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

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

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 languageEnglish
Pages (from-to)333-363
Number of pages31
JournalTaiwanese Journal of Mathematics
Volume20
Issue number2
DOIs
Publication statusPublished - 2016 Apr

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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