• # DLMF

• Referenced in 2889 articles [sw04968]
• DLMF) to provide useful data about special functions for a wide audience. The initial products ... More than 50 mathematicians, physicists and computer scientists from around the world are participating ... graphs, references, methods of computation, and links to software. Special features of the Web site...
• # GAP

• Referenced in 3221 articles [sw00320]
• Computational Group Theory. GAP provides a programming language, a library of thousands of functions implementing ... modify or extend it for your special use. Computer algebra system...
• # REDUCE

• Referenced in 746 articles [sw00789]
• interest to mathematicians, scientists and engineers. Computer algebra system (CAS). It has been produced ... expansion and ordering of polynomials and rational functions; substitutions and pattern matching in a wide ... real arithmetic; facilities for defining new functions and extending program syntax; analytic differentiation and integration ... input; calculations with a wide variety of special functions; Dirac matrix calculations of interest...
• # Differentiation Matrix Suite

• Referenced in 254 articles [sw12762]
• functions are included for incorporating boundary conditions, performing interpolation using barycentric formulas, and computing roots ... problems arising in the fields of special functions, quantum mechanics, nonlinear waves, and hydrodynamic stability...
• # LAPACK

• Referenced in 1713 articles [sw00503]
• general sparse matrices. In all areas, similar functionality is provided for real and complex matrices ... that as much as possible of the computation is performed by calls to the Basic ... efficiency on many high-performance computers, particularly if specially coded implementations are provided...
• # Concorde

• Referenced in 319 articles [sw04770]
• Concorde is a computer code for the symmetric traveling salesman problem (TSP) and some related ... library includes over 700 functions permitting users to create specialized codes for TSP-like problems...
• # Arb

• Referenced in 53 articles [sw07822]
• efficient high-precision computation with polynomials, power series, matrices and special functions over the real...
• # ve08

• Referenced in 150 articles [sw05141]
• problem of minimizing a smooth objective function f of n real variables ... storage and computing time by using a minimization algorithm that exploits some special structure ... rather unpredictable since, except for certain test functions, the eigenvalue structure ... local quadratic models, which is computationally feasible even for large...
• # Gfan

• Referenced in 123 articles [sw04698]
• contains algorithms for computing this complex for general ideals and specialized algorithms for tropical curves ... ideals. In addition to the above core functions the package contains many tools which ... manual. For ordinary Gröbner basis computations Gfan is not competitive in speed compared to programs...
• # MatrixMarket

• Referenced in 170 articles [sw04020]
• from linear systems, least squares, and eigenvalue computations in a wide variety of scientific ... collection or for searching for matrices with special properties are included. Each matrix (and matrix ... focus areas in linear algebra, special functions and statistics...
• # APL

• Referenced in 81 articles [sw01165]
• large range of special graphic symbols[3] to represent most functions and operators, leading ... development of concept modeling, spreadsheets, functional programming,[4] and computer math packages...
• # ComputeL

• Referenced in 7 articles [sw31452]
• ComputeL - Computing special values of L-functions. ComputeL is a pari package to compute special ... specifically designed to work with L-functions of motivic origin with an arbitrary number ... illustration, it includes examples of computations with Riemann zeta-function; Dirichlet L-functions of Dirichlet...
• # LiE

• Referenced in 165 articles [sw01075]
• rather computes with weights, roots, characters and similar objects. Some specialities of LiE are: tensor ... extend the package with more mathematical functions. A user manual is provided containing many examples ... basic programming primitives and powerful built-in functions. These commands are read by an interpreter ... mathematical functions. The interpreter offers on-line facilities which explain operations and functions, and which...
• # TAMC

• Referenced in 72 articles [sw07198]
• vectors. The adjoint model computes the gradient of a cost function with respect to control ... adjoint code may be seen as the special case of differentiation of algorithms in reverse...
• # PDESpecialSolutions

• Referenced in 65 articles [sw12342]
• combinations thereof, Jacobi’s sn or cn functions. Examples illustrate key steps of the algorithms.The ... PDESpecialSolutions.m can be used to automatically compute new special solutions of nonlinear PDEs...
• # NLEIGS

• Referenced in 34 articles [sw22547]
• Meerbergen, and W. Michiels, SIAM J. Sci. Comput., 35 (2013), pp. A327--A350]. NLEIGS utilizes ... dynamically constructed rational interpolant of the nonlinear function $A(lambda)$ and a new companion-type ... obtaining a generalized eigenvalue problem with special structure. This structure is particularly suited ... approach for the computation of rational divided differences using matrix functions is presented...
• # FiniteFlow

• Referenced in 7 articles [sw41195]
• fields and reconstructing multivariate rational functions. The framework employs computational graphs, known as dataflow graphs ... finite fields in high-level languages and computer algebra systems, without being concerned with ... identities to master integrals or special functions, the computation of differential equations for Feynman integrals...
• # Cell-PLoc

• Referenced in 90 articles [sw09126]
• interesting, because they may have some special biological functions intriguing to investigators in both basic ... predictors in the Cell-PLoc package. The computational time for each prediction is less than...
• # filib++

• Referenced in 43 articles [sw06459]
• versions of a comprehensive set of elementary function. filib++ extends this library in two aspects ... that extends the exception-free computation mode using special values to represent infinities and NotaNumber ... computed to enclose the topological closure of a range of a function defined over...
• # nacopula

• Referenced in 50 articles [sw06778]
• Archimedean copulas. Specifically, providing procedures for computing function values and cube volumes, characteristics such ... package also contains related univariate distributions and special functions such as the Sibuya distribution...