Modeling language for Mathematical Optimization (linear, mixed-integer, conic, semidefinite, nonlinear)

A Julia package for probability distributions and associated functions.

Forward Mode Automatic Differentiation for Julia

Statically sized arrays for Julia

Julia implementation of Data structures

A benchmarking framework for the Julia language

Basic statistics for Julia

Types with default field values, keyword constructors and (un-)pack macros

A data structure for mathematical optimization problems

Special mathematical functions in Julia

JSON parsing and printing

MacroTools provides a library of tools for working with Julia code and expressions.

A Julia package for defining and working with linear maps, also known as linear transformations or linear operators acting on vectors. The only requirement for a LinearMap is that it can act on a vector (by multiplication) efficiently.

High accuracy derivatives, estimated via numerical finite differences (formerly FDM.jl)

Julia bindings to the FFTW library for fast Fourier transforms

Adaptive 1d numerical Gauss–Kronrod integration in Julia

AD-backend agnostic system defining custom forward and reverse mode rules. This is the light weight core to allow you to define rules for your functions in your packages, without depending on any particular AD system.

A Julia/JuMP-based Global Optimization Solver for Non-convex Programs

Mathematical functions related to statistics.

A combinatorics library for Julia

Reduce time-to-first-execution of Julia code

Lazy code loading for Julia

Julia package for lazily representing matrices filled with a single entry

Update immutable data

Julia macro for re-exporting one module from another

A Julia interface to the Ipopt nonlinear solver

Compatibility across Julia versions

Project Preferences Package

A Julia framework for implementing FFTs

For working with dimensions of arrays by name

Fast parsing machinery for basic types in Julia

Extensions for Julia's docsystem.

Uniform Interface for positive definite matrices of various structures

Lightweight and easy generation of quasi-Monte Carlo sequences with a ton of different methods on one API for easy parameter exploration in scientific machine learning (SciML)

Prime numbers in Julia

Julia implementation of associative containers that preserve insertion order

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SparseArrays.jl is a Julia stdlib

A general-purpose toolbox for efficient Kronecker-based algebra.

Simple, consistent interfaces for any codec.