@article{338baaa52e264d1aad23b97cf9612e49,
title = "Mixed, componentwise condition numbers and small sample statistical condition estimation for generalized spectral projections and matrix sign functions",
abstract = "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.",
author = "Wang, {Wei Guo} and Wang, {Chern Shuh} and Wei, {Yi Min} and Xie, {Peng Peng}",
note = "Funding Information: W. Wang is supported by the National Natural Science Foundation of China under grant 11371333, Shandong Province Natural Science Foundation Grant ZR2013AM025, and the Fundamental Research Funds for the Central Universities under grant 201362030. Y. Wei is supported by the National Natural Science Foundation of China under grant 11271084. P. Xie is supported by the National Natural Science Foundation of China under grant 11271084. Publisher Copyright: {\textcopyright} 2016, Mathematical Society of the Rep. of China. All Rights Reserved.",
year = "2016",
month = apr,
doi = "10.11650/tjm.20.2016.5398",
language = "English",
volume = "20",
pages = "333--363",
journal = "Taiwanese Journal of Mathematics",
issn = "1027-5487",
publisher = "Mathematical Society of the Rep. of China",
number = "2",
}