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Eigen is a C++ template library for linear algebra: matrices, vectors, numerical solvers, and related algorithms. It supports all matrix sizes, from small fixed-size matrices to arbitrarily large dense matrices, and even sparse matrices. It supports all standard numeric types, including std::complex, integers, and is easily extensible to custom numeric types. It also supports various matrix decompositions and geometry features.

http://eigen.tuxfamily.org/https://bitbucket.org/eigen/eigen/

Tags | linear-algebra vectors geomentry matrix algorithm |

Implementation | C++ |

License | MPL |

Platform | Windows Linux MacOS |

Eigen is a C++ template library for linear algebra: matrices, vectors, numerical solvers, and related algorithms. For more information go to http://eigen.tuxfamily.org/.

The only library you need to integrate mathematical functions into your applications. It is a self-contained library in pure PHP with no external dependencies. Composer will install MathPHP inside your vendor folder. Then you can add the following to your .php files to use the library with Autoloading.

finance statistics algebra math information-theory vector matrix linear-algebra probability mathematics regression combinatorics number-theory numerical-analysis distributionsla4j (Linear Algebra for Java) is an open source and 100% Java library that provides Linear Algebra primitives (matrices and vectors) and algorithms. The la4j library was initially designed to be a lightweight and simple tool for passionate Java developers. It has been started as student project and turned into one of the most popular Java packages for matrices and vectors.

maths algebra linear-algebra mathematicsArmadillo: fast C++ library for linear algebra & scientific computing - http://arma.sourceforge.net

linear-algebra matrix matrix-functions linear-algebra-library statistics matlab blas lapack hpc scientific-computing mkl machine-learning armadillo openmp gaussian-mixture-models cpp11 vector sparse-matrix expression-template matrix-factorizationBLIS is a portable software framework for instantiating high-performance BLAS-like dense linear algebra libraries. The framework was designed to isolate essential kernels of computation that, when optimized, immediately enable optimized implementations of most of its commonly used and computationally intensive operations. BLIS is written in ISO C99 and available under a new/modified/3-clause BSD license. While BLIS exports a new BLAS-like API, it also includes a BLAS compatibility layer which gives application developers access to BLIS implementations via traditional BLAS routine calls. An object-based API unique to BLIS is also available. For a thorough presentation of our framework, please read our journal article, "BLIS: A Framework for Rapidly Instantiating BLAS Functionality". For those who just want an executive summary, please see the next section.

blis blas linear-algebra linear-algebra-library matrix-multiplication matrix-calculations matrix-libraryPinocchio instantiates the state-of-the-art Rigid Body Algorithms for poly-articulated systems based on revisited Roy Featherstone's algorithms. Besides, Pinocchio provides the analytical derivatives of the main Rigid-Body Algorithms like the Recursive Newton-Euler Algorithm or the Articulated-Body Algorithm. Pinocchio is first tailored for robotics applications, but it can be used in extra contexts (biomechanics, computer graphics, vision, etc.). It is built upon Eigen for linear algebra and FCL for collision detection. Pinocchio comes with a Python interface for fast code prototyping, directly accessible through Conda.

c-plus-plus robotics kinematics dynamics automatic-differentiation conda motion-planning ros code-generation urdf rigid-body-dynamics cppad fcl casadi analytical-derivatives pinocchioA high performance linear algebra library, written in JavaScript and optimized with C++ bindings to BLAS. The documentation is located in the wiki section of this repository.

blas matrix vector linear-algebra high-performance-computing machine-learning linear algebraLinear algebra library for the Rust programming language.

linear-algebra matrix vector algebraLinear algebra library for the Rust programming language.

linear-algebra matrix vector algebraLinear algebra library for the Rust programming language.

algebra vector matrix linear-algebraA linear algebra and mathematics library for computer graphics. Not all of the functionality has been implemented yet, and the existing code is not fully covered by the testsuite. If you encounter any mistakes or omissions please let me know by posting an issue, or even better: send me a pull request with a fix.

linear-algebra matrix vector computer-graphics simd simd-vector mathematics-libraryMaxima is a system for the manipulation of symbolic and numerical expressions, including differentiation, integration, Taylor series, Laplace transforms, ordinary differential equations, systems of linear equations, polynomials, sets, lists, vectors, matrices and tensors. Maxima yields high precision numerical results by using exact fractions, arbitrary-precision integers and variable-precision floating-point numbers. Maxima can plot functions and data in two and three dimensions.

maths mathematics algebra linear-equations polynomials algebra-systemFacebook recently open-sourced word vectors in 89 languages. However these vectors are monolingual; meaning that while similar words within a language share similar vectors, translation words from different languages do not have similar vectors. In a recent paper at ICLR 2017, we showed how the SVD can be used to learn a linear transformation (a matrix), which aligns monolingual vectors from two languages in a single vector space. In this repository we provide 78 matrices, which can be used to align the majority of the fastText languages in a single space. Word embeddings define the similarity between two words by the normalised inner product of their vectors. The matrices in this repository place languages in a single space, without changing any of these monolingual similarity relationships. When you use the resulting multilingual vectors for monolingual tasks, they will perform exactly the same as the original vectors. To learn more about word embeddings, check out Colah's blog or Sam's introduction to vector representations.

word-vectors machine-learning machine-translation natural-language-processing nlp distributed-representationsA purely functional interface to linear algebra and other numerical algorithms, internally implemented using LAPACK, BLAS, GSL and SUNDIALS. This package includes matrix decompositions (eigensystems, singular values, Cholesky, QR, etc.), linear solvers, numeric integration, root finding, etc.

The GNU Scientific Library (GSL) is a numerical library for C and C++ programmers. The library provides a wide range of mathematical routines such as random number generators, special functions and least-squares fitting. There are over 1000 functions in total with an extensive test suite.

math mathematics numerical scientific algorithms random-numberNeanderthal is a Clojure library for fast matrix and linear algebra computations based on the highly optimized native libraries of BLAS and LAPACK computation routines for both CPU and GPU.. Read the documentation at Neanderthal Web Site.

clojure-library matrix gpu gpu-computing gpgpu opencl cuda high-performance-computing vectorization api matrix-factorization matrix-multiplication matrix-functions matrix-calculationsThe Dambach Linear Algebra Framework is a general purpose Linear Algebra framework for .Net. The main goal is to enable ordinary programmers (who do not have a math degree) to make use of linear algebra methods in solving everyday problems.

algebra garbage linear linear-algebra linear-systems math matricesVisit matrixmultiplication.xyz. This question bothered me a few times until I studied math in the university. There, I had in total four linear algebra courses, so matrix multiplication became my bread-and-butter. One day it just snapped in my mind how the number of rows of the first matrix has to match the number of columns in the second matrix, which means they must perfectly align when the second matrix is rotated by 90°. From there, the second matrix trickles down, "combing" the values in the first matrix. The values are multiplied and added together. In my head, I called this the "waterfall method", and used it to perform my calculations in the university courses. It worked.

Slate++ is a vector/matrix package for C++. Based on templates, Slate++ facilitates basic linear algebra (+, -, *, /, inverse, determinant, ...) on many data types (int, float, double, complex...). Simple to use and thoroughly documented.

dlib is a library for developing portable applications dealing with networking, threads, graphical interfaces, data structures, linear algebra, machine learning, XML and text parsing, numerical optimization, Bayesian nets, data compression routines, linked lists, binary search trees, linear algebra and matrix utilities, machine learning algorithms, and many other general utilities.

cpp-utilities-library library algorithms compression thread bayesian machine-learning xml-parser
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