Sibirskii Zhurnal Industrial'noi Matematiki
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Sibirskii Zhurnal Industrial'noi Matematiki, 2001, Volume 4, Number 2, Pages 73–94 (Mi sjim135)  
This article is cited in 1 scientific paper (total in 1 paper)

Counting the eigenvalues surrounded by a closed curve

O. Bertranda, B. Philippeb

a CSSI SCFN
b French National Institute for Research in Computer Science and Automatic Control (INRIA), IRISA
Full-text PDF (323 kB) Citations (1)
Abstract: A procedure for counting the number of eigenvalues of a given matrix which are surrounded by a curve is presented. It is based on the application of the Caushy formula. The quadrature can be performed by different formulae (series expension, trapezoidal rule, ODE solvers). The main point consists of selecting an appropriate step size. Numerical tests are reported for matrices ranging from medium to large orders.
Received: 18.04.2001
Bibliographic databases:
UDC: 512.64
Language: English
Citation: O. Bertrand, B. Philippe, “Counting the eigenvalues surrounded by a closed curve”, Sib. Zh. Ind. Mat., 4:2 (2001), 73–94
Citation in format AMSBIB
\Bibitem{BerPhi01}
\by O.~Bertrand, B.~Philippe
\paper Counting the eigenvalues surrounded by a~closed curve
\jour Sib. Zh. Ind. Mat.
\yr 2001
\vol 4
\issue 2
\pages 73--94
\mathnet{http://mi.mathnet.ru/sjim135}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1965924}
\zmath{https://zbmath.org/?q=an:0993.65043}
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  • https://www.mathnet.ru/eng/sjim/v4/i2/p73
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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