Scaling for orthogonality
- 1 April 1993
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Signal Processing
- Vol. 41 (4) , 1676-1677
- https://doi.org/10.1109/78.212741
Abstract
In updating algorithms where orthogonal transformations are accumulated, it is important to preserve the orthogonality of the product in the presence of rounding error. Moonen et al. (ibid., vol.39, p.1911-13, 1991) have pointed out that simply normalizing the columns of the product tends to preserve orthogonality-though not, as DeGroat (ibid., vol.39, p.1913-14, 1991) points out, to working precision. The authors discuss the previous work and give an analysis of the phenomenonKeywords
This publication has 2 references indexed in Scilit:
- A note on 'Efficient numerically stabilized rank-one eigenstructure updating' (and reply)IEEE Transactions on Signal Processing, 1991
- Efficient, numerically stabilized rank-one eigenstructure updating (signal processing)IEEE Transactions on Acoustics, Speech, and Signal Processing, 1990