Eigen is a C++ template library for linear algebra: matrices, vectors, numerical solvers, and related algorithms. It provides an elegant API based on "expression templates". It is versatile: it supports all matrix sizes, all standard numeric types, various matrix decompositions and geometry features, and more.

Kiss FFT is a mixed-radix Fast Fourier Transform based up on the principle, 'Keep It Simple, Stupid.'

The gf2x library provides arithmetic of polynomials over finite fields of characteristic 2. It implements the multiplication, squaring and greatest common divisor operations.

This package provides a simple Python interface to the Singular computer algebra system.

This library provides a Python wrapper to SymEngine, a fast C++ symbolic manipulation library.

Normaliz is a tool for computations in affine monoids, vector configurations, rational polyhedra and rational cones. Normaliz now computes rational and algebraic polyhedra, i.e., polyhedra defined over real algebraic extensions of QQ.

fpylll is a Python wrapper for fplll.

REDUCE is a portable general-purpose computer algebra system. It is a system for doing scalar, vector and matrix algebra by computer, which also supports arbitrary precision numerical approximation and interfaces to gnuplot to provide graphics. It can be used interactively for simple calculations but also provides a full programming language, with a syntax similar to other modern programming languages. REDUCE supports alternative user interfaces including Run-REDUCE, TeXmacs and GNU Emacs. This package provides the Codemist Standard Lisp (CSL) version of REDUCE. It uses the gnuplot program, if installed, to draw figures.

FFLAS-FFPACK is a C++ template library for basic linear algebra operations over a finite field. FFLAS (Finite Field Linear Algebra Subprograms) provides the implementation of a subset of routines of the numerical BLAS; it also supports sparse matrix-vector products. FFPACK (Finite Field Linear Algebra Package) is inspired by the LAPACK library to provide functionalities of higher level, using the kernel of a BLAS. Additionally, it provides routines specific to exact linear algebra, such as the row echelon form.

IML is a C library implementing algorithms for computing exact solutions to dense systems of linear equations over the integers. Currently, IML provides the following functionality:

• Nonsingular rational system solving: compute the unique rational solution X to the system AX=B, where A and B are integer matrices, A nonsingular.

• Compute the right nullspace or kernel of an integer matrix.

• Certified linear system solving: compute a minimal denominator solution x to a system Ax=b, where b is an integer vector and A is an integer matrix with arbitrary shape and rank profile.

In addition, IML provides some low level routines for a variety of mod p matrix operations: computing the row-echelon form, determinant, rank profile, and inverse of a mod p matrix. These mod p routines are not general purpose; they require that p satisfy some preconditions based on the dimension of the input matrix (usually p should be prime and should be no more than about 20 bits long).

This package provides functions for 1D and 2D Discrete Cosine Transform (DCT), Discrete Sine Transform (DST) and Discrete Hartley Transform (DHT).

Mpfrcx is a library for the arithmetic of univariate polynomials over arbitrary precision real (mpfr) or complex (mpc) numbers, without control on the rounding. For the time being, only the few functions needed to implement the floating point approach to complex multiplication are implemented. On the other hand, these comprise asymptotically fast multiplication routines such as Toom–Cook and the FFT.

The la4j library is a Java library that provides Linear Algebra primitives (matrices and vectors) and algorithms. The key features of the la4j library are:

• No dependencies and tiny size

• Fluent object-oriented/functional API

• Sparse (CRS, CCS) and dense (1D/2D arrays) matrices

• Linear systems solving (Gaussian, Jacobi, Zeidel, Square Root, Sweep and other)

• Matrices decomposition (Eigenvalues/Eigenvectors, SVD, QR, LU, Cholesky and other)

• MatrixMarket/CSV IO formats support for matrices and vectors

Python-flint is a Python extension module wrapping FLINT (Fast Library for Number Theory) and Arb (arbitrary-precision ball arithmetic). It supports integers, rationals, modular integers, real and complex ball arithmetic, polynomials and matrices over all these types and other mathematical functions.

PariTwine is a glue library between the system for computer algebra and number theory PARI/GP and a number of other mathematics libraries, currently GMP, GNU MPFR, GNU MPC, FLINT and CMH.

The eclib package includes mwrank (for 2-descent on elliptic curves over Q) and modular symbol code; it has been written by John Cremona to compute his elliptic curve database.

LinBox is a C++ template library for exact linear algebra computation with dense, sparse, and structured matrices over the integers and over finite fields.

Spectra stands for Sparse Eigenvalue Computation Toolkit as a Redesigned ARPACK. It is a C++ library for large scale eigenvalue problems, built on top of Eigen. It is implemented as a header-only C++ library and can be easily embedded in C++ projects that require calculating eigenvalues of large matrices.

libsemigroups is a C++14 library containing implementations of several algorithms for computing finite, and finitely presented, semigroups and monoids.

M4RI is a library for fast arithmetic with dense matrices over finite fields of characteristic 2. So it extends the functionality of M4RI from F_2 to F_2^e.

Symmetrica is a library for combinatorics. It has support for the representation theory of the symmetric group and related groups, combinatorics of tableaux, symmetric functions and polynomials, Schubert polynomials, and the representation theory of Hecke algebras of type A_n.

An rsync-like command-line utility that facilitates file transfer over ADB. There are several additional features over Google's original adbsync version with support for the --exclude, --exclude-from, --del, and --delete-excluded command line flags, which have the same purpose to the corresponding rsync flags.

adb is a versatile command line tool that lets you communicate with an emulator instance or connected Android device. It facilitates a variety of device actions, such as installing and debugging apps, and it provides access to a Unix shell that can run commands on the connected device or emulator.

Provides a set of udev rules to allow using Android devices with tools such as adb and fastboot without root privileges. This package is intended to be added as a rule to the udev-service-type in your operating-system configuration. Additionally, an adbusers group must be defined and your user added to it.

Simply installing this package will not have any effect. It is meant to be passed to the udev service.