been known in the numerical algebraic geometry community that parameter homotopies provide a powerful...
  • Bertini.m2

  • Referenced in 6 articles [sw08784]
  • Bertini for Macaulay2. Numerical algebraic geometry is the field of computational mathematics concerning the numerical...
  • Polyhedra

  • Referenced in 7 articles [sw12128]
  • play an important role in numerous areas of algebraic geometry. The package Polyhedra enables...
  • Polytop

  • Referenced in 2 articles [sw25569]
  • equations. Our software, called polyTop, leverages numerical algebraic geometry computations from Bertini and Bertini_real...
  • core 2

  • Referenced in 4 articles [sw04960]
  • library for exact numeric computation in geometry and algebra. There is a growing interest ... approach called Exact Numeric Computation (ENC). The ENC approach to algebraic number computation is based ... applications such as non-linear computational geometry. The adaptive complexity of ENC combined with filters...
  • HOM4PS

  • Referenced in 66 articles [sw00410]
  • dealing with curve jumping. Numerical results show that this revision leads to a spectacular speed ... Software for algebraic geometry. Papers of a workshop, Minneapolis, MN, USA, October...
  • PolyMesher

  • Referenced in 49 articles [sw13340]
  • been shown not to be susceptible to numerical instabilities such as checkerboard patterns in contrast ... polygonal elements makes possible meshing of complicated geometries with a self-contained Matlab code ... geometry and offers great flexibility to construct a large class of domains via algebraic expressions...
  • IRIT

  • Referenced in 4 articles [sw21528]
  • help in handling freeform geometry including strong symbolic, numeric and algebraic based computation and analysis ... general multivariate spline functions. IRIT offers numerous unique computational abilities such as extensive bisector computation ... implicit forms. A rich set of computational geometry tools for freeform splines is offered including...
  • UNAMALLA

  • Referenced in 7 articles [sw13144]
  • particular, we are interested in the numerical solution of partial differential equations on arbitrary -irregular ... such as linear algebra, large scale optimization methods and computer geometry, among others, and promotes...
  • PHCpack

  • Referenced in 1 article [sw12154]
  • numerical irreducible decomposition method. As the size of many problems in applied algebraic geometry often...
  • GANITH

  • Referenced in 9 articles [sw10142]
  • GANITH algebraic geometry toolkit. We are building a general-purpose tool for computing and visualizing ... solutions to systems of algebraic equations. Diverse algorithms exist for this problem and related ... polynomial resultants and birational maps between arbitrary algebraic sets and hypersurfaces. Our designed tool shall ... algorithms, in an intelligent blend of algebraic and numeric methods, and real solutions. Complex solutions...
  • MoebInv

  • Referenced in 2 articles [sw27527]
  • libraries for symbolic, numeric and graphical manipulations in non-Euclidean geometry. There is Graphical User ... Both libraries are based on the Clifford algebra capacities of the GiNaC computer algebra system...
  • IFP-C3D

  • Referenced in 5 articles [sw09125]
  • deal with complex moving geometries with large volume deformation induced by all moving geometrical parts ... Moreover, IFP-C3D uses an optimized linear algebraic library to solve linear matrix systems ... remap stage when new meshes are loaded. Numerical results and timing are presented to demonstrate...