Conditioning and accurate computations with Pascal matrices
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摘要
A result on the ill-conditioning of Pascal matrices is proved. However, it is shown that bidiagonal factorizations of Pascal matrices can be applied to perform computations with high relative accuracy.
论文关键词：65F05,65F15,65F35,Pascal matrices,Bidiagonal factorizations,Accurate computations,Conditioning,Vandermonde matrices
论文评审过程：Received 13 September 2011, Available online 21 December 2011.
论文官网地址：https://doi.org/10.1016/j.cam.2011.12.007
