Forward Mode Automatic Differentiation for Julia

Statically sized arrays for Julia

Julia implementation of Data structures

Formatted output of timed sections in Julia

Julia bindings for the Enzyme automatic differentiator

Special mathematical functions in Julia

A Julia Basket of Hand-Picked Krylov Methods

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

Arrays with arbitrarily nested named components.

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.

Reduce time-to-first-execution of Julia code

Lazy code loading for Julia

Julia package for lazily representing matrices filled with a single entry

An interface to various automatic differentiation backends in Julia.

Julia macro for re-exporting one module from another

Reusable compiler infrastructure for Julia GPU backends.

Linear Operators for Julia

Compatibility across Julia versions

Designs for new Base array interface primitives, used widely through scientific machine learning (SciML) and other organizations

Julia wrapper for the LLVM C API

Project Preferences Package

Automatic differentiation of implicit functions

Parameterise all the things

Extensions for Julia's docsystem.

Uniform Interface for positive definite matrices of various structures

Julia implementation of associative containers that preserve insertion order

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SparseArrays.jl is a Julia stdlib

Light-weight expression manipulation tools

A simple shared suite of common derivative definitions

Julia package for various special functions based on `log` and `exp`.

Scratch spaces for all your persistent mutable data needs

Faster closure variable capture

Julia math built-ins which return NaN and accumulator functions which ignore NaN

Static types useful for dispatch and generated functions.

Makes Julia's package extensions backwards compatible

Repository for automatic differentiation backend types

Naïve combined subexpression elimination in Julia

A package which provides an API for querying differentiation results at multiple orders simultaneously

Interface for function inversion in Julia