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2008•Physics of Particles and Nuclei LettersRequires access

Properties of generalized matrix sequence

Ermuhammad Dushanov

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Abstract

In case of block-tridiagonal matrix, the problem of calculation of a generalized double-point matrix sequence is examined. The general form of inverse matrix of the bordered matrix is obtained when the initial matrix is singular. The criterion of existence of the generalized matrix sequence is found, and the algorithm of calculation of the sequence and the structure elements of the block-tridiagonal matrices are given.

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What this paper is about

In case of block-tridiagonal matrix, the problem of calculation of a generalized double-point matrix sequence is examined. The general form of inverse matrix of the bordered matrix is obtained when the initial matrix is singular. The criterion of existence of the generalized matrix sequence is found, and the algorithm of calculation of the sequence and the structure elements of the block-tridiagonal matrices are given.

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Available abstract

In case of block-tridiagonal matrix, the problem of calculation of a generalized double-point matrix sequence is examined. The general form of inverse matrix of the bordered matrix is obtained when the initial matrix is singular. The criterion of existence of the generalized matrix sequence is found, and the algorithm of calculation of the sequence and the structure elements of the block-tridiagonal matrices are given.

Key concepts: Tridiagonal matrix, Block matrix, Sequence (biology), Band matrix, Matrix (chemical analysis), Single-entry matrix, Physics, Matrix splitting

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