2007•Shuxue de shijian yu renshiRequires access

A New Algorithm of Solving Block Tridiagonal Systems

Xu Zhong

Abstract

A new algorithm of solving block tridiagonal systems is proposed,which is based on the special factorization of block tridiagonal matrix.The algorithm includes selective parameter-matrices.Proper selected parameter-matrices make new algorithm higher in precision than the famous Thomas algorithm. When the Thomas algorithm invalidate for some numerical examples,the new algorithm can solve.

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Available abstract

Key concepts: Tridiagonal matrix, Tridiagonal matrix algorithm, Algorithm, Block (permutation group theory), Matrix (chemical analysis), Mathematics, Block matrix, Computer science