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Selçuk Journal
of
Applied Mathematics
SPECIAL ISSUE
Summer-Autumn, 2001
Volume 2
Number 2
Research Center
of
Applied Mathematics
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SJAM
Summer-Autumn 2001, Volume 2 - Number 2
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On a functional approach to spectral problems of linear algebra |
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Gennadii Demidenko* |
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Sobolev Institute of Mathematics, SB RAS, Novosibirsk, Russia
email: demidenk@math.nsc.ru
Received: October 16, 2001
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Summary
In the paper we present some applications of a new method for constructing approximate projections onto invariant subspaces of linear operators. We illustrate the method on the dichotomy problem for the matrix spectrum with respect to an ellipse. We prove Lyapunov type theorems on location of the matrix spectrum with respect to an ellipse. |
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Key
words
projections onto invariant subspaces, matrix spectrum dichotomy, matrix equations
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Mathematics Subject Classification (1991): 15A60, 47A15,
47A58, 65F30
* The research was financially supported by the Scientific and Technical Research Council of Turkey (TUBITAK) in the framework of a NATO-PC Advanced Fellowships Programme. |
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Article
in PS format (244 kb) |
Article in ZIP
format (56 kb) |
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