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

DOI10.11650/tjm.20.2016.5398zbMath1357.15003OpenAlexW2318826193MaRDI QIDQ515004

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

Publication date: 9 March 2017

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/tjm.20.2016.5398

zbMATH Keywords

structured perturbationsmixedcomponentwise condition numbergeneralized spectral projectionsmatrix regular pairmatrix sign functionsstatistical condition estimation

Mathematics Subject Classification ID

Numerical computation of matrix norms, conditioning, scaling (65F35) Conditioning of matrices (15A12)

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Condition numbers and backward error of a matrix polynomial equation arising in stochastic models ⋮ Structured condition numbers and small sample condition estimation of symmetric algebraic Riccati equations ⋮ Normwise, mixed and componentwise condition numbers of matrix equation X-∑_{i=1}^p A_i^T XA_i + ∑_{j=1}^q B_j^T XB_j = Q$

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