Fast and Efficient Kronecker Multiplication

Version (860 Bytes) by David Gleich
Computes a matrix-vector product with a repeated Kronecker product matrix.
Updated 14 Apr 2009

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Computing the matrix-vector product

y = (Q1 kron Q2 kron ... kron Qm) * x

can be done without ever forming the big matrix of Kronecker products. This m-file implements an algorithm for this task from page 394 of Fernandes, et al. 1998, JACM 45(3): 381--414 (doi:10.1145/278298.278303). The implementation works where X is a matrix too.

Don't be scared off by the for-loops, this code works well with the Matlab JIT compiler and works for vectors with over 50 million entries.

Cite As

David Gleich (2024). Fast and Efficient Kronecker Multiplication (, MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2008b
Compatible with any release
Platform Compatibility
Windows macOS Linux
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Version Published Release Notes

Fixed the citation.