Displaying similar documents to “Algebraic properties of the 3-state vector Potts model”

Existence and determination of the set of Metzler matrices for given stable polynomials

Tadeusz Kaczorek (2012)

International Journal of Applied Mathematics and Computer Science

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The problem of the existence and determination of the set of Metzler matrices for given stable polynomials is formulated and solved. Necessary and sufficient conditions are established for the existence of the set of Metzler matrices for given stable polynomials. A procedure for finding the set of Metzler matrices for given stable polynomials is proposed and illustrated with numerical examples.

How similarity matrices are?

Teresa Riera (1978)

Stochastica

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In finite sets with n elements, every similarity relation (or fuzzy equivalence) can be represented by an n x n-matrix S = (s), s ∈ [0,1], such that s = 1 (1 ≤ i ≤ n), s = s for any i,j and S o S = S, where o denotes the max-min product of matrices. These matrices represent also dendograms and sets of closed balls of a finite ultrametric space (vid. [1], [2], [3]).