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2008•Journal of Huaihai Institute of TechnologyRequires access

On the Solution of Block Pentadiagonal Toeplitz Linear Systems

Le Jiang

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Abstract

This paper gives a new effective method to solve the block pentadiagonal Toeplitz systems of linear equations.The derivation of the result is principally based on the factorization of a block pentadiagonal Toeplitz matrix and a matrix split.The block circulant pentadiagonal linear equations are also considered.Finally,some numerical experiments are given to illustrate the effectiveness of our algorithm.

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What this paper is about

This paper gives a new effective method to solve the block pentadiagonal Toeplitz systems of linear equations.The derivation of the result is principally based on the factorization of a block pentadiagonal Toeplitz matrix and a matrix split.The block circulant pentadiagonal linear equations are also considered.Finally,some numerical experiments are given to illustrate the effectiveness of our algorithm.

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Available abstract

This paper gives a new effective method to solve the block pentadiagonal Toeplitz systems of linear equations.The derivation of the result is principally based on the factorization of a block pentadiagonal Toeplitz matrix and a matrix split.The block circulant pentadiagonal linear equations are also considered.Finally,some numerical experiments are given to illustrate the effectiveness of our algorithm.

Key concepts: Toeplitz matrix, Circulant matrix, Factorization, Block (permutation group theory), Mathematics, Linear system, Matrix (chemical analysis), Applied mathematics

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