METHOD OF SPECTRAL DICHOTOMY OF A MATRIX WITH RESPECT TO A CIRCLE OR AN ELLIPSE NOT CENTERED AT THE ORIGIN
Keywords:
spectral dichotomy method, spectral projector, eigensubspaces, eigenvalues.DOI:
https://doi.org/10.17654/0975045222008Abstract
We discuss the two methods of spectral dichotomy of a matrix: one for computing a spectral projector associated with the eigenvalues inside an off-center circle and another for computing a spectral projector associated with the eigenvalues outside an off-center ellipse. We extend the methods of spectral dichotomy relative to a centered circle (respectively, to a centered ellipse) to an off-center circle (respectively, to an off-center ellipse) by using changes of variables. Numerical examples are proposed to support the results obtained.
Received: August 3, 2022
Accepted: September 20, 2022
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