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

Library for validated numerics using interval arithmetic

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.

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

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!

Fast jacobian computation through sparsity exploitation and matrix coloring

Mathematical functions related to statistics.

Main Package for IO, loading all different kind of files

A combinatorics library for 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

Reduce time-to-first-execution of Julia code

Color manipulation utilities for Julia

Neural Network primitives with multiple backends

Abstract julia interfaces for working with trees

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

Lazy code loading for Julia

BlockArrays for Julia

Colorschemes, colormaps, gradients, and palettes

Julia package for lazily representing matrices filled with a single entry

Update immutable data

Data Structures for Optimization Models

Efficient computations with symmetric and non-symmetric tensors with support for automatic differentiation.

Explicit SIMD vector operations for Julia

Update deeply nested immutable structs.

Basic Geometry Types

Julia macro for re-exporting one module from another

Interpreter for Julia code

Reusable compiler infrastructure for Julia GPU backends.

C# style generators a.k.a. semi-coroutines for Julia.

Simple Traits for Julia

An enhancement to julia piping syntax

Common functional iterator patterns

Julia package for writing VTK XML files

Einstein summation notation in Julia

Linear Operators for Julia

Colored and styled strings for terminals.