Open Source MATLAB Mathematics Software
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MATLAB Mathematics Software
View 202 business solutionsBrowse free open source MATLAB Mathematics Software and projects below. Use the toggles on the left to filter open source MATLAB Mathematics Software by OS, license, language, programming language, and project status.
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GMAT
General Mission Analysis Tool
The General Mission Analysis Tool (GMAT) is an open-source tool for space mission design and navigation. GMAT is developed by a team of NASA, private industry, and public and private contributors. The GMAT development team is pleased to announce the release of GMAT version R2026a. For a complete list of new features, compatibility changes, and bug fixes, see the R2026a Release Notes in the Users Guide. -
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Armadillo
fast C++ library for linear algebra & scientific computing
* Fast C++ library for linear algebra (matrix maths) and scientific computing * Easy to use functions and syntax, deliberately similar to Matlab / Octave * Uses template meta-programming techniques to increase efficiency * Provides user-friendly wrappers for OpenBLAS, Intel MKL, LAPACK, ATLAS, ARPACK, SuperLU and FFTW libraries * Useful for machine learning, pattern recognition, signal processing, bioinformatics, statistics, finance, etc. * Downloads: http://arma.sourceforge.net/download.html * Documentation: http://arma.sourceforge.net/docs.html * Bug reports: http://arma.sourceforge.net/faq.html * Git repo: https://gitlab.com/conradsnicta/armadillo-code -
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MatCont
Numerical Bifurcation Analysis Toolbox in Matlab
MatCont is a Matlab software project for the numerical continuation and bifurcation study of continuous and discrete parameterized dynamical systems. Leaders of the project are Willy Govaerts (Gent,B) and Yuri A. Kuznetsov (Utrecht,NL) and Hil G.E. Meijer (UT, Enschede, NL). Matcont for ODEs and MatcontM for Maps Publishing a paper using our software? That's great. Please do us a favour and cite: New features of the software MatCont for bifurcation analysis of dynamical systems. A. Dhooge, and W. Govaerts, Yu.A. Kuznetsov, H.G.E. Meijer and B. Sautois, MCMDS 2008, Vol. 14, No. 2, pp 147-175 In case you're stuck, use the forum, but to get a good answer provide: 1. What command do you give when this appears? Provide the exact steps. Stating "no convergence" is not enough. 2. Most procedures are explained in the Tutorials. There is a manual with detailed descriptions of the data. -
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Lenia
Lenia - Mathematical Life Forms
Lenia is a 2D cellular automaton with continuous space, time, and states. It produces a huge variety of interesting life forms. There are various versions available. Python, Matlab, and web (JavaScript) versions are real-time, interactive, and equipped with statistics tools. Jupyter and R versions are non-interactive and just for demonstration purposes. -
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FieldTrip
The MATLAB toolbox for MEG, EEG and iEEG analysis
FieldTrip is the MATLAB software toolbox for MEG, EEG and iEEG analysis, which is released free of charge as open source software under the GNU general public license. FieldTrip is developed by members and collaborators of the Donders Institute for Brain, Cognition, and Behaviour at Radboud University, Nijmegen, the Netherlands. The toolbox offers advanced analysis methods of MEG, EEG, and invasive electrophysiological data, such as time-frequency analysis, source reconstruction using dipoles, distributed sources and beamformers and non-parametric statistical testing. It supports the data formats of all major MEG systems (CTF, Neuromag/Elekta/Megin, BTi/4D, Yokogawa/Ricoh, FieldLine) and of most popular EEG systems, and new formats can be added easily. FieldTrip contains high-level functions that you can use to construct your own analysis protocols in MATLAB. Furthermore, it easily allows methods researchers to incorporate new methods for EEG/MEG analysis. -
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MCM-ICM
Mathematical Contest resources
MCM-ICM is a curated archive of Outstanding Winner (“O-奖/特等奖”) solution papers from the Mathematical Contest in Modeling and the Interdisciplinary Contest in Modeling, spanning the early 2000s through recent years. The repository is organized by year, with per-year folders that collect the top-ranked reports and, in later years, additional materials such as problem statements or problem notes when available. It has evolved from a single-maintainer project into a collaborative effort, with different contributors stewarding successive year ranges so the collection stays current. The contents skew toward MATLAB and LaTeX, reflecting the tools most winning teams use to build models and typeset their reports; you’ll typically see complete write-ups alongside code that implements optimization, simulation, statistical analysis, or other modeling pipelines. -
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LabPlot
Data Visualization and Analysis
LabPlot is a FREE, open source and cross-platform Data Visualization and Analysis software accessible to everyone. -
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Mathematics
Accumulation of mathematical knowledge, matrix numerical optimization
Mathematics is a comprehensive collection of notes, resources, and references spanning a wide range of mathematical topics. The repository organizes material across pure and applied mathematics, including calculus, linear algebra, probability, statistics, and optimization. It also extends into computational and algorithmic applications of mathematics, making it a useful reference for both academic study and practical problem-solving. The goal is to provide learners, researchers, and developers with a consolidated source of foundational and advanced mathematical concepts. By gathering a diverse set of topics into one repository, it supports continuous learning and interdisciplinary exploration. Its open source nature allows for community contributions and adaptation to different educational or research needs. -
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Continuation Core and Toolboxes (COCO)
Toolboxes for parameter continuation and bifurcation analysis.
