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III.—The Eigenvalue Problem for Boolean Matrices*

Published online by Cambridge University Press:  14 February 2012

D. E. Rutherford
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Synopsis

In the case of Boolean matrices a given eigenvector may have a variety of eigenvalues. These eigenvalues form a sublattice of the basic Boolean algebra and the structure of this sublattice is investigated. Likewise a given eigenvalue has a variety of eigenvectors which form a module of the Boolean vector space. The structure of this module is examined. It is also shown that if a vector has a unique eigenvalue λ, then λ satisfies the characteristic equation of the matrix.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 67 , Issue 1 , 1965 , pp. 25 - 38
Copyright
Copyright © Royal Society of Edinburgh 1963

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References

References to Literature

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