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mathnet/mathnet-numerics

Analysis updated 2026-07-03

3,735C#Audience · researcherComplexity · 3/5LicenseSetup · easy

TLDR

Math.NET Numerics is a .NET math library covering matrices, statistics, probability, FFT, and more, installable via NuGet with optional Intel MKL acceleration for high-performance computing.

Mindmap

mindmap
  root((Math.NET Numerics))
    What it does
      Linear algebra
      Statistics
      Signal processing
      Curve fitting
    Tech Stack
      C# .NET
      F# companion
      Intel MKL optional
    Use Cases
      Scientific computing
      Data analysis
      FFT processing
    Audience
      Researchers
      Data scientists
      .NET engineers
    Setup
      NuGet install
      Native libs optional
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What do people build with it?

USE CASE 1

Solve linear algebra problems like matrix decomposition and least-squares regression in a C# app without writing the math yourself

USE CASE 2

Run statistical analysis, probability distributions, and random sampling in a .NET data pipeline

USE CASE 3

Perform FFT signal processing on time-series data in a .NET application

USE CASE 4

Load a MATLAB .mat file or CSV matrix into a .NET project and run numerical computations on it without leaving the language

What is it built with?

C#F#.NETNuGetIntel MKLOpenBLAS

How does it compare?

mathnet/mathnet-numericsumlx5h/llplayermicrosoft/kiota
Stars3,7353,7353,734
LanguageC#C#C#
Setup difficultyeasymoderateeasy
Complexity3/53/52/5
Audienceresearchergeneraldeveloper

Figures from each repo's GitHub metadata at analysis time.

How do you get it running?

Difficulty · easy Time to first run · 30min

Pure managed mode works out of the box via NuGet, Intel MKL or OpenBLAS requires an additional NuGet package for native acceleration.

Use freely for any purpose, including commercial projects, as long as you keep the MIT copyright notice.

In plain English

Math.NET Numerics is an open-source mathematics library for the .NET platform, written primarily in C#. It provides ready-to-use implementations of a wide range of numerical methods so developers do not have to write their own from scratch. The covered areas include linear algebra (matrix operations, decompositions), statistics, probability distributions, random number generation, interpolation, numerical integration, regression, curve fitting, and signal processing transforms like FFT. The library is part of the broader Math.NET initiative and targets .NET applications running on .NET 5 or later.NET Framework 4.6.1 or later, and .NET Standard 2.0. It installs via NuGet, the standard package manager for .NET projects, so adding it to a project is a single command or a click in an IDE. F# developers get specific support through a separate companion package that adds idiomatic extensions making the library feel more natural in functional code. A BigRational data type, originally from the F# PowerPack, is maintained here as well. For applications where raw performance matters, the default managed-code implementation behind linear algebra operations can be swapped out for bindings to optimized native libraries. Intel MKL and OpenBLAS are both supported through optional NuGet packages. This means the same code can run in pure managed mode during development or testing, and switch to native acceleration in production without any API changes. Optional data extension packages handle reading and writing matrices in text formats like CSV, the MatrixMarket format, and MATLAB's Level-5 .mat file format. These are separate installs, so you only add what your project needs. The library is released under the MIT license, which allows use in both open-source and commercial projects. Contributions are accepted, and the project has active discussion forums and a Stack Overflow presence.

Copy-paste prompts

Prompt 1
Show me how to install Math.NET Numerics via NuGet and perform a QR decomposition on a 3x3 matrix in C#.
Prompt 2
Using Math.NET Numerics, fit a polynomial regression curve to a set of X/Y data points and print the coefficients in C#.
Prompt 3
How do I enable Intel MKL acceleration in Math.NET Numerics so my matrix operations run on optimized native code instead of managed C#?
Prompt 4
Compute the Fast Fourier Transform of a double array in C# using Math.NET Numerics and get the magnitude spectrum.
Prompt 5
Show me how to use Math.NET Numerics in F# with the F# companion package to compute the mean, variance, and histogram of a dataset.

Frequently asked questions

What is mathnet-numerics?

Math.NET Numerics is a .NET math library covering matrices, statistics, probability, FFT, and more, installable via NuGet with optional Intel MKL acceleration for high-performance computing.

What language is mathnet-numerics written in?

Mainly C#. The stack also includes C#, F#, .NET.

What license does mathnet-numerics use?

Use freely for any purpose, including commercial projects, as long as you keep the MIT copyright notice.

How hard is mathnet-numerics to set up?

Setup difficulty is rated easy, with roughly 30min to a first successful run.

Who is mathnet-numerics for?

Mainly researcher.

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