The numerical rank of a matrix and its applications
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摘要
In this paper, it is proved that the probabilities of a real random matrix and a rational random matrix being non-singular are 1 in the matrix computations, respectively. Finally, the applications for the least squares problem are given.
论文关键词：Numerical rank,Lebesgue measure,Least-square problem,Condition number
论文评审过程：Available online 27 June 2007.
论文官网地址：https://doi.org/10.1016/j.amc.2007.06.005
