A note on the componentwise perturbation bounds of matrix inverse and linear systems
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摘要
In this note, we present sharp bounds for the componentwise perturbation of matrix inverse and linear systems, especially for nonsingular M-matrix. We also use matrix derivatives to deduce the matrix componentwise condition number and present some numerical tests to show our results.
论文关键词:Matrix inverse,Nonsingular linear system,M-matrix,Componentwise,Perturbation
论文评审过程:Available online 6 January 2005.
论文官网地址:https://doi.org/10.1016/j.amc.2004.10.065