https://github.com/theozeud/polyset.jl

A Julia package for vectorized manipulation of univariate polynomial sets.
https://github.com/theozeud/polyset.jl

finite-element-methods julia maths polynomials

Last synced: about 1 year ago
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A Julia package for vectorized manipulation of univariate polynomial sets.

• Host: GitHub
• URL: https://github.com/theozeud/polyset.jl
• Owner: Theozeud
• License: mit
• Created: 2025-04-19T07:41:08.000Z (about 1 year ago)
• Default Branch: main
• Last Pushed: 2025-04-21T20:06:11.000Z (about 1 year ago)
• Last Synced: 2025-04-22T12:16:44.528Z (about 1 year ago)
• Topics: finite-element-methods, julia, maths, polynomials
• Language: Julia
• Homepage:
• Size: 44.9 KB
• Stars: 1
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

          
# PolySet.jl

[![Build Status](https://github.com/Theozeud/PolySet.jl/actions/workflows/CI.yml/badge.svg?branch=main)](https://github.com/Theozeud/PolySet.jl/actions/workflows/CI.yml?query=branch%3Amain)

[![Coverage](https://codecov.io/gh/Theozeud/PolySet.jl/branch/main/graph/badge.svg)](https://codecov.io/gh/Theozeud/PolySet.jl)

![License](https://img.shields.io/badge/license-MIT-blue.svg)

**PolySet.jl** is a Julia package for efficient and vectorized manipulation of univariate polynomial sets.

## Motivation

When working with a large number of univariate polynomials, it is often desirable to avoid iterative, coefficient-by-coefficient manipulations. `PolySet.jl` is designed to provide a fast and structured way to store and operate on collections of polynomials using array-based representations.

The core idea is to store multiple polynomials in a single 2D matrix, where:

- each **row** corresponds to a polynomial,

- each **column** holds the coefficient for a given degree (in increasing order),

- and operations such as evaluation, differentiation, integration, or addition are performed in a fully vectorized way.

This structure is particularly well-suited for numerical applications, symbolic prototyping, and situations where many polynomials are manipulated simultaneously.

## Features

- Compact storage of univariate polynomials

- Fast vectorized evaluation using Horner's method

- Vectorized differentiation

- Support for polynomial basis generation (e.g. monomials)

- Interoperable with standard Julia arrays

- Compatible with GPU acceleration (planned)