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Matrix approach to the problem of matrix partitioning

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2 Author(s)
Stasevich, S.I. ; Council for Cybern., Acad. of Sci., Moscow, Russia ; Koshelev, V.N.

We derive upper and lower bounds on the number of all variants a rectangular M×N matrix can be partitioned into fragments. Next the problem of matrix partitioning is considered as a particular example of a more general problem of constructing two-dimensional Markov processes (fields) on discrete rectangular lattices. We discuss a matrix-theoretical approach to the problem to explore the structure of discrete fields defined by a given matrix of local interaction

Published in:

Information Theory, 1995. Proceedings., 1995 IEEE International Symposium on

Date of Conference:

17-22 Sep 1995

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