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.
| Original language | English |
|---|---|
| Pages (from-to) | 333-363 |
| Number of pages | 31 |
| Journal | Taiwanese Journal of Mathematics |
| Volume | 20 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2016 Apr 1 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
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Mixed, componentwise condition numbers and small sample statistical condition estimation for generalized spectral projections and matrix sign functions. / Wang, Wei Guo; Wang, Chern-Shuh; Wei, Yi Min; Xie, Peng Peng.
In: Taiwanese Journal of Mathematics, Vol. 20, No. 2, 01.04.2016, p. 333-363.Research output: Contribution to journal › Article
TY - JOUR
T1 - Mixed, componentwise condition numbers and small sample statistical condition estimation for generalized spectral projections and matrix sign functions
AU - Wang, Wei Guo
AU - Wang, Chern-Shuh
AU - Wei, Yi Min
AU - Xie, Peng Peng
PY - 2016/4/1
Y1 - 2016/4/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84962016499&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84962016499&partnerID=8YFLogxK
U2 - 10.11650/tjm.20.2016.5398
DO - 10.11650/tjm.20.2016.5398
M3 - Article
AN - SCOPUS:84962016499
VL - 20
SP - 333
EP - 363
JO - Taiwanese Journal of Mathematics
JF - Taiwanese Journal of Mathematics
SN - 1027-5487
IS - 2
ER -