Spectral Dichotomy Methods of a Matrix with respect to the General Equation of the Parabola
DOI:
https://doi.org/10.29020/nybg.ejpam.v15i2.4348Keywords:
Spectral dichotomy method, spectral projector, eigensubspaces, eigenvaluesAbstract
This paper presents methods of spectral dichotomy of a matrix which compute spectral projectors on the subspace associated with the eigenvalues external to the parabolas described by a general equation. These methods are modifications of the one proposed in [A. N. Malyshev and M. Sadkane, SIAM J. MATRIX ANAL. APPL. 18 (2), 265-278, 1997] which uses the spectral dichotomy method of a matrix with respect to the imaginary axis. Theoretical and algorithmic aspects of the methods are developed. Numerical results obtained by applying methods presented on matrices are reported.
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