On the processes of diorthogonalization of some vector families, which appear while characteristic polynomes of matrices are being constructed and which are used for solving the systems of linear algebraic equations. 1
DOI:
https://doi.org/10.24028/gzh.0203-3100.v27i3.2005.214451Abstract
In accordance with published data some methods of indirect determination of characteristic matrix polynome based upon orthogonalization of some vectors sequences have been outlined in the paper. The normal course of calculation process is shown to be dependent not only on the structure of the initial matrix but also on appropriate choice of the initial vector (or a couple of vectors if a method of bioorthogonalization is the case in point).
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