Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 167, Issue 2, Pages 429-447Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cam.2003.10.010
Keywords
stochastic automata networks; Kronecker products; Kronecker product properties; preconditioning
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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. (C) 2003 Elsevier B.V. All rights reserved.
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