This article is cited in 3 papers

On counter orthogonalization processes

A. O. Egorshin

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: The deduction the counter orthogonalization equation for homogeneous, i.e., generated by isometric operators, vector systems in the Hilbert space is given. The application of this theory deals, in particular, with solving the Toeplitz algebraic and integral equations, some problems of the signals estimation, inverse problems of mathematical modeling, and identification.

Key words: homogeneous vectors systems, orthogonal projection, orthogonal projector, the Grama–Shmidt orthogonalization, counter orthogonalization.

UDC: 517.925.54+517.962.27/.8

Received: 06.02.2011
Revised: 17.03.2011

 English version: Numerical Analysis and Applications, 2012, 5:4, 307–319

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