Development platform and toolboxes for parameter continuation, e.g., bifurcation analysis of dynamical systems and constrained design optimization. This material is based upon work partially supported by the National Science Foundation under Grant No. 1016467 and the Danish research council (FTP) under the project number 0602-00753B. Any opinions, findings, and conclusions or recommendations expressed on this site are those of the authors and do not necessarily reflect the views of the National Science Foundation or other funding sources. Documentation and tutorials are available for the following toolboxes: * ep : continuation and bifurcations of equilibrium points * coll : continuation of constrained collections of trajectory segments, including multi-segment boundary-value problems * po : continuation and bifurcations of periodic orbits in smooth and hybrid systems * recipes : collection of examples from the book Recipes for Continuation -
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DDE-BIFTOOL
Bifurcation analysis for delay-differential equations
DDE-BIFTOOL is a set of routines for performing numerical bifurcation analysis of delay-differential equations, running in Matlab or Octave[2]. It was originally created by Koen Engelborghs at KU Leuven (Belgium). [1] Tutorial demo <http://ddebiftool.sourceforge.net/demos/neuron/html/demo1_simple.html> shows the output of an illustrative demo. <http://ddebiftool.sourceforge.net> links to documentation, a list of contributors and current maintainers. The original DDE-BIFTOOL webpage at KU Leuven [1] stores versions up to 3.0 and their documentation. [1] <http://twr.cs.kuleuven.be/research/software/delay/ddebiftool.shtml> [2] <https://www.gnu.org/software/octave> Further tutorials (by M Bosschaert) at <https://sites.google.com/a/uhasselt.be/maikel-bosschaert/home> (pdf files). -
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gptoolbox
Matlab toolbox for Geometry Processing
gptoolbox is a comprehensive MATLAB toolbox for geometry processing, optimization, and image processing. It provides a wide range of utility functions for working with triangle and tetrahedral meshes, making it useful for tasks in computer graphics, computational geometry, and 3D modeling. The toolbox includes wrappers for external software such as TetGen, Triangle, QSlim, and meshfix, as well as functions for mesh smoothing, cleanup, deformation, and parameterization. It also implements discrete differential geometry operators, geodesic distance computations, and constructive solid geometry operations. Beyond geometry, gptoolbox includes features for quadratic programming, image colorization, and dithering. Most of the functions are pure MATLAB code, requiring only that the toolbox be added to the MATLAB path, while some specialized features depend on external libraries and compiled mex files. -
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A symbolic framework for C++, Python and Octave implementing automatic differentiation by source code transformation in forward and reverse modes on sparse matrix-valued computational graphs.
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librsb
A shared memory parallel sparse matrix library including Sparse BLAS.
librsb is a library for sparse matrix computations featuring the Recursive Sparse Blocks (RSB) matrix format. This format allows cache efficient and multi-threaded (that is, shared memory parallel) operations on large sparse matrices. The most common operations necessary to iterative solvers are available, e.g.: matrix-vector multiplication, triangular solution, rows/columns scaling, diagonal extraction / setting, blocks extraction, norm computation, formats conversion. The RSB format is especially well suited for symmetric and transposed multiplication variants. On these variants, librsb has been found to be faster than Intel MKL's implementation for CSR. Most numerical kernels code is auto generated, and the supported numerical types can be chosen by the user at build time. librsb implements the Sparse BLAS standard, as specified in the BLAS Forum documents. -
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octave-raspberrypi
GNU Octave toolkit for controlling a Raspberry Pi
Basic Octave implementation of the matlab raspi extension, allowing communication to a Raspberry Pi board to control its hardware. -
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Optimizer_sovkov
Constructing and optimizing general mathematical and physical models
We present the package Optimizer, aimed at constructing and optimizing general mathematical models of phenomena of versatile nature. It is written in the Matlab algorithmic language and is executed in the Matlab environment with partial functionality in Octave. The convenient visual interface and the detailed manuals are provided. The main benefit of the package is its capability to construct models of any level of complexity in a block-by-block manner. Elementary model blocks can be collected in libraries, and we have already written many such library programs. Many of these programs are already available along with the main package. Currently, the main focus of these is computational quantum mechanics, analysis and simulation of molecular spectra, and general-purpose approximants. The package provides the most reliable modern strategies for linear and non-linear model optimization, regularization, and hypothesis tests. Parallel computing is supported. -
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ADiGator
A MATLAB Automatic Differentiation Tool
ADiGator is a source transformation via operator overloading tool for the automatic differentiation of mathematical functions written in MATLAB. Given a user written file, together with information on the inputs of said file, ADiGator uses forward mode automatic differentiation to generate a new file which contains the calculations required to compute the numeric derivatives of the original user function. Furthermore, these calculations are written entirely in the native MATLAB language, and thus the process may be repeated to obtain nth order derivative files. The package is particularly appealing for applications where the same derivative must be found at multiple different points, i.e. non-linear root finding/optimization, stiff ode integration, etc. -
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STK
a Small (Matlab/Octave) Toolbox for Kriging
The STK is a (not so) Small Toolbox for Kriging. Its primary focus in on the interpolation / regression technique known as kriging, which is very closely related to Splines and Radial Basis Functions, and can be interpreted as a non-parametric Bayesian method using a Gaussian Process (GP) prior. The STK also provides tools for the sequential and non-sequential design of experiments. Even though it is, currently, mostly geared towards the Design and Analysis of Computer Experiments (DACE), the STK can be useful for other applications areas (such as Geostatistics, Machine Learning, Non-parametric Regression, etc.). -
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A MATLAB package to simulate sample paths of the solution of a Itô or Stratonovich stochastic differential equation (SDE), compute statistics and estimate the parameters from data. A note of caution: SDE Toolbox is no more developed but it's still downloadable. Its inferential capabilities can be considered surpassed (at best). Actually the parameter estimation methods were already far from the state-of-art when the project began in 2007 (!). The considered implemented parametric and non-parametric Monte Carlo likelihood methods were chosen for their ability to treat both one-dimensional and multivariate SDE systems, although the quality of the inferential results can't match those obtained using more advanced techniques. Nevertheless the toolbox capabilities to simulate numerical solutions of SDE systems are still valid and can serve as a useful starting point to those willing to simulate stochastic dynamical models easily.
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Bayesian Surprise Matlab toolkit is a basic toolkit for computing Bayesian surprise values given a large set of input samples. It is also useful as way of exploring surprise theory. For more information see also: http://ilab.usc.edu/
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Blueprint XAS is a Matlab-based suite designed for the processing and analysis of near-edge x-ray absorption spectroscopy (XAS) data. The suite is designed primarily to assist users in exploring reasonable fit solutions while minimizing user bias.
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The Recursive Zonal Equal Area (EQ) Sphere Partitioning Toolbox is a suite of Matlab functions for partitioning and point distribution on multidimensional spheres.
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GLPKMEX - a Matlab MEX interface for the GLPK library Note: GLPKMEX is not currently compatible with glpk-4.49, or later. please use with glpk 4.40 - 4.48.
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Matlab, Maple and C/C++ applications of Linear Algebra in many domains, including curves in many dimensions, Cryptography and Chaos etc.