A NEW FAST QR ALGORITHM-BASED ON A-PRIORI ERRORS

Citation
Ja. Apolinario et Psr. Diniz, A NEW FAST QR ALGORITHM-BASED ON A-PRIORI ERRORS, IEEE signal processing letters, 4(11), 1997, pp. 307-309
Citations number
7
Categorie Soggetti
Engineering, Eletrical & Electronic
ISSN journal
10709908
Volume
4
Issue
11
Year of publication
1997
Pages
307 - 309
Database
ISI
SICI code
1070-9908(1997)4:11<307:ANFQAO>2.0.ZU;2-6
Abstract
This letter presents a new fast QR algorithm based on Givens rotations using a priori errors, The principles behind the triangularization of the weighted input data matrix via QR decomposition and the type of e rrors used in the updating process are exploited in order to investiga te the relationships among different fast algorithms of the QR family, These algorithms are classified according to a general framework and a detailed description of the new algorithm is presented.