V. N. Solov'ev, “A generalization of Gershgorin's theorem”, Math. USSR-Izv., 23:3 (1984), 545

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Mathematics of the USSR-Izvestiya, 1984, Volume 23, Issue 3, Pages 545–560
DOI: https://doi.org/10.1070/IM1984v023n03ABEH001785 (Mi im1464)

This article is cited in 13 scientific papers (total in 13 papers)

A generalization of Gershgorin's theorem

V. N. Solov'ev

English version PDF (869 kB) Citations (13) Russian version article

References:

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DOI: https://doi.org/10.1070/IM1984v023n03ABEH001785

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.

Received: 15.07.1982

Bibliographic databases:

UDC: 518.512.25

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

Language: English

Original paper language: Russian

Citation: V. N. Solov'ev, “A generalization of Gershgorin's theorem”, Math. USSR-Izv., 23:3 (1984), 545–560

Citation in format AMSBIB

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\by V.~N.~Solov'ev

\paper A~generalization of Gershgorin's theorem

\jour Math. USSR-Izv.

\yr 1984

\vol 23

\issue 3

\pages 545--560

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\crossref{https://doi.org/10.1070/IM1984v023n03ABEH001785}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=727756}

\zmath{https://zbmath.org/?q=an:0572.65022|0551.65017}

Linking options:

https://www.mathnet.ru/eng/im1464

https://doi.org/10.1070/IM1984v023n03ABEH001785

https://www.mathnet.ru/eng/im/v47/i6/p1285

This publication is cited in the following 13 articles:

Zhong Chen, Xiaofang Chen, Jinping Liu, Lihui Cen, Weihua Gui, “Learning model predictive control of nonlinear systems with time-varying parameters using Koopman operator”, Applied Mathematics and Computation, 470 (2024), 128577
Hai Feng Sang, Qing Chun Li, Xin Min Li, “The New Criterion for Determining Nonsigularity of Matrices”, AMM, 380-384 (2013), 1262
Song-Ping Zhu, Wen-Ting Chen, “An inverse finite element method for pricing american options”, Journal of Economic Dynamics and Control, 2012
Richard A. Brualdi, “Spectra of digraphs”, Linear Algebra and its Applications, 432:9 (2010), 2181
Michael R. Beran, Scott M. Cohen, “Phase boundaries in deterministic dense coding”, Phys Rev A, 79:3 (2009), 032307
Yueting Yang, Chengxian Xu, “H-matrices and S-doubly diagonally dominant matrices”, Appl Math Chin Univ, 19:3 (2004), 349
Alan J. Hoffman, “Gersgorin variations I: on a theme of Pupkov and Solov'ev”, Linear Algebra and its Applications, 304:1-3 (2000), 173
L. Naimark, E. Zeheb, “An extension of the Levy-Desplanque theorem and some stability conditions for matrices with uncertain entries”, IEEE Trans Circuits Syst I, 44:2 (1997), 167
Bit-Shun Tam, Shangjun Yang, Xiaodong Zhang, “Invertibility of irreducible matrices”, Linear Algebra and its Applications, 259 (1997), 39
E. Zeheb, 5, Proceedings of IEEE International Symposium on Circuits and Systems - ISCAS '94, 1994, 125
L. Naimark, E. Zeheb, 3, Proceedings of 1994 33rd IEEE Conference on Decision and Control, 1994, 3015
Richard A. Brualdi, Stephen Mellendorf, “Regions in the Complex Plane Containing the Eigenvalues of a Matrix”, The American Mathematical Monthly, 101:10 (1994), 975
A. A. Abdurakhmanov, “The geometry of the Hausdorff domain in localization problems for the spectrum of arbitrary matrices”, Math. USSR-Sb., 59:1 (1988), 39–51

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	1767
Russian version PDF:	1230
English version PDF:	113
References:	114
First page:	1

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