Forward Mode Automatic Differentiation for Julia

Julia implementation of Data structures

Statically sized arrays for Julia

Macro(s) for vectorizing loops.

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

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

A man has written a package. A package has no name.

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.

An interface for tables in Julia

Special mathematical functions in Julia

Efficient implementation of struct arrays in Julia

Lazy code loading for Julia

Fast non-allocating calculations of gradients, Jacobians, and Hessians with sparsity support

The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems

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

Update deeply nested immutable structs.

Krylov methods for linear problems, eigenvalues, singular values and matrix functions

Compatibility across Julia versions

BlockArrays for Julia

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

It is like recipes but for AD! (Full functionality is in ChainRules.jl but this a light weight dependency just to define sensitivities for your functions in your packages)

Base package for defining transformation recipes on user types for Plots.jl

Julia macro for re-exporting one module from another

Julia package for lazily representing matrices filled with a single entry

Arrays which also have a label for each element for easy scientific machine learning (SciML)

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Extensions for Julia's docsystem.

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

Implicitly Restarted Arnoldi Method, natively in Julia

A Julia API for hwloc

Julia Wrappers for the arpack-ng Fortran library

`@pack` and `@unpack` macros

Julia implementation of associative containers that preserve insertion order

Project Preferences Package

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Base library providing vectorization-tools (ie, SIMD) that other libraries are built off of.

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Low overhead threading interface.

A simple shared suite of common derivative definitions

Naïve combined subexpression elimination in Julia