Tensorial.jl

Introduction

Tensorial.jl provides statically sized Tensor type that is compatible with AbstractArray, similar to SArray from StaticArrays.jl. In addition to supporting basic AbstractArray operations, the package offers a tensorial interface and several advanced features:

• Contraction, tensor product (⊗), and a flexible @einsum macro for Einstein summation convention
• A @Symmetry macro to define the tensor symmetries, eliminating unnecessary calculations
• Automatic differentiation via gradient and hessian functions, leveraging ForwardDiff.jl
• Performance comparable to SArray (see benchmarks)

Installation

pkg> add Tensorial

Other tensor packages

• Einsum.jl
• TensorOprations.jl
• Tensors.jl
• Tullio.jl

Inspiration

Some functionalities are inspired from the following packages:

• StaticArrays.jl
• Tensors.jl