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Perturbation theory for the singular value decomposition

. SVD and Signal Processing, II: Algorithms, Analysis and Applications, (1991)

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On the Sensitivity of the Eigenvalue Problem \$Ax=Bx\$. SIAM Journal on Numerical Analysis, (1972)Error Analysis of the Quasi-Gram-Schmidt Algorithm.. SIAM J. Matrix Anal. Appl., 27 (2): 493-506 (2005)On the Perturbation of LU, Cholesky, and QR Factorizations.. SIAM J. Matrix Anal. Appl., 14 (4): 1141-1145 (October 1993)On the Structure of Nearly Uncoupled Markov Chains.. Computer Performance and Reliability, page 287-302. North-Holland, (1983)A Note on Complex Division.. ACM Trans. Math. Softw., 11 (3): 238-241 (1985)On the Early History of the Singular Value Decomposition. SIAM Review, 35 (4): 551--566 (December 1993)Algorithm 844: Computing sparse reduced-rank approximations to sparse matrices., , and . ACM Trans. Math. Softw., 31 (2): 252-269 (2005)Direction-of-arrival estimation using the rank-revealing URV decomposition., , and . ICASSP, page 1385-1388. IEEE Computer Society, (1991)On the Numerical Analysis of Oblique Projectors.. SIAM J. Matrix Anal. Appl., 32 (1): 309-348 (2011)An Algorithm for Generalized Matrix Eigenvalue Problems, and . SIAM Journal on Numerical Analysis, 10 (2): 241--256 (April 1973)