Mixed, Componentwise Condition Numbers and Small Sample Statistical Condition Estimation for Generalized Spectral Projections and Matrix Sign Functions

Taiwanese Journal of Mathematics ◽

10.11650/tjm.20.2016.5398 ◽

2016 ◽

Vol 20 (2) ◽

pp. 333-363 ◽

Author(s):

Wei-Guo Wang ◽

Chern-Shuh Wang ◽

Yi-Min Wei ◽

Peng-Peng Xie

Keyword(s):

Small Sample ◽

Condition Numbers ◽

Condition Estimation ◽

Spectral Projections

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Mixed, componentwise condition numbers and small sample statistical condition estimation of Sylvester equations

Numerical Linear Algebra with Applications ◽

10.1002/nla.790 ◽

2011 ◽

Vol 19 (4) ◽

pp. 639-654 ◽

Author(s):

Huaian Diao ◽

Hua Xiang ◽

Yimin Wei

Keyword(s):

Small Sample ◽

Condition Numbers ◽

Condition Estimation

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Effective condition numbers and small sample statistical condition estimation for the generalized Sylvester equation

Science China Mathematics ◽

10.1007/s11425-013-4583-3 ◽

2013 ◽

Vol 56 (5) ◽

pp. 967-982 ◽

Author(s):

HuaiAn Diao ◽

XingHua Shi ◽

YiMin Wei

Keyword(s):

Small Sample ◽

Condition Numbers ◽

Sylvester Equation ◽

Condition Estimation ◽

Generalized Sylvester Equation ◽

Effective Condition

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Structured condition numbers and small sample condition estimation of symmetric algebraic Riccati equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.06.028 ◽

2017 ◽

Vol 314 ◽

pp. 80-97

Author(s):

Huai-An Diao ◽

Dongmei Liu ◽

Sanzheng Qiao

Keyword(s):

Riccati Equations ◽

Small Sample ◽

Condition Numbers ◽

Algebraic Riccati Equations ◽

Condition Estimation

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Applications of small-sample statistical condition estimation in control

Proceedings of Joint Conference on Control Applications Intelligent Control and Computer Aided Control System Design ◽

10.1109/cacsd.1996.555258 ◽

2002 ◽

Author(s):

T.T. Gudmundsson ◽

C.S. Kenney ◽

A.J. Laub ◽

M.S. Reese

Keyword(s):

Small Sample ◽

Condition Estimation

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Small-sample statistical condition estimation of rational Riccati equations

Applied Mathematics Letters ◽

10.1016/j.aml.2019.106172 ◽

2020 ◽

Vol 103 ◽

pp. 106172 ◽

Author(s):

Liping Zhang ◽

Eric King-Wah Chu ◽

Hung-Yuan Fan ◽

Yimin Wei

Keyword(s):

Riccati Equations ◽

Small Sample ◽

Condition Estimation

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Small-sample statistical condition estimation of large-scale generalized eigenvalue problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2015.11.022 ◽

2016 ◽

Vol 298 ◽

pp. 24-39

Author(s):

Peter Chang-Yi Weng ◽

Frederick Kin Hing Phoa

Keyword(s):

Large Scale ◽

Eigenvalue Problems ◽

Small Sample ◽

Condition Estimation ◽

Generalized Eigenvalue ◽

Generalized Eigenvalue Problems

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On condition numbers of the spectral projections associated with periodic eigenproblems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2013.06.019 ◽

2014 ◽

Vol 272 ◽

pp. 417-429 ◽

Author(s):

Xiao Shan Chen ◽

Wen Li ◽

Michael K. Ng

Keyword(s):

Condition Numbers ◽

Spectral Projections

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Small sample statistical condition estimation for the total least squares problem

Numerical Algorithms ◽

10.1007/s11075-016-0185-9 ◽

2016 ◽

Vol 75 (2) ◽

pp. 435-455 ◽

Author(s):

Huai-An Diao ◽

Yimin Wei ◽

Pengpeng Xie

Keyword(s):

Least Squares ◽

Total Least Squares ◽

Small Sample ◽

Least Squares Problem ◽

Condition Estimation

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Structured condition numbers and statistical condition estimation for the LDU factorization

Applied Mathematics-A Journal of Chinese Universities ◽

10.1007/s11766-020-3659-4 ◽

2020 ◽

Vol 35 (3) ◽

pp. 332-348

Author(s):

Mahvish Samar ◽

Aamir Farooq ◽

Chun-lai Mu

Keyword(s):

Condition Numbers ◽

Condition Estimation

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Backward errors and small-sample condition estimation for ⋆-Sylveter equations

International Journal of Computer Mathematics ◽

10.1080/00207160.2017.1280155 ◽

2017 ◽

Vol 94 (10) ◽

pp. 2106-2121 ◽

Author(s):

Huai-An Diao ◽

Hong Yan ◽

Eric King-wah Chu

Keyword(s):

Small Sample ◽

Condition Estimation ◽

Backward Errors

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