Open Source MATLAB Mathematics Software
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MATLAB Mathematics Software
View 200 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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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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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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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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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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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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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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Math Model
Code, resources, and templates for mathematical modeling
Math_Model is a repository collecting resources, code, and algorithm templates for mathematical modeling and competition (e.g. Chinese modeling contests, US undergraduate modeling competitions). It includes LaTeX templates for writing solutions, records of past contest problems and winning solutions, algorithm implementations in MATLAB / M scripts for optimization, intelligent algorithms, numerical methods, and model frameworks. In effect, it is a curated library of modeling code, papers, templates, and algorithm summaries tailored to competition preparation. Historical problem and solution archives from many contests. Summary of contest evaluation criteria and heuristics. -
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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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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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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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Quaternion toolbox for Matlab
Quaternion and octonion toolbox for Matlab
Quaternion toolbox for Matlab is a toolbox that extends Matlab to handle matrices of quaternions with real and complex components. Many Matlab operators and functions are overloaded to work for real quaternion and complexified quaternion matrices. Version 2 of the toolbox adds support for octonions. Version 3 adds symbolic computation with quaternions, provided that you have the Symbolic Math Toolbox (if you don't the numeric functionality will still work). -
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SparesPOP is a MATLAB implementation of a sparse semidefinite programming (SDP) relaxation method proposed for polynomial optimization problems (POPs). Please send a message to kojima-spop@is.titech.ac.jp if you have any question and/or request. We also release SparsePOPC++ and SparsePOPC++-windows. Both implementations are SparsePOP which does not use MATLAB, but only C++. In particular, SparsePOPC++-windows contains a binary file which works on Windows, and does not require to compile.
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The purpose of this program is to provide the user with a convenient algorithm for automatic Independent Component (IC) selection with respect to the contributions of the ICs to a certain event-related brain potential (ERP). www.jan-wessel.de
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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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MORPHE
MORphological PHenotype Extraction
MORphological PHenotype Extraction (MORPHE) is a suite of automated image processing, visualization, and classification algorithms to facilitate the analysis of heritable and clonal red-to-green transitions that occurred during the growth of a colony. -
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A library for fast computation of Gauss transforms in multiple dimensions, using the Improved Fast Gauss Transform and Approximate Nearest Neighbor searching. This library is useful for efficient Kernel Density Estimation (KDE) using a Gaussian kernel.
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ArchNURBS
NURBS-based elastic and limit analysis of masonry arches in MATLAB
ArchNURBS is a MATLAB tool for the analysis of planar curved structures, with a particular attention to masonry arches. As in CAD softwares, the geometry of the model is defined by a NURBS representation of the structure. Indeed, the user can upload geometries imported from a CAD environment. Based on such a representation, ArchNURBS performs the elastic isogeometric finite element analysis and the collapse limit analysis of the structure. It is possible to include in the analysis the presence of Fiber-Reinforced Polymers (FRP) extrados and intrados strips. A comprehensive descritpion of ArchNURBS is given in "ArchNURBS: NURBS-Based Tool for the Structural Safety Assessment of Masonry Arches in MATLAB", A. Chiozzi, M. Malagu', A. Tralli and A.Cazzani, J. Comput. Civil Eng., 2015. (http://ascelibrary.org/doi/abs/10.1061/%28ASCE%29CP.1943-5487.0000481) ArchNURBS has been developed thanks to a collaboration between the University of Ferrara (Italy) and the University of Cagliar -
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A C++ library for the computation of bifurcation diagrams: it provides tools for the integration of systems of ODEs that depend on parameters. A Python interface is included.
