Mixed, componentwise condition numbers and small sample statistical condition estimation for generalized spectral projections and matrix sign functions

Wei Guo Wang, Chern Shuh Wang, Yi Min Wei, Peng Peng Xie

研究成果: Article同行評審

3 引文 斯高帕斯(Scopus)

摘要

The explicit expressions of mixed and componentwise condition numbers for the spectral projections, generalized spectral projections and sign functions for matrices and regular matrix pairs are derived. The condition numbers improve some known results of the normwise type and reveal the structured perturbations. Statistical condition estimation is applied to these problems which can be calculated efficiently.

原文English
頁(從 - 到)333-363
頁數31
期刊Taiwanese Journal of Mathematics
20
發行號2
DOIs
出版狀態Published - 2016 四月

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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