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

Authors

  • O. A. Chernaya Subbotin Institute of Geophysics, National Academy of Sciences of Ukraine, Ukraine
  • A. I. Yakimchik Subbotin Institute of Geophysics, National Academy of Sciences of Ukraine, Ukraine https://orcid.org/0000-0002-5091-9221

DOI:

https://doi.org/10.24028/gzh.0203-3100.v27i3.2005.214451

Abstract

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).

References

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Published

2005-06-01

How to Cite

Chernaya, O. A., & Yakimchik, A. I. (2005). 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. Geofizicheskiy Zhurnal, 27(3), 503–511. https://doi.org/10.24028/gzh.0203-3100.v27i3.2005.214451

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