A novel elementary algorithm for solving comrade linear systems
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摘要
Recently, three computational algorithms for solving comrade linear systems have been proposed by Karawia (2013, 2007) [6,5] and by Sogabe (2008) [10]. In this paper, we derive a novel elementary algorithm for solving comrade linear systems based on matrix reordering and the Sherman–Morrison–Woodbury formula. An efficient method of evaluating the determinant of a comrade matrix is also discussed.
论文关键词：Comrade matrices,Determinants,Triangular matrices,Sherman–Morrison–Woodbury formula,Linear systems
论文评审过程：Available online 16 April 2014.
论文官网地址：https://doi.org/10.1016/j.amc.2014.03.096
