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ASCEND is an interactive environment for modeling, debugging, and solving large systems of nonlinear algebraic or differential equations. Oriented towards chemical engineering applications, it includes the largest open-source thermodynamic properties database. Its interactive design allows users to inspect and solve very difficult nonlinear systems. It includes plotting abilities and is scriptable.

http://ascend4.orghttps://launchpad.net/ascend

https://code.google.com/p/ascend/

Tags | mathematics non-linear algebra model equation |

Implementation | C |

License | GPLv2 |

Platform | Windows Linux |

ASCEND is a modelling environment and solver for large or small systems of non-linear equations, for use in engineering, thermodynamics, chemistry, physics, mathematics and biology. Solvers for both steady and dynamic (NLA amp; DAE) problems, are provid

A 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-libraryThis library provides Kalman filtering and various related optimal and non-optimal filtering software written in Python. It contains Kalman filters, Extended Kalman filters, Unscented Kalman filters, Kalman smoothers, Least Squares filters, fading memory filters, g-h filters, discrete Bayes, and more. My aim is largely pedalogical - I opt for clear code that matches the equations in the relevant texts on a 1-to-1 basis, even when that has a performance cost. There are places where this tradeoff is unclear - for example, I find it somewhat clearer to write a small set of equations using linear algebra, but numpy's overhead on small matrices makes it run slower than writing each equation out by hand. Furthermore, books such Zarchan present the written out form, not the linear algebra form. It is hard for me to choose which presentation is 'clearer' - it depends on the audience. In that case I usually opt for the faster implementation.

la4j (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 mathematicsCommons Math is a library of lightweight, self-contained mathematics and statistics components addressing the most common problems not available in the Java programming language. it has support for Linear Algebra, Probability Distributions, Numerical Algebra, Statistics, Transform methods, Least Square etc.

math math-library mathematics statistics algebraAn object-oriented library for scientific computing in C++.

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 distributionsMaxima 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-systemThe 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-numberMath literacy, including proficiency in Linear Algebra and Statistics,is a must for anyone pursuing a career in data science. The goal of this workshop is to introduce some key concepts from these domains that get used repeatedly in data science applications. Our approach is what we call the “Hacker’s way”. Instead of going back to formulae and proofs, we teach the concepts by writing code. And in practical applications. Concepts don’t remain sticky if the usage is never taught. The focus will be on depth rather than breadth. Three areas are chosen - Hypothesis Testing, Supervised Learning and Unsupervised Learning. They will be covered to sufficient depth - 50% of the time will be on the concepts and 50% of the time will be spent coding them.

machine-learning linear-algebra statistics calculusThe brms package provides an interface to fit Bayesian generalized (non-)linear multivariate multilevel models using Stan, which is a C++ package for performing full Bayesian inference (see http://mc-stan.org/). The formula syntax is very similar to that of the package lme4 to provide a familiar and simple interface for performing regression analyses. A wide range of distributions and link functions are supported, allowing users to fit -- among others -- linear, robust linear, count data, survival, response times, ordinal, zero-inflated, hurdle, and even self-defined mixture models all in a multilevel context. Further modeling options include non-linear and smooth terms, auto-correlation structures, censored data, missing value imputation, and quite a few more. In addition, all parameters of the response distribution can be predicted in order to perform distributional regression. Multivariate models (i.e. models with multiple response variables) can be fitted, as well. Prior specifications are flexible and explicitly encourage users to apply prior distributions that actually reflect their beliefs. Model fit can easily be assessed and compared with posterior predictive checks, leave-one-out cross-validation, and Bayes factors. As a simple example, we use poisson regression to model the seizure counts in epileptic patients to investigate whether the treatment (represented by variable Trt) can reduce the seizure counts and whether the effect of the treatment varies with the baseline number of seizures a person had before treatment (variable log_Base4_c). As we have multiple observations per person, a group-level intercept is incorporated to account for the resulting dependency in the data.

brms stan bayesian-inference multilevel-models statistical-models r-packageSciPy (pronounced "Sigh Pie") is open-source software for mathematics, science, and engineering. The SciPy library is built to work with NumPy arrays, and provides many user-friendly and efficient numerical routines such as routines for numerical integration and optimization.

scientific scientific-computing mathematicsThe 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 matricesJLinAlg is a Java Library for Linear Algebra without rounding errors ( e.g. operations on matrices, algorithms for solving Linear Equation Systems, inverting matrices, computing the determinant or the eigenvalues of a matrix).

The Auckland Layout Model is a platform-independent 2D layout technology for arranging the controls in a GUI. The model supports the specification of constraints based on linear algebra, and an optimal layout is calculated using linear programming.

A 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 algebraArmadillo: 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-factorizationLinear algebra library for the Rust programming language.

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