Tools for building non-allocating pre-cached functions in Julia, allowing for GC-free usage of automatic differentiation in complex codes

Mike's Little Intermediate Representation

Uniform Interface for positive definite matrices of various structures

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Functions generated at runtime without world-age issues or overhead

Random Number Generators for the Julia Language.

The Arnoldi Method with Krylov-Schur restart, natively in Julia.

A library of useful callbacks for hybrid scientific machine learning (SciML) with augmented differential equation solvers

Fast and differentiable implementations of matrix exponentials, Krylov exponential matrix-vector multiplications ("expmv"), KIOPS, ExpoKit functions, and more. All your exponential needs in SciML form.

Julia implementation of associative containers that preserve insertion order

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SparseArrays.jl is a Julia stdlib

Julia-based implementation of ellipsis array indexing notation `..`

This is what I wish `Base.@enum` was.

Simple, consistent interfaces for any codec.

Cunning tricks though the julia compiler internals

Collective tools for metaprogramming on Julia Expr

`@pack!` and `@unpack` macros

TAR files: create, list, extract them in pure Julia

Fixed point types for julia

Basic color definitions and traits

Light-weight expression manipulation tools

🏩🏠🌆🏨🌇🏦

A simple shared suite of common derivative definitions

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

Optimisers.jl defines many standard optimisers and utilities for learning loops.

Missing value support for Julia

A Julia package for calculating hypergeometric functions

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

A library of noise processes for stochastic systems like stochastic differential equations (SDEs) and other systems that are present in scientific machine learning (SciML)

Fast and simple nonlinear solvers for the SciML common interface. Newton, Broyden, Bisection, Falsi, and more rootfinders on a standard interface.

Scratch spaces for all your persistent mutable data needs

A Julia package for representing block-banded matrices and banded-block-banded matrices

A Julia package for describing array layouts and more general fast linear algebra

Ask the CPU for cache sizes, SIMD feature support, a running hypervisor, and more.

Faster closure variable capture

Extra sorting algorithms extending Julia's sorting API