On one class of positive matrices with minors of different signs

O. Y. Kushel

Belarusian State University

Abstract: A new class of sign-symmetric matrices is introduced in this paper. Such matrices are named strictly $\mathcal J$-sign-symmetric. The existence of the second (according to the module) positive simple eigenvalue $\lambda_2$ of a positive matrix $A$ is proved under the additional condition, that its compound matrix belongs to the introduced class of strictly $\mathcal J$-sign-symmetric matrices.

UDC: 517.984

Received: 03.09.2008

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