Kronecker-product approximations for some function-related matrices
β Scribed by Eugene Tyrtyshnikov
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 219 KB
- Volume
- 379
- Category
- Article
- ISSN
- 0024-3795
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## Abstract Many very large Markov chains can be modelled efficiently as stochastic automata networks (SANs). A SAN is composed of individual automata which, for the most part, act independently, requiring only infrequent interaction. SANs represent the generator matrix __Q__ of the underlying Mark
A comparison study of the asymptotic behavior between different compression techniques is reported. We show that by applying the Kronecker product approximation, the storage of a three-dimensional demagnetizing tensor with N 6 entries can be reduced to OΓ°N 2 Γ, showing a superlinear compression beha