Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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THE LOCATION FOR EIGENVALUES OF COMPLEX MATRICES BY A NUMERICAL METHOD

  • 투고 : 2010.04.15
  • 심사 : 2010.07.10
  • 발행 : 2011.01.30
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초록

In this paper, we adopt a numerical method to establish the smallest set to contain all Ger$\v{s}$gorin discs of a given complex matrix and its some similar matrices. With the smallest set, a new estimation for all eigenvalues of the matrix is obtained.

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참고문헌

  1. R.S. Varga, Gersgorin and His Circles, Springer Series in Computational Mathematics, vol. 36, 2004.
  2. L.J. Cvetkovic,V.Kostic, R. Varga, A new Gersgorin-type eigenvalue inclusion set, ETNA 18 (2004) 73-80.
  3. L.J. Cvetkovic,V.Kostic, Between Gersgorin and minimal Gersgorin sets, Journal of Computational and Applied Mathematics 196(2006) 452-458. https://doi.org/10.1016/j.cam.2005.09.012