This paper describes a generalized internally pos- itive representation of a diagonalizable matrix and proves that its stability is equivalent to the fact that its eigenvalues belong to the zone described by the Karpelevich Theorem. This in turn implies the minimality of the generalized internally positive representation of complex numbers.
Karpelevich Theorem and the positive realization of matrices
CACACE F;
2020-01-01
Abstract
This paper describes a generalized internally pos- itive representation of a diagonalizable matrix and proves that its stability is equivalent to the fact that its eigenvalues belong to the zone described by the Karpelevich Theorem. This in turn implies the minimality of the generalized internally positive representation of complex numbers.File in questo prodotto:
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