The Kronecker product and stochastic automata networks

Authors:
Amy N. Langville;William J. Stewart
Affiliations:
Operations Research Program, N. Carolina State University, Raleigh, NC;Department of Computer Science, N. Carolina State University, Raleigh, N.C.
Venue:
Journal of Computational and Applied Mathematics
Year:
2004

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Abstract

This paper can be thought of as a companion paper to Van Loan's The Ubiquitous Kronecker Product paper (J. Comput. Appl. Math. 123 (2000) 85). We collect and catalog the most useful properties of the Kronecker product and present them in one place. We prove several new properties that we discovered in our search for a stochastic automata network preconditioner. We conclude by describing one application of the Kronecker product, omitted from Van Loan's list of applications, namely stochastic automata networks.