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

Powerful convenience for Julia visualizations and data analysis

Forward Mode Automatic Differentiation for Julia

Statically sized arrays for Julia

Macro(s) for vectorizing loops.

Julia implementation of Data structures

Formatted output of timed sections in Julia

HTTP for Julia

A benchmarking framework for the Julia language

Physical quantities with arbitrary units

Basic statistics for Julia

Convert julia objects to LaTeX equations, arrays or other environments.

Julia bindings for the Enzyme automatic differentiator

Print data in formatted tables.

Julia functional programming infrastructures and metaprogramming facilities

Iterative algorithms for solving linear systems, eigensystems, and singular value problems

A data structure for mathematical optimization problems

Plotting for Julia based on GR, a framework for visualisation applications

Special mathematical functions in Julia

Root finding functions for Julia

A Julia Basket of Hand-Picked Krylov Methods

Reusable array functionality for Julia's various GPU backends.

JSON parsing and printing

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

Lazy arrays and linear algebra in Julia

An interface for tables in Julia

Library for validated numerics using interval arithmetic

An alternative interface for dictionaries in Julia, for improved productivity and performance

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.

LinearSolve.jl: High-Performance Unified Interface for Linear Solvers in Julia. Easily switch between factorization and Krylov methods, add preconditioners, and all in one interface.

The cheapest threads you can find!

Scalable symbolic-numeric set computations in Julia

Tools for easily handling objects like arrays of arrays and deeper nestings in scientific machine learning (SciML) and other applications

Convenient input and display of LaTeX equation strings for the Julia language

Color manipulation utilities for Julia

Reduce time-to-first-execution of Julia code

Fortran-like arrays with arbitrary, zero or negative starting indices.

Lazy code loading for Julia

BlockArrays for Julia

Colorschemes, colormaps, gradients, and palettes