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JOURNALS // Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva // Archive

Zhurnal SVMO, 2014, Volume 16, Number 1, Pages 177–180 (Mi svmo467)

Short Communications

The necessary and sufficient conditions of stability and in stability one class of matrixes linear operators

A. V. Zubov, O. A. Pustovalova, I. S. Strecopitov

Saint Petersburg State University

Abstract: In this article is find sufficiently and necessary conditions of stability and un stability one class of matrixes linear operators in terms deny definite in first case and meanings plus and deny indexes in second case quadrat form emit compound they additive representation.

Keywords: linear operators, Hermitian quadratic form, the characteristic polynomial.

UDC: 517.929

Received: 18.07.2014



© Steklov Math. Inst. of RAS, 2024