On perturbation bounds for orthogonal projections-Reference-Cited by-同舟云学术

On perturbation bounds for orthogonal projections

Published:2016-01-26 Issue:2 Volume:73 Page:433-444
ISSN:1017-1398
Container-title:Numerical Algorithms
language:en
Short-container-title:Numer Algor

Author:

Chen Yan Mei,Chen Xiao Shan,Li Wen

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Link

http://link.springer.com/article/10.1007/s11075-016-0102-2/fulltext.html

Reference16 articles.

1. Bhatia, R.: Matrix Analysis. Springer, New York (1997)

2. Chen, X.S., Li, W.: Relative perturbation bounds for the subunitary polar factor under unitarily invariant norms. Adv. Math. 35, 178–184 (2006). (in Chinese)

3. Elden, L.: A weighted pseudoinverse, generalized singular values and constrained least squares problmes 22, 487–502 (1982)

4. Fierro, R.D., Bunch, J.R.: Orthogonal projection and total least squares. Numer. Linear Algebra Appl. 2, 135–153 (1995)

5. Golub, G.H., Van Loan, C.F.: Matrix Computations, Johns Hopkins Studies in the Mathematical Sciences, 3rd edn. Johns Hopkins University Press, Baltimore, MD (1996)

Cited by 10 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the Consistency and Large-Scale Extension of Multiple Kernel Clustering;IEEE Transactions on Pattern Analysis and Machine Intelligence;2024-10

2. New multiplicative perturbation bounds on orthogonal projection;Linear and Multilinear Algebra;2023-04-03

3. A Schatten-q low-rank matrix perturbation analysis via perturbation projection error bound;Linear Algebra and its Applications;2021-12

4. Random Forests for Spatially Dependent Data;Journal of the American Statistical Association;2021-08-13

5. On the perturbation of the Moore–Penrose inverse of a matrix;Applied Mathematics and Computation;2020-06