This paper describes a generalized internally positive 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

Germani, A;Manes, C
2019

Abstract

This paper describes a generalized internally positive 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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/157611
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