2007•Dianzi Ke-ji Daxue xuebaoRequires access

Inverses of Block Tridiagonal Matrices

Ting‐Zhu Huang

Abstract

The inverse of a nonsymmetrical block tridiagonal matrix is investigated.Two twisted decompositions of a block tridiaognal matrix are firstly given according to LU and UL decompositions.Based on these block decompositions and the special structure of the inverse matrix,an algorithm for inverting a block tridiaognal matrix is established.The computing complexity of this algorithm is lower than that of some existed algorithm.

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