КОНТРПРИМЕР ДЛЯ ДВУХ ТЕОРЕМ ИЗ ТЕОРИИ НЕРАЗЛОЖИМЫХ МАТРИЦ ИНДЕКСА                   k ≥ 2 С КОМПЛЕКСНЫМИ ЭЛЕМЕНТАМИ

V P Egorov

Counterexample for Two Theorems from the Theory of Irreducible Matrices of Imprimitivity Index k≥2 with Complex Elements

Authors

V. P. Egorov Cherepovets State University

Keywords:

irreducible matrices, index of imprimitivity

Abstract

An example of irreducible 4´4-matrix with complex elements, discordant to Wielandt theorem and theorem of so called Frobenius form of irreducible matrices in [2] is considered in the paper.

Author Biography

V. P. Egorov, Cherepovets State University

PhD (Physics and Mathematics), Associate Professor

References

Wielandt H. Unzerlegbare nicht negative Matrizen. - Math. Z. -1950. - 52. - S. 642-648.

Minc H. Nonnegative Matrices. - New York : Berlin Press, 1988. - 206 pp.

Гантмахер Ф. Р. Теория матриц. - М. : Наука, 1988. - 552 с.

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

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Published

15.12.2014

How to Cite

Egorov В. П. (2014). Counterexample for Two Theorems from the Theory of Irreducible Matrices of Imprimitivity Index k≥2 with Complex Elements. Vestnik IzhGTU Imeni M.T. Kalashnikova, (4), 166–168. Retrieved from https://izdat.istu.ru/index.php/vestnik/article/view/2346