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2006•Ha'erbin gongye daxue xuebaoRequires access

Inverses of tridiagonal matrices

Ruisheng Ran

Open publisher page 2 citations

Abstract

In this paper,the inverse of a tridiagonal matrix is investigated.By the LU and UL decompositions of a tridiagonal matrix and the special structure of the inverse matrix,an algorithm for inverting a tridiaognal matrix and the explicit expression of the elements of the inverse matrix are presented.The computing complexity and the computing time of this algorithm is lower than those of some existed algorithms for inverting a block tridiaognal matrix.

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What this paper is about

In this paper,the inverse of a tridiagonal matrix is investigated.By the LU and UL decompositions of a tridiagonal matrix and the special structure of the inverse matrix,an algorithm for inverting a tridiaognal matrix and the explicit expression of the elements of the inverse matrix are presented.The computing complexity and the computing time of this algorithm is lower than those of some existed algorithms for inverting a block tridiaognal matrix.

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Available abstract

In this paper,the inverse of a tridiagonal matrix is investigated.By the LU and UL decompositions of a tridiagonal matrix and the special structure of the inverse matrix,an algorithm for inverting a tridiaognal matrix and the explicit expression of the elements of the inverse matrix are presented.The computing complexity and the computing time of this algorithm is lower than those of some existed algorithms for inverting a block tridiaognal matrix.

Key concepts: Tridiagonal matrix, Block matrix, Tridiagonal matrix algorithm, Band matrix, Matrix (chemical analysis), Inverse, Mathematics, Matrix splitting

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