2012Numerical Analysis and ApplicationsRequires access

On counter orthogonalization processes

A. O. Egorshin

Open publisher page 2 citations

Abstract

Equations for counter orthogonalization of homogeneous (i.e., generated by isometric operators) vector systems in a Hilbert space are deduced. This theory can be applied to solving Toeplitz algebraic and integral equations, some problems of signals estimation, and inverse problems of mathematical modeling and identification.

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Equations for counter orthogonalization of homogeneous (i.e., generated by isometric operators) vector systems in a Hilbert space are deduced. This theory can be applied to solving Toeplitz algebraic and integral equations, some problems of signals estimation, and inverse problems of mathematical modeling and identification.

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Available abstract

Equations for counter orthogonalization of homogeneous (i.e., generated by isometric operators) vector systems in a Hilbert space are deduced. This theory can be applied to solving Toeplitz algebraic and integral equations, some problems of signals estimation, and inverse problems of mathematical modeling and identification.

Key concepts: Orthogonalization, Toeplitz matrix, Hilbert space, Mathematics, Inverse problem, Integral equation, Applied mathematics, Algebraic number

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