Rank properties of a sequence of block bidiagonal toeplitz matrices

Grigoris I. Kalogeropoulos; Athanasios D. Karageorgos; Marilena Mitrouli; Athanasios A. Pantelous

Rank properties of a sequence of block bidiagonal toeplitz matrices

Grigoris I. Kalogeropoulos, Athanasios D. Karageorgos, Marilena Mitrouli, Athanasios A. Pantelous

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Abstract

In the present paper, we proposed a new efficient rank updating methodology for evaluating the rank (or equivalently the nullity) of a sequence of block diagonal Toeplitz matrices. The results are applied to a variation of the partial realization problem. Characteristically, this sequence of block matrices is a basis for the computation of the Weierstrass canonical form of a matrix pencil that appeared in many practical numerical applications in control theory.

Original language	English
Pages (from-to)	13-32
Number of pages	20
Journal	Neural, Parallel and Scientific Computations
Volume	18
Issue number	1
Publication status	Published - Mar 2010
Externally published	Yes

Keywords

Block Bidiagonal Toeplitz Matrices
Rank Computational Algorithm

Cite this

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AU - Pantelous, Athanasios A.

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Rank properties of a sequence of block bidiagonal toeplitz matrices

Abstract

Keywords

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