This article is cited in 13 papers

A generalization of Gershgorin's theorem

V. N. Solov'ev


Abstract: Estimates convenient for applicatins are obtained for the eigenvalues of complex matrices. Some applications in stability theory are indicated. The results are obtained by methods of convex analysis and the theory of nonnegative matrices.
Bibliography: 24 titles.

UDC: 518.512.25

MSC: Primary 15A18, 65F15; Secondary 15A42, 26B25, 34D20

Received: 15.07.1982

 English version: Mathematics of the USSR-Izvestiya, 1984, 23:3, 545–560

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