The ubiquitous Kronecker product

2000/11/01 by Charles F. Van Loan, Charles F.Van Loan · 10 citations
Computer Science · Engineering · Mathematics · #Advanced Optimization Algorithms Research #Algebra over a field #Algorithm #Computer science #Dimension (graph theory) #Kronecker delta #Kronecker product #Linear algebra #Mathematics #Matrix Theory and Algorithms #Matrix multiplication #Product (mathematics) #Pure mathematics #Quantum #Sparse and Compressive Sensing Techniques #Theoretical computer science

paper · pdf · doi:10.1016/s0377-0427(00)00393-9

crossref issued 2000/11/01 · crossref published 2000/11/01 · crossref published-print 2000/11/01 · openalex publication_date 2000/11/01 · crossref created 2002/10/14 · crossref deposited 2025/10/07 · openalex created_date 2025/10/10 · crossref indexed 2026/07/31 · openalex updated_date 2026/08/02

Citations

• The vec-permutation matrix, the vec operator and Kronecker products: a review
• Fast Fourier Transforms for Nonequispaced Data
• The Differentiation of Pseudo-Inverses and Nonlinear Least Squares Problems Whose Variables Separate
• On the history of the kronecker product
• Semidefinite Programming

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• A tensor-based exponential integrator for diffusion--reaction equations in common curvilinear coordinates
• Rotation-time symmetry in bosonic systems and the existence of exceptional points in the absence of \mathscrPT symmetry
• Minimax lower bounds for Kronecker-structured dictionary learning
• Riemannian Patch Assignment Gradient Flows
• Parameter-Efficient Semantic Augmentation for Enhancing Open-Vocabulary Object Detection
• Kronecker product [wikipedia]