Analysis of algorithms for orthogonalizing products of unitary matrices

Numerical Linear Algebra with Applications

Volumn 3, Issue 2, 1996, Pages 125-145

  Mathias, Roy ^a  

^a William and Mary   (United States)

Author keywords

Error analysis; Orthogonalization; Polar decomposition; QR factorization; Subspace tracking

Indexed keywords

EID: 21344472944     PISSN: 10705325     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1506(199603/04)3:2<125::AID-NLA72>3.0.CO;2-8     Document Type: Article

References (10)

1. K. Fan and A. J. Hoffman. Some metric inequalities in the space of matrices. Proc. Amer. Math. Soc., 6, 111-116, 1955.
2. R. A. Horn and C. R. Johnson. Matrix Analysis. Cambridge University Press, New York, 1985.
3. R. Mathias. Perturbation bounds for the polar decomposition. SIAM J. Matrix Anal. Appl., 14(2), 588-597, 1993.
4. N. J. Higham. Computing the polar decomposition - with applications. SIAM J. Sci. Stat. Comp., 7(4), 1160-1174, 1986.
5. C. Kenney and A. J. Laub. On scaling Newton's method for the polar decomposition and the matrix sign function. SIAM J. Matrix Anal. Appl., 13(3), 688-706, 1992.
6. A. Edelman and G. W. Stewart. Scaling for orthogonality. Technical Report 984, Inst. Math. Applic., University of Minnesota, 1992.
7. M. Moonen, P. Van Dooren and J. Vandewalle. A note on efficient numerically stabilized rank-one eigenstructure updating. IEEE Sig. Proc., 39(8), 1911-1914, 1991.
8. R. DeGroat and R. Roberts. Efficient, numerically stablized rank-one eigenstructure updating. IEEE Trans. Acoust. Speech Sig. Proc., 38(2), 301-316, 1990.
9. M. Moonen. Jacobi-type Updating Algorithms for Signal Processing, Systems Identification and Control. PhD thesis, Katholieke Universiteit Leuven, Belgium, 1990.
10. R. DeGroat. Author's reply. IEEE Sig. Proc., 39(8), 1913-1914, 1991.