
SageMath
 Referenced in 1505 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 204 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 positivedimensional solutions by computing...

NumericalAlgebraicGeometry
 Referenced in 18 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 586 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...

TINspire
 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 11 articles
[sw08781]
 long been known in the numerical algebraic geometry community that parameter homotopies provide a powerful...

Bertini.m2
 Referenced in 8 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...

PolyMesher
 Referenced in 101 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 selfcontained Matlab code ... geometry and offers great flexibility to construct a large class of domains via algebraic expressions...

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 nonlinear computational geometry. The adaptive complexity of ENC combined with filters...

HOM4PS
 Referenced in 70 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...

NumericalImplicitization
 Referenced in 1 article
[sw17047]
 This package relies on methods of numerical algebraic geometry, such as homotopy continuation and monodromy...

IRIT
 Referenced in 5 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 generalpurpose 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 nonEuclidean geometry. There is Graphical User ... Both libraries are based on the Clifford algebra capacities of the GiNaC computer algebra system...

Albany/FELIX
 Referenced in 5 articles
[sw17196]
 partial differential equations and boundary conditions, the numerical methods chosen to discretize the ice flow ... problems involving a realistic Greenland ice sheet geometry discretized using hexahedral and tetrahedral meshes. Also ... iterative linear solver using a new algebraic multilevel preconditioner, constructed based on the idea...