@inproceedings{8ad32981269745618503a50f905b2be4,
title = "Square-root free orthogonalization algorithms",
abstract = "This paper is concerned with the derivation and analysis of higher order algorithms of polynomial type for computing an orthonormal basis of a subspace. These algorithms are derived from unconstrained optimization of certain cost functions. The proposed methods are efficient and do not require square root computation. Based on these, algorithms for orthonormalization with respect to a positive definite matrix and principal and minor subspace methods are developed. Numerical experiments illustrate the theoretical results.",
keywords = "Global stability, Gram-Schmidt process, Higher order fixed point polynomials, Orthonormalization",
author = "Hasan, {Mohammed A.}",
year = "2009",
doi = "10.1109/ICASSP.2009.4960298",
language = "English (US)",
isbn = "9781424423545",
series = "ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings",
pages = "3173--3176",
booktitle = "2009 IEEE International Conference on Acoustics, Speech, and Signal Processing - Proceedings, ICASSP 2009",
note = "2009 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2009 ; Conference date: 19-04-2009 Through 24-04-2009",
}