The use of the Sherman–Morrison–Woodbury formula to solve cyclic block tri-diagonal and cyclic block penta-diagonal linear systems of equations

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摘要

The article presents a new theoretical viewpoint of Batista’s algorithms for solving cyclic tri-diagonal (and penta-diagonal) linear systems. The theory is based on the Sherman–Morrison–Woodbury formula.

论文关键词:Linear algebraic systems,Block system,Cyclic systems,Periodic system,Tri-diagonal systems,Penta-diagonal system,Sherman–Morrison–Woodbury formula

论文评审过程:Received 24 June 2008, Revised 30 December 2008, Accepted 5 January 2009, Available online 8 January 2009.

论文官网地址:https://doi.org/10.1016/j.amc.2009.01.003