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MPIR is an open source multiprecision integer (bignum) library forked from the GMP (GNU Multi Precision) project. It consists of much code from past GMP releases, in combination with much original contributed code. MPIR is constructed by a developer and vendor friendly community of professional and amateur mathematicians, computer scientists and hobbyists.

Msieve is a library and utility for factoring large integers using the most powerful modern algorithms. It features a stable and very fast implementation of a self-initializing multiple polynomial quadratic sieve (MPQS), plus a somewhat experimental general number field sieve (GNFS) implementation. Primary design goals are speed, portability and ease of use. Msieve claims to be the fastest implementation for factoring general inputs between 40 and 100 decimal digits, but can handle larger input as well.

The Matrix Template Library (MTL) is a high-performance generic component library that provides comprehensive linear algebra functionality for a wide variety of matrix formats. As with the Standard Template Library (STL), MTL uses a five-fold approach, consisting of generic functions, containers, iterators, adaptors, and function objects, all developed specifically for high performance numerical linear algebra. Within this framework, MTL provides generic algorithms corresponding to the mathematical operations that define linear algebra. Similarly, the containers, adaptors, and iterators are used to represent and to manipulate concrete linear algebra objects such as matrices and vectors.

MUMPS is a Distributed Multifrontal Solver (F90, MPI based) with Dynamic Distributed Scheduling to accomodate both numerical fill-in and multi-user environment. - Solution of large linear systems with symmetric positive definite matrices; general symmetric matrices; general unsymmetric matrices. - Version for complex arithmetic. - Parallel factorization and solve phases (uniprocessor version also available). - Iterative refinement and backward error analysis. - Various matrix input formats: assembled format; distributed assembled format; elemental format. - Partial factorization and Schur complement matrix. - Several orderings interfaced : AMD, AMF, PORD, METIS

NLopt is a free/open-source library for nonlinear optimization, providing a common interface for a number of different free optimization outines available online as well as original implementations of various other algorithms. Its features include: - Callable from C, C++, Fortran, Matlab or GNU Octave, Python, GNU Guile, Julia, GNU R, Lua, and OCaml. - A common interface for many different algorithms -- try a different algorithm just by changing one parameter. - Support for large-scale optimization (some algorithms scalable to millions of parameters and thousands of constraints). - Both global and local optimization algorithms. - Algorithms using function values only (derivative-free) and also algorithms exploiting user-supplied gradients. - Algorithms for unconstrained optimization, bound-constrained optimization, and general nonlinear inequality/equality constraints.

NTL is an object oriented library for number theory, written by Victor Shoup. It provides objects and methods for - arbitrary length integers - finite fields - polynomials over fields - extensions of fields. - vectors and matrices over extensions - finite rings Unless you define WITHOUT_GMP, NTL requires libgmp4. Matthias Bauer matthiasb@acm.org

Numdiff is a little program that can be used to compare putatively similar files line by line and field by field, ignoring small numeric differences or/and different numeric formats. Equivalently, Numdiff is a program with the capability to appropriately compare files containing numerical fields (and not only). % numdiff file1 file2

ocamlgraph is a graph library for Objective Caml. It provides an easy-to-use graph data structure together with several operations and algorithms over graphs.

ocamlgsl is an interface to GSL (GNU scientific library), for the Objective Caml langage.

The octave-forge package is the result of The GNU Octave Repositry project, which is intended to be a central location for custom scripts, functions and extensions for GNU Octave. contains the source for all the functions plus build and install scripts. This is actuarial. Actuarial functions for Casualty and Property lines.