• # SINGULAR

• Referenced in 1201 articles [sw00866]
• over a field (e.g., finite fields, the rationals, floats, algebraic extensions, transcendental extensions), or localizations ... free-resolution computations, and many more related functionalities. Based on an easy-to-use interactive...
• # ALTRAN

• Referenced in 32 articles [sw01203]
• Altran system for rational function manipulation — a survey. Altran is a complete system for symbolic ... computation with rational functions in several variables with integer coefficients. It has been designed...
• # GQRAT

• Referenced in 33 articles [sw00373]
• mixture of polynomials and rational functions, the latter being selected so as to simulate poles ... well as methods for constructing such rational Gauss formulae. Relevant computer routines are provided...
• # gmp

• Referenced in 236 articles [sw00363]
• arbitrary precision arithmetic, operating on signed integers, rational numbers, and floating point numbers. There ... rich set of functions, and the functions have a regular interface. The main target applications...
• # NLEIGS

• Referenced in 17 articles [sw22547]
• utilizes a dynamically constructed rational interpolant of the nonlinear function \$A(lambda ... This structure is particularly suited for the rational Krylov method. A new approach ... computation of rational divided differences using matrix functions is presented. It is shown that NLEIGS ... Newton rational Krylov method but converges more reliably, in particular, if the nonlinear function...
• # ffmodstd

• Referenced in 5 articles [sw27228]
• ideals in polynomial rings over rational function fields. A library for computing a Groebner basis ... polynomial ring over an algebraic function field Q(T):=Q(t_1,...,t_m) using ... modular methods and sparse multivariate rational interpolation, where the t_i are transcendental over ... algorithms: univariate polynomial interpolation [2], univariate rational function reconstruction [7], and multivariate polynomial interpolation...
• # BioNetGen

• Referenced in 40 articles [sw09072]
• that can arise during signaling and provides functions that relate model variables to experimental readouts ... that can be generated are relevant for rational drug discovery, analysis of proteomic data...
• # ncHilb

• Referenced in 2 articles [sw27177]
• Hilbert series is a rational function. Moreover, a characterization of finite-dimensional algebras is obtained ... truncated) Hilbert series may not be rational functions. We consider some applications of the computation...