tensorproduct - Multiplication of multidimensional arrays

Product of multidimensional matlab arrays following Einstein summation convention, where repeated indices sum over


Updated 16 Apr 2021

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Implementation of Einstein summation convention for multidimensional matlab arrays, where repeated indices sum over.

Supports multiple:
- Outer products
- Inner products
- Singleton dimensions
- Pages

A = rand(5, 1,4,8); B = rand(4,10,5 ); R = tensorproduct('jzgi',A,'gxki',B,'kjg');
Outer: 'i','j', Inner: 'k', Page: 'g', Singleton: 'x','z', size(R) = [10,1,5,8].

- ind_R : string with indices of the output
- A : (non-empty) (multidimensional) matlab array
- ind_A : string with indices of array A
- B : (non-empty) (multidimensional) matlab array
- ind_B : string with indices of array B

Version compatibility: This implementation makes use of Matlab built-in function pagemtimes,
introduced in Matlab version R2020b. To make use of this implementation in previous Matlab releases, comment/uncomment few lines in the body of tensorproduct_core, as specified in the routine.

The performance of tensorproduct can be assessed by calling the function tensorproduct_benchmark.

Cite As

David Codony (2023). tensorproduct - Multiplication of multidimensional arrays (https://www.mathworks.com/matlabcentral/fileexchange/90586-tensorproduct-multiplication-of-multidimensional-arrays), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2021a
Compatible with any release
Platform Compatibility
Windows macOS Linux

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