Disposition of Eigenvalues of Imprimitive Nonnegative Indecomposable Matrices

Mikhlin M.Y.

Abstract


Disposition of eigenvalues of imprimitive nonnegative indecomposable matrices of n ´ n dimension is considered. As for the outer circle, k (2 ≤ k ≤ n) eigenvalues with the maximum module are always located there, and not obligatory k pieces of them are on the remaining circles.

Keywords


matrix; eigenvalue; index of imprimitivity

References References

Гантмахер Ф. Р. Теория матриц. - М. : Наука, 1968. - 576 c.

Хорн Р., Джонсон Ч. Матричный анализ : пер. с англ. - М. : Мир, 1989. - 655 c.


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ISSN 1813-7903 (Print)
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