
Macaulay2
 Referenced in 920 articles
[sw00537]
 since 1992. Macaulay2 includes core algorithms for computing Gröbner bases and graded or multigraded ... mathematical objects and the installation of methods for computing specifically with them. Macaulay2 can compute...

DLMF
 Referenced in 565 articles
[sw04968]
 More than 50 mathematicians, physicists and computer scientists from around the world are participating ... covered include mathematical formulas, graphs, references, methods of computation, and links to software. Special features...

NIST
 Referenced in 424 articles
[sw00621]
 More than 50 mathematicians, physicists and computer scientists from around the world are participating ... covered include mathematical formulas, graphs, references, methods of computation, and links to software. Special features...

eigs
 Referenced in 266 articles
[sw03702]
 implementation of the Arnoldi method for computing a few eigenvalues and the corresponding eigenvectors ... square matrix (which reduces to the Lanczos method in the symmetric case). Using a truncated ... methods. Advantages of the method are discussed and some preliminary computational results using parallel...

JDQZ
 Referenced in 405 articles
[sw07031]
 JDQZ algorithm can be used for computing a few selected eigenvalues with some desirable property ... large size. The JacobiDavidson method is used to compute a partial generalized Schur decomposition...

Wesseling
 Referenced in 216 articles
[sw09677]
 choose various multigrid cycles, transfer operators, smoothing methods, and nested iteration, and defect correction. Cell ... Unix based computers. The methods used are fully described in the following book: An Introduction...

JDQR
 Referenced in 355 articles
[sw04021]
 JDQR algorithm can be used for computing a few selected eigenvalues with some desirable property ... large size. The JacobiDavidson method is used to compute a partial Schur decomposition...

IRAM
 Referenced in 132 articles
[sw08795]
 implementation of the Arnoldi method for computing a few eigenvalues and the corresponding eigenvectors ... square matrix (which reduces to the Lanczos method in the symmetric case). Using a truncated ... methods. Advantages of the method are discussed and some preliminary computational results using parallel...

PHCpack
 Referenced in 133 articles
[sw00705]
 continuation methods are reliable and powerful methods to compute numerically approximations to all isolated complex ... features a great variety of rootcounting methods among its tools. The outline...

gss
 Referenced in 138 articles
[sw06099]
 ample desktop and laptop computing power, smoothing methods are now finding their ways into everyday ... unifying themes are the general penalized likelihood method and the construction of multivariate models with ... devoted to model construction, smoothing parameter selection, computation, and asymptotic convergence. Most of the computational...

Chebfun
 Referenced in 149 articles
[sw05897]
 MATLAB that extends familiar powerful methods of numerical computation involving numbers to continuous or piecewise...

MATLAB expm
 Referenced in 89 articles
[sw14349]
 method is the most widely used method for computing the matrix exponential, not least because ... implemented in the MATLAB function expm. The method scales the matrix by a power ... reduce the norm to order 1, computes a Padé approximant to the matrix exponential...

SPLUS
 Referenced in 364 articles
[sw02892]
 methods made possible by the widespread availability of workstations having good graphics and computational capabilities...

ELLPACK
 Referenced in 120 articles
[sw01208]
 involves a process in which one repeatedly computes a solution, analyzes the results, and modifies ... interactively build grids, choose solution methods, and analyze computed results. Interactive ELLPACK features a sophisticated...

OSL
 Referenced in 80 articles
[sw09295]
 Subroutine Library. This class of methods uses quite different computational kernels than the traditional simplex ... machine architectural features. In particular, interior methods can benefit greatly from use of vector architectures ... series computers and “superscalar” processing on the RISC System/$6000^{TM}$ series...

CGAL
 Referenced in 215 articles
[sw00118]
 computation, such as: computer graphics, scientific visualization, computer aided design and modeling, geographic information systems ... generation, numerical methods... More on the projects using CGAL web page. The Computational Geometry Algorithms...

RestoreTools
 Referenced in 42 articles
[sw04822]
 objectoriented approach In iterative image restoration methods, implementation of efficient matrix vector multiplication ... algorithms. A complex set of computational methods is needed, each likely having different input parameters ... complicated implementation details. Combining the powerful scientific computing and graphics capabilities in Matlab, with...

CutTools
 Referenced in 59 articles
[sw07230]
 program implementing the OPP reduction method to compute oneloop amplitudes. We present a program ... that implements the OPP reduction method to extract the coefficients of the oneloop scalar ... external input, and can be computed with the help of dedicated treelevel like Feynman...

INTLAB
 Referenced in 261 articles
[sw04004]
 reliable computing and selfvalidating algorithms. It comprises of selfvalidating methods for dense linear ... very fast) automatic differentiation (forward mode, vectorized computations, fast) Gradients (to solve systems of nonlinear...

HYPLAS
 Referenced in 40 articles
[sw17661]
 Computational methods for plasticity. Theory and applications. The purpose of this text is to describe ... practical issues arising in their computer implementation within a quasistatic finite element scheme. Many